{"id":1689,"date":"2016-05-03T11:31:32","date_gmt":"2016-05-03T03:31:32","guid":{"rendered":"http:\/\/systemsci.org\/jinshanw\/?p=1689"},"modified":"2017-11-03T14:20:01","modified_gmt":"2017-11-03T06:20:01","slug":"%e7%a7%91%e5%ad%a6%e5%ad%a6%e6%96%b0%e6%a1%86%e6%9e%b6","status":"publish","type":"post","link":"https:\/\/www.systemsci.org\/jinshanw\/2016\/05\/03\/%e7%a7%91%e5%ad%a6%e5%ad%a6%e6%96%b0%e6%a1%86%e6%9e%b6\/","title":{"rendered":"\u79d1\u5b66\u5b66\u65b0\u6846\u67b6"},"content":{"rendered":"<p>\u5728\u7269\u7406\u5b66\u800c\u8a00\uff0c\u4e00\u4e2a\u73b0\u8c61\u7684\u65b0\u6846\u67b6\u5c31\u662f\u6307\u627e\u5230\u4e86\u8fd9\u4e2a\u73b0\u8c61\u7684\u4e00\u4e2a\u6570\u5b66\u7ed3\u6784\uff0c\u5e76\u4e14\u628a\u8fd9\u4e2a\u6570\u5b66\u7ed3\u6784\u7528\u6765\u63cf\u8ff0\u8fd9\u4e2a\u73b0\u8c61\uff0c\u89e3\u51b3\u8fd9\u4e2a\u73b0\u8c61\u7684\u4e00\u4e9b\u95ee\u9898\u3002\u4e00\u822c\u6765\u8bf4\uff0c\u4e00\u4e2a\u73b0\u8c61\u5177\u6709\u81ea\u5df1\u5185\u5728\u7684\u7ed3\u6784\u7684\uff0c\u5fc5\u987b\u5728\u5339\u914d\u4e0a\u8fd9\u4e2a\u5185\u5728\u7ed3\u6784\u7684\u6570\u5b66\u6a21\u578b\uff0c\u624d\u662f\u8fd9\u4e2a\u73b0\u8c61\u7684\u4e00\u4e2a\u597d\u6846\u67b6\u3002\u8fd9\u6837\u4e00\u4e2a\u6846\u67b6\u8fd8\u8981\u6c42\u5927\u90e8\u5206\u95ee\u9898\u7684\u8ba8\u8bba\u90fd\u53ef\u4ee5\u5efa\u7acb\u5728\u8fd9\u4e2a\u6846\u67b6\u7684\u6570\u5b66\u7ed3\u6784\u4e0a\uff08\u80fd\u5b9a\u4e49\u95ee\u9898\u5c31\u884c\uff0c\u80fd\u4e0d\u80fd\u6c42\u89e3\u662f\u53e6\u4e00\u4e2a\u95ee\u9898\uff09\u3002\u4f8b\u5982\uff0c\u77e2\u91cf\uff08\u548c\u77e2\u91cf\u5fae\u79ef\u5206\uff0c\u751a\u81f3\u6d41\u5f62\u4e0a\u7684\u5fae\u79ef\u5206\uff09\u7528\u6765\u63cf\u8ff0\u7269\u4f53\u7684\u8fd0\u52a8\u72b6\u6001\uff0cHilbert\u7a7a\u95f4\u7684\u77e2\u91cf\u7528\u6765\u63cf\u8ff0\u91cf\u5b50\u6001\u3002<\/p>\n<p>\u79d1\u5b66\u5b66\u65e8\u5728\u4ece\u79d1\u5b66\u5bb6\uff08\u4e13\u5229\u53d1\u660e\u8005\uff0c\u4ee5\u53ca\u76f8\u5173\u7684\u673a\u6784\uff0c\u4f8b\u5982\u5927\u5b66\u3001\u671f\u520a\u7b49\uff09\u7684\u6d3b\u52a8\u8bb0\u5f55\uff08\u4e3b\u8981\u662f\u6587\u732e\u53d1\u8868\u8bb0\u5f55\uff09\u4e2d\u6765\u53d1\u73b0\u79d1\u5b66\u3001\u79d1\u5b66\u7814\u7a76\u3001\u79d1\u5b66\u5bb6\u7684\u4e00\u4e9b\u89c4\u5f8b\uff0c\u4e86\u89e3\u4e00\u4e9b\u73b0\u72b6\uff0c\u7136\u540e\u5c3d\u53ef\u80fd\u5730\u6765\u60f3\u529e\u6cd5\u77e5\u9053\u4e00\u70b9\u70b9\u672a\u6765\uff0c\u5728\u53ef\u80fd\u7684\u5730\u65b9\u4fc3\u8fdb\u