{"id":48954,"date":"2024-03-16T09:01:51","date_gmt":"2024-03-16T01:01:51","guid":{"rendered":"https:\/\/swarma.org\/?p=48954"},"modified":"2024-03-16T09:01:51","modified_gmt":"2024-03-16T01:01:51","slug":"%e6%8e%a7%e5%88%b6%e8%ae%ba%e4%b9%a6%e7%b1%8d%e6%8e%a8%e8%8d%90%ef%bc%9a%e3%80%8a%e6%97%b6%e5%8f%98%e9%9a%8f%e6%9c%ba%e7%b3%bb%e7%bb%9f%e3%80%8b%e4%b8%8e%e3%80%8a%e6%8e%a7%e5%88%b6%e7%90%86%e8%ae%ba","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=48954","title":{"rendered":"\u63a7\u5236\u8bba\u4e66\u7c4d\u63a8\u8350\uff1a\u300a\u65f6\u53d8\u968f\u673a\u7cfb\u7edf\u300b\u4e0e\u300a\u63a7\u5236\u7406\u8bba\u5bfc\u8bba\u300b"},"content":{"rendered":"
\n
\n
\n
\n

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


<\/p>\n


<\/p>\n

\n
\n
\n
\n
\n

<\/section>\n

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

\u5b66\u8005\u7b80\u4ecb<\/strong><\/span><\/strong><\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


<\/p>\n

<\/section>\n

\u90ed\u96f7\uff0c\u4e2d\u56fd\u79d1\u5b66\u9662\u9662\u58eb\u3001\u73b0\u4efb\u4e2d\u79d1\u9662\u6570\u5b66\u4e0e\u7cfb\u7edf\u79d1\u5b66\u7814\u7a76\u9662\u7279\u8058\