4e00\u4e0b\u79d1\u5b66\u7684\u53d1\u5c55\u3002<\/p>\n<p>\u76ee\u524d\u6765\u8bf4\uff0c\u5927\u90e8\u5206\u7814\u7a76\u7684\u6570\u636e\u57fa\u7840\u662f\u6587\u732e\u9898\u5f55\u516c\u53f8\u6536\u96c6\u6574\u7406\u7684\u8bba\u6587\u53d1\u8868\u8bb0\u5f55\u548c\u4e13\u5229\u767b\u8bb0\u8bb0\u5f55\u3002\u5927\u90e8\u5206\u7684\u7814\u7a76\u662f\u63d0\u51fa\u67d0\u4e2a\u6307\u6807\u91cf\uff08\u4f8b\u5982\u671f\u520a\u7684IF\uff0c\u4f5c\u8005\u7684h\u6307\u6570\uff09\u3001\u8ba8\u8bba\u67d0\u4e2a\u91cf\u7684\u5206\u5e03\u51fd\u6570\uff08\u4f8b\u5982\u6587\u7ae0\u88ab\u5f15\u6b21\u6570\u7684\u5206\u5e03\uff09\uff0c\u4ee5\u53ca\u5206\u6790\u67d0\u51e0\u4e2a\u91cf\u4e4b\u95f4\u7684\u76f8\u5173\u6027\uff08\u4f8b\u5982\u6240\u53d1\u8868\u7684\u671f\u520a\u7684IF\u548c\u6587\u7ae0\u88ab\u5f15\u6b21\u6570\u7684\u5173\u7cfb\uff09\u3002\u9898\u5f55\u6570\u636e\u4e3b\u8981\u5305\u542b\uff1a\u6587\u7ae0\u552f\u4e00\u6807\u8bb0\u3001\u6807\u9898\u3001\u4f5c\u8005\u3001\u4f5c\u8005\u5355\u4f4d\u3001\u671f\u520a\uff08\u540d\u79f0\u3001\u5377\u671f\u9875\u3001\u6295\u7a3f\u65e5\u671f\u3001\u63a5\u53d7\u65e5\u671f\uff09\u3001\u53c2\u8003\u6587\u732e\u3001\u88ab\u5f15\uff08\u88ab\u4ec0\u4e48\u6587\u7ae0\u5f15\u7528\u8fd9\u4e2a\u6570\u636e\uff0c\u5b9e\u9645\u4e0a\u4e0d\u80fd\u72ec\u7acb\u5f53\u4f5c\u6570\u636e\uff0c\u662f\u53ef\u4ee5\u901a\u8fc7\u53c2\u8003\u6587\u732e\u53cd\u5411\u7edf\u8ba1\u51fa\u6765\u7684\u3002\u4f46\u662f\uff0c\u4e3a\u4e86\u8bf4\u8bdd\u65b9\u4fbf\uff0c\u8fd9\u91cc\u8fd8\u662f\u5f53\u4f5c\u9898\u5f55\u6570\u636e\u7684\u4e00\u90e8\u5206\u597d\u4e86\uff09\u3002\u6709\u7684\u4e13\u4e1a\u673a\u6784\u8fd8\u5bf9\u6587\u7ae0\u505a\u4e86\u4e3b\u9898\u6807\u8bb0\uff0c\u4f8b\u5982PACS\uff0cMeSH\uff0cMSC\uff0cJEL\u3002\u9898\u5f55\u6570\u636e\u4e3b\u8981\u662f\u5f62\u5f0f\u6570\u636e\u3002\u4e3b\u9898\u6807\u8bb0\u4e00\u5b9a\u7a0b\u5ea6\u4e0a\u63d0\u4f9b\u4e86\u5185\u5bb9\u6570\u636e\u3002\u5173\u4e8e\u4e3b\u9898\u7684\u7814\u7a76\u5728\u76ee\u524d\u7684\u79d1\u5b66\u5b66\u91cc\u9762\u8fd8\u4e0d\u592a\u591a\u3002\u8fd8\u6709\u7684\u66f4\u5c11\u91cf\u7684\u7814\u7a76\u4f01\u56fe\u901a\u8fc7\u5904\u7406\u5168\u6587\u6765\u83b7\u5f97\u66f4\u591a\u7684\u5185\u5bb9\u4fe1\u606f\uff08\u4f8b\u5982\u770b\u4e00\u770b\u67d0\u4e00\u4e2a\u4e13\u6709\u540d\u8bcd\u5728\u54ea\u4e00\u7bc7\u6587\u7ae0\u4e2d\u6700\u521d\u51fa\u73b0\uff09\u3002<\/p>\n<p>\u5728\u8fd9\u4e2a\u6570\u636e\u7684\u57fa\u7840\u4e0a\uff0c\u90a3\u5c31\u5177\u4f53\u95ee\u9898\u5177\u4f53\u5206\u6790\u4e86\u3002\u4f8b\u5982\uff0c\u4eba\u4eec\u53ef\u4ee5\u7814\u7a76\u79d1\u5b66\u5bb6\u5982\u4f55\u4ece\u4e00\u4e2a\u5730\u65b9\u8dd1\u5230\u53e6\u5916\u4e00\u4e2a\u5730\u65b9\uff0c\u79d1\u5b66\u5bb6\u7684\u521b\u65b0\u6027\u548c\u5e74\u9f84\u7684\u5173\u7cfb\uff0c\u7b49\u5f85\u65f6\u95f4\u548c\u88ab\u5f15\u6b21\u6570\u7684\u76f8\u5173\u6027\uff0c\u4e00\u4e2a\u5b66\u672f\u673a\u6784\uff08\u5927\u5b66\u3001\u57ce\u5e02\u3001\u56fd\u5bb6\uff09\u7684\u79d1\u5b66\u8868\u73b0\uff0c\u67d0\u4e2a\u79d1\u5b66\u9886\u57df\u4e2d\u5f53\u524d\u7684\u70ed\u70b9\uff0c\u79d1\u5b66\u5bb6\u548c\u8bba\u6587\u7684\u6392\u540d\u548c\u63a8\u8350\u7b49\u7b49\u7b49\u7b49\u3002<\/p>\n<p>\u5b9e\u9645\u4e0a\uff0c\u8fd8\u6709\u4e00\u4e9b\u95ee\u9898\uff0c\u662f\u975e\u5e38\u503c\u5f97\u7814\u7a76\u7684\uff0c\u4f46\u662f\uff0c\u7531\u4e8e\u6280\u672f\u6216\u8005\u6570\u636e\u7684\u539f\u56e0\uff0c\u6216\u8005\u662f\u5b66\u79d1\u53d1\u5c55\u65b9\u5411\u7684\u95ee\u9898\uff0c\u6216\u8005\u5b66\u79d1\u57fa\u672c\u6570\u5b66\u7ed3\u6784\u7684\u95ee\u9898\uff0c\u76ee\u524d\u5f97\u5230\u7684\u5173\u6ce8\u4e0d\u591f\u3002\u4f8b\u5982\uff0c\u6587\u7ae0\u7684\u7c97\u7c92\u5316\uff08\u4f8b\u5982\u6587\u7ae0\u7684\u4e3b\u9898\u6807\u6ce8\u3001\u6587\u7ae0\u4e3b\u8981\u8d21\u732e\u7684\u81ea\u52a8\u6458\u8981\uff09\u3001\u6587\u7ae0\u7684\u4e2a\u6027\u5316\u63a8\u8350\uff08\u8bc6\u522b\u79d1\u5b66\u5bb6\u7684\u5174\u8da3\uff0c\u5339\u914d\u6587\u7ae0\u7684\u4e3b\u9898\uff09\u3001\u79d1\u5b66\u53d1\u5c55\u72b6\u6001\u7684\u63cf\u8ff0\uff08\u4f8b\u5982\u9886\u57df\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u79d1\u5b66\u548c\u6280\u672f\u9886\u57df\u4e4b\u95f4\u7684\u5173\u7cfb\uff09\u3001\u6587\u7ae0\u4e2d\u77e5\u8bc6\u7684\u6316\u6398\u3001\u79d1\u5b66\u5bb6\u5728\u7814\u7a76\u4e3b\u9898\u548c\u7814\u7a76\u65b9\u6cd5\u5de5\u5177\u4e0a\u9762\u7684\u9009\u62e9\u3002\u8fd9\u4e9b\u95ee\u9898\u548c\u4e00\u7ebf\u7684\u79d1\u5b66\u5bb6\u4ee5\u53ca\u79d1\u5b66\u7ba1\u7406\u8005\u76f4\u63a5\u76f8\u5173\u3002\u8fd9\u6837\u7684\u95ee\u9898\u5982\u679c\u80fd\u591f\u5f97\u5230\u56de\u7b54\u5c31\u4f1a\u4ece\u79d1\u5b66\u5b66\u9886\u57df\u672c\u8eab\u4e2d\u8d70\u51fa\u6765\uff0c\u670d\u52a1\u79d1\u5b66\u5bb6\u548c\u793e\u4f1a\u3002<\/p>\n<p>\u8fd9\u6837\u7684\u4e00\u4e9b\u7814\u7a76\u5c31\u9700\u8981\u79d1\u5b66\u5b66\u9886\u57df\u4ece\u5f62\u5f0f\u6570\u636e\u8d70\u5411\u5185\u5bb9\u6570\u636e\uff0c\u800c\u5185\u5bb9\u6570\u636e\u6700\u5173\u952e\u7684\u5c31\u662f\u5e95\u5c42\u7684\u6982\u5ff5\u7f51\u7edc\uff0c\u6216\u8005\u53eb\u505a\u77e5\u8bc6\u7f51\u7edc\u3002\u6982\u5ff5\u7f51\u7edc\u7684\u9876\u70b9\u662f\u4e00\u4e2a\u4e2a\u7684\u6982\u5ff5\uff0c\u8fde\u8fb9\u5219\u662f\u6982\u5ff5\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u5173\u7cfb\u53ef\u4ee5\u4e30\u5bcc\u591a\u6837\u3002\u5f53\u7136\uff0c\u5c42\u6b21\u6027\u5173\u7cfb\u53ef\u80fd\u6bd4\u8f83\u5bb9\u6613\u628a\u63e1\uff0c\u5e76\u4e14\u6bd4\u8f83\u666e\u904d\u3002\u4f46\u662f\uff0c\u5f88\u591a\u91cd\u8981\u7684\u5173\u7cfb\u4f1a\u8868\u73b0\u4e3a\u7a81\u7834\u5c42\u6b21\u6027\u5173\u7cfb\u7684\u957f\u7a0b\u8fde\u63a5\u3002<\/p>\n<p>\u9274\u4e8e\u5bf9\u79d1\u5b66\u5b66\u7684\u8fd9\u4e2a\u8ba4\u8bc6\uff0c\u6211\u4f01\u56fe\u7ed9\u51fa\u4e00\u4e2a\u79d1\u5b66\u5b66\u7814\u7a76\u7684\u65b0\u6846\u67b6\u2014\u2014\u4e00\u4e2a\u65b0\u7684\u6570\u636e\u548c\u95ee\u9898\u7684\u5173\u7cfb\u7f51\u7edc\uff1a\u4f5c\u8005-\u6587\u732e-\u6982\u5ff5\u4e09\u5c42\u7f51\u7edc\u3002\u4e00\u4e2a\u7b80\u5355\u7684\u793a\u610f\u56fe\u5982\u4e0b\u3002<\/p>\n<p>\u5c42\u5185\u5173\u7cfb\uff1a\u4f5c\u8005\u4e4b\u95f4\u7684\u5bfc\u5e08\u5b66\u751f\u5173\u7cfb\uff08\u5408\u4f5c\u5173\u7cfb\u4f53\u73b0\u5728\u5c42\u95f4\u800c\u4e0d\u662f\u4f5c\u8005\u5c42\u5185\u3001\u540c\u4e8b\u5173\u7cfb\u4f53\u73b0\u5728\u4f5c\u8005\u96c6\u5408\u4e0a\u800c\u4e0d\u662f\u7f51\u7edc\u4e0a\uff09\u3001\u6587\u732e\u4e4b\u95f4\u7684\u5f15\u7528\u5173\u7cfb\u3001\u6982\u5ff5\u4e4b\u95f4\u7684\u5185\u5bb9\u4e0a\u7684\u903b\u8f91\u6216\u8005\u5176\u4ed6\u4f9d\u8d56\u5173\u7cfb\u3002<br \/>\n\u5c42\u95f4\u5173\u7cfb\uff1a\u4f5c\u8005\u521b\u4f5c\u8bba\u6587\u3001\u6587\u732e\u5173\u6ce8\u67d0\u4e9b\u6982\u5ff5\u3002<\/p>\n<p>\u6211\u4eec\u8bb0\u8fd9\u4e2a\u5173\u7cfb\u4e3a\u77e9\u9635<br \/>\n&#091;A = \\left(A^{i^{\\alpha}}_{j^{\\beta}}\\right),&#093;<br \/>\n\u5176\u4e2d\u5e0c\u814a\u5b57\u6bcd\u4e3a\u5c42\u6807\u53f7\uff0c\u62c9\u4e01\u5b57\u6bcd\u4e3a\u9876\u70b9\u6807\u53f7\u3002\u539f\u5219\u4e0a\uff0c\u8fd9\u4e2a\u77e9\u9635\u662f\u6240\u6709\u7684\u8fd9\u6837\u7684\u5c42\u95f4\uff08&#040;A^{\\alpha\\beta}&#041;\uff09\u548c\u5c42\u5185\uff08&#040;A^{\\alpha\\alpha}&#041;\uff09\u5173\u7cfb\u7684\u7efc\u5408\u3002\u5728\u8fd9\u4e2a\u5173\u7cfb\u77e9\u9635\u7684\u57fa\u7840\u4e0a\uff0c\u6211\u4eec\u8fd8\u9700\u8981\u6dfb\u52a0\u4eba\u4e3a\u5b9a\u4e49\u6216\u8005\u81ea\u7136\u805a\u96c6\u7684\u67d0\u5c42\u9876\u70b9\u7684\u4e00\u7cfb\u5217\u96c6\u5408&#040;\\left&#123;X^{\\alpha}\\right&#125;&#041;\uff0c\u4f8b\u5982\u5b66\u79d1\u53ef\u4ee5\u770b\u505a\u662f\u6982\u5ff5\u7684\u534a\u81ea\u7136\u805a\u96c6\u534a\u4eba\u4e3a\u5b9a\u4e49\u7684\u5c42\u6b21\u6027\u96c6\u5408\u3002<\/p>\n<p>\u5982\u679c\u540c\u4e00\u5bf9\u9876\u70b9\u4e4b\u95f4\u5b58\u5728\u7740\u591a\u79cd\u5173\u7cfb\uff0c\u53ef\u4ee5\u7528\u8fd9\u6837\u7684\u8bb0\u53f7\uff0c&#040;A^{\\left(I\\right),i^{\\alpha}}<em>{j^{\\beta}}&#041;\uff0c&#040;A^{\\left(II\\right),i^{\\alpha}}<\/em>{j^{\\beta}}&#041;\u3002<\/p>\n<p>\u597d\u4e86\uff0c\u6709\u4e86\u8fd9\u4e2a\u6570\u5b66\u63cf\u8ff0\uff0c\u6211\u4eec\u73b0\u5728\u6765\u770b\u662f\u4e0d\u662f\u5927\u591a\u6570\u79d1\u5b66\u5b66\u95ee\u9898\u90fd\u53ef\u4ee5\u53d8\u6210\u5bf9\u8fd9\u4e2a\u77e9\u9635&#040;A&#041;\u7684\u67d0\u79cd\u64cd\u4f5c\uff0c\u7136\u540e\uff0c\u6309\u7167\u67d0\u4e9b\u4e2a\u989d\u5916\u7684\u96c6\u5408&#040;\\left&#123;X^{\\alpha}\\right&#125;&#041;\u5bf9\u64cd\u4f5c\u7684\u7ed3\u679c\u505a\u4e00\u4e2a\u7edf\u8ba1\u3002<\/p>\n<p>\u4e3e\u4f8b\uff08\u4e0d\u7ec6\u8bf4\u4e86\uff0c\u539f\u5219\u4e0a\u5e94\u8be5\u7a77\u4e3e\u4e00\u4e0b\uff09\uff1a\u7b80\u5355\u7edf\u8ba1\u5206\u5e03\u51fd\u6570\u548c\u76f8\u5173\u6027\u7684\u7814\u7a76\u4e0d\u7528\u8bf4\u3002\u8bc4\u4ef7\u6587\u7ae0\u548c\u4f5c\u8005\u7684\u95ee\u9898\u53ef\u4ee5\u5229\u7528\u5c42\u95f4\u4f20\u64ad\u3002\u591a\u6837\u6027\u7684\u95ee\u9898\u4e5f\u53ef\u4ee5\u8003\u8651\u5c42\u95f4\u4f20\u64ad\u3002\u7814\u7a76\u95ee\u9898\u548c\u65b9\u6cd5\u7684\u9009\u62e9\u7684\u95ee\u9898\u5fc5\u987b\u7528\u591a\u5c42\u7f51\u7edc\u2014\u2014\u4e00\u4e2a\u9886\u57df\u7684\u7814\u7a76\u5de5\u4f5c\u7684\u968f\u673a\u884c\u8d70\u6216\u8005\u4e00\u4e2a\u4f5c\u8005\u7684\u7814\u7a76\u5de5\u4f5c\u7684\u968f\u673a\u884c\u8d70\u3002<\/p>\n<p>\u90a3\u4e48\uff0c\u9664\u4e86\u80fd\u591f\u628a\u5404\u79cd\u5df2\u7ecf\u6709\u7684\u7814\u7a76\u5de5\u4f5c\u548c\u5206\u6790\u6280\u672f\u7edf\u4e00\u8d77\u6765\uff0c\u8fd9\u4e2a\u77e9\u9635&#040;A&#041;\u52a0\u4e0a\u96c6\u5408&#040;\\left&#123;X^{\\alpha}\\right&#125;&#041;\u7684\u8bed\u8a00\uff0c\u8fd8\u6709\u4ec0\u4e48\u597d\u5904\u5462\uff1f<\/p>\n<p>\u7b2c\u4e00\uff0c\u7406\u5ff5\u4e0a\uff0c\u663e\u5f0f\u5730\u628a\u6982\u5ff5\u5c42\u7684\u5185\u5bb9\u6570\u636e\u653e\u5230\u5206\u6790\u6846\u67b6\u91cc\u9762\u6765\u3002\u8fd9\u6837\u9886\u57df\u4e4b\u95f4\u7684\u5173\u7cfb\u7684\u7814\u7a76\uff0c\u7c97\u7c92\u5316\u548c\u81ea\u52a8\u6458\u8981\u3001\u63a8\u8350\u7684\u5de5\u4f5c\u5c31\u66f4\u6709\u53ef\u80fd\u5f97\u5230\u7814\u7a76\u3002<\/p>\n<p>\u7b2c\u4e8c\uff0c\u7406\u5ff5\u4e0a\uff0c\u628a\u5404\u79cd\u79d1\u5b66\u5b66\u8ba8\u8bba\u7684\u5173\u7cfb\u653e\u5728\u4e86\u7b80\u5355\u57fa\u672c\u7684\u7edf\u4e00\u7684\u6846\u67b6\u4e0a\u3002\u5404\u79cd\u5171\u73b0\u5206\u6790\u3001\u5f15\u7528\u5206\u6790\u7b49\u7b49\uff0c\u5728\u6211\u4eec\u8fd9\u4e2a\u6846\u67b6\u4e0b\u9762\uff0c\u90fd\u662f\u901a\u8fc7\u8fd9\u4e2a\u57fa\u672c\u591a\u5c42\u7f51\u7edc\u5173\u7cfb\u8ba1\u7b97\u6216\u8005\u8fd1\u4f3c\u8ba1\u7b97\u51fa\u6765\u7684\u3002\u4e8e\u662f\uff0c\u6211\u4eec\u9700\u8981\u628a\u4e4b\u524d\u7684\u95ee\u9898\u548c\u65b9\u6cd5\uff0c\u9009\u62e9\u51e0\u4e2a\uff0c\u7528\u8fd9\u4e2a\u65b0\u7684\u6846\u67b6\u6765\u63cf\u8ff0\u4e00\u4e0b\u3002<\/p>\n<p>\u7b2c\u4e09\uff0c\u7528\u65b0\u7684\u6846\u67b6\u6765\u56de\u7b54\u4e4b\u524d\u7684\u79d1\u5b66\u5b66\u7814\u7a76\u7684\u95ee\u9898\uff0c\u53d1\u5c55\u65b0\u7684\u5728\u591a\u5c42\u7f51\u7edc\u4e0a\u76f4\u63a5\u8ba1\u7b97\u7684\u65b9\u6cd5\uff0c\u8ddf\u4ee5\u524d\u7684\u65b9\u6cd5\u7684\u7ed3\u679c\u76f8\u6bd4\u8f83\u3002\u4f8b\u5982\uff0c\u4e4b\u524d\u7684\u5de5\u4f5c\uff0c\u5927\u591a\u5173\u6ce8\u4e2d\u95f4\u7684\u6587\u732e\u5c42\uff0c\u6216\u8005\u628a\u5176\u4ed6\u5c42\u7684\u5173\u7cfb\u6295\u5f71\u5230\u6587\u732e\u5c42\u6765\u7814\u7a76\u3002\u8fd9\u6837\u7684\u5de5\u4f5c\uff0c\u5982\u679c\u80fd\u591f\u76f4\u63a5\u5728\u591a\u5c42\u7f51\u7edc\u4e0a\u6765\u7814\u7a76\uff0c\u5c31\u6709\u53ef\u80fd\u6709\u65b0\u7684\u65b9\u6cd5\uff0c\u5f97\u5230\u65b0\u7684\u7ed3\u679c\u3002\u4f8b\u5982\uff0c\u4f5c\u8005\u8bc6\u522b\u7684\u95ee\u9898\u5c31\u53ef\u4ee5\u548c\u4f5c\u8005\u9886\u57df\u6807\u8bb0\u8fd9\u4e2a\u95ee\u9898\u5408\u8d77\u6765\u653e\u5230\u4e09\u5c42\u7f51\u7edc\u4e0a\u76f4\u63a5\u6765\u5206\u6790\uff0c\u800c\u4e0d\u662f\u5c40\u9650\u5728\u67d0\u4e2a\u6295\u5f71\u4e4b\u540e\u7684\u5355\u5c42\u7f51\u7edc\u3002\u518d\u5982\uff0c\u6587\u7ae0\u7684\u91cd\u8981\u6027\u3001\u4e3b\u9898\u7684\u91cd\u8981\u6027\u3001\u4f5c\u8005\u7684\u91cd\u8981\u6027\u53ef\u4ee5\u653e\u5728\u4e00\u8d77\u6765\u8ba8\u8bba\u3002\u5177\u4f53\u8ba1\u7b97\u4e0a\u53ef\u4ee5\u7528\u8fd9\u4e2a\u591a\u5c42\u7f51\u7edc\u6846\u67b6\u7684PageRank\u6216\u8005\u6295\u5165\u4ea7\u51fa\u3002<strong>\u76ee\u524d\u8ba1\u5212\u8ba8\u8bba\uff1a\u591a\u6837\u6027\uff0c\u6392\u5e8f\uff0c\u4f5c\u8005\u8bc6\u522b<\/strong>\u3002<\/p>\n<p>\u7b2c\u56db\uff0c\u63d0\u51fa\u65b0\u7684\u6846\u67b6\u4e0b\u624d\u80fd\u8ba8\u8bba\u7684\u65b0\u7684\u95ee\u9898\u3002\u8fd9\u4e2a\u6709\u5f85\u8fdb\u4e00\u6b65\u601d\u8003\u3002<\/p>\n<p>\u7b2c\u4e94\uff0c\u63d0\u51fa\u65b0\u7684\u6846\u67b6\u4e0b\u624d\u80fd\u53d1\u5c55\u7684\u65b0\u7684\u65b9\u6cd5\u3002<strong>\u76ee\u524d\u65b9\u6cd5\u4e0a\u6253\u7b97\u5c1d\u8bd5\uff1a\u591a\u5c42\u7f51\u7edc\u4e0a\u7684\u6295\u5165\u4ea7\u51fa\u5206\u6790\u65b9\u6cd5<\/strong>\uff0c\u4ee5\u53ca\u5217\u5728\u8fd9\u91cc\u7684\u95ee\u9898\uff1a<a href=\"http:\/\/systemsci.org\/jinshanw\/2016\/05\/05\/%E8%BE%B9%E7%9A%84pagerank%E5%80%BC%EF%BC%8C%E5%A4%9A%E5%B1%82%E7%BD%91%E7%BB%9C%E4%BC%A0%E6%92%AD%E9%97%AE%E9%A2%98%E3%80%81pagerank%E4%BB%A5%E5%8F%8A%E6%8A%95%E5%85%A5%E4%BA%A7%E5%87%BA%E5%88%86\/\" target=\"_blank\">\u8fb9\u7684PageRank\u503c\uff0c\u591a\u5c42\u7f51\u7edc\u4f20\u64ad\u95ee\u9898\u3001PageRank\u4ee5\u53ca\u6295\u5165\u4ea7\u51fa\u5206\u6790\uff0c\u8fd8\u6709PageRank k-core\u9879\u76ee<\/a>\u3002<\/p>\n<p>\u8fd9\u7bc7\u6587\u732e\u63d0\u51fa\u4e86\u7c7b\u4f3c\u7684\u5173\u7cfb\u7f51\u7edc\uff0c\u8fd8\u7528\u591a\u5c42\u7f51\u7edc\u4e0a\u7684PageRank\u6765\u8ba8\u8bba\u4e86\u6587\u7ae0\u4f5c\u8005\u7b49\u7684\u91cd\u8981\u6027\uff08\u5de5\u4f5c\u505a\u5b8c\u4e4b\u540e\uff0c\u4e00\u5b9a\u8981\u8ddf\u8fd9\u7fa4\u4eba\u8054\u7cfb\u4e00\u4e0b\uff0c\u592a\u795e\u5947\u4e86\uff0c\u8fd9\u6837\u7684ideas\u4e5f\u6709\u5176\u4ed6\u4eba\u60f3\u5230\uff09\uff1a<br \/>\n<a href=\"https:\/\/www.google.com.hk\/url?sa=t&amp;rct=j&amp;q=&amp;esrc=s&amp;source=web&amp;cd=1&amp;cad=rja&amp;uact=8&amp;ved=0ahUKEwiBxfHQtYHNAhXLOI8KHX9zCF0QFgggMAA&amp;url=%68%74%74%70%3a%2f%2f%61%63%6c%32%30%31%34%2e%6f%72%67%2f%61%63%6c%32%30%31%34%2f%51%31%34%2f%70%64%66%2f%51%31%34%2d%31%30%31%32%2e%70%64%66&amp;usg=AFQjCNFrVb8TrEIEQ79tZHjXEaNx3XlRnw\" target=\"_blank\">Heterogeneous Networks and Their Applications: Scientometrics, Name Disambiguation, and Topic Modeling<\/a><\/p>\n<p>\u6536\u5230Ronald\u7684\u8f6c\u8fc7\u6765\u7684\u6587\u732e<a href=\"http:\/\/arxiv.org\/abs\/physics\/0503061\" target=\"_blank\">Construction of bipartite and unipartite weighted networks from collections of journal papers<\/a>\uff0c\u53d1\u73b0\u7c7b\u4f3c\u7684\u201c\u79d1\u5b66\u5b66\u7684\u591a\u5c42\u7f51\u7edc\u6846\u67b6\u201d\u7684\u60f3\u6cd5\u5df2\u7ecf\u88ab\u63d0\u51fa\u6765\uff0c\u5c3d\u7ba1\u6587\u7ae0\u672c\u8eab\u7f3a\u4e4f\u5177\u4f53\u5de5\u4f5c\u7684\u652f\u6491\u3002<\/p>\n<p>\u7c7b\u4f3c\u7684\u4e00\u4e2a\u591a\u5c42\u7f51\u7edc\u4e0a\u7684PageRank\u7684\u5de5\u4f5c\u53ef\u89c1\uff1a<a href=\"http:\/\/www.nature.com\/ncomms\/2015\/150423\/ncomms7868\/pdf\/ncomms7868.pdf\" target=\"_blank\">Ranking in interconnected multilayer networks reveals versatile nodes<\/a>\u4ee5\u53ca<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1601.06075\" target=\"_blank\">Evaluating the impact of interdisciplinary research: a multilayer network approach<\/a><\/p>\n<p>\u66f4\u52a0\u8be6\u7ec6\u4e00\u70b9\u7684\u5728\u8fd9\u91cc\u591a\u5c42\u7f51\u7edc\u4e0a\u7684\u4e2d\u5fc3\u6027\uff08\u4e2d\u5fc3\u6027\u5ea6\u91cf\u7684\u5b9a\u4e49\u4ece\u5355\u5c42\u7f51\u7edc\u5230\u591a\u5c42\u7f51\u7edc\u7684\u63a8\u5e7f\u90fd\u975e\u5e38\u76f4\u63a5\uff0c\u8fd8\u9700\u8981\u4ed4\u7ec6\u8003\u8651\uff09\uff1a<a href=\"http:\/\/people.maths.ox.ac.uk\/porterm\/research\/Flora_BEE_Submitted-032315.pdf\" target=\"_blank\">Centrality measures in multilayer networks<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u7269\u7406\u5b66\u800c\u8a00\uff0c\u4e00\u4e2a\u73b0\u8c61\u7684\u65b0\u6846\u67b6\u5c31\u662f\u6307\u627e\u5230\u4e86\u8fd9\u4e2a\u73b0\u8c61\u7684\u4e00\u4e2a\u6570\u5b66\u7ed3\u6784\uff0c\u5e76\u4e14\u628a\u8fd9\u4e2a\u6570\u5b66\u7ed3\u6784\u7528\u6765\u63cf\u8ff0\u8fd9\u4e2a\u73b0\u8c61\uff0c\u89e3\u51b3\u8fd9\u4e2a &hellip; <a href=\"https:\/\/www.systemsci.org\/jinshanw\/2016\/05\/03\/%e7%a7%91%e5%ad%a6%e5%ad%a6%e6%96%b0%e6%a1%86%e6%9e%b6\/\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">\u201c\u79d1\u5b66\u5b66\u65b0\u6846\u67b6\u201d<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[11],"tags":[65,132],"_links":{"self":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/1689"}],"collection":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/comments?post=1689"}],"version-history":[{"count":1,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/1689\/revisions"}],"predecessor-version":[{"id":4137,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/1689\/revisions\/4137"}],"wp:attachment":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/media?parent=1689"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/categories?post=1689"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/tags?post=1689"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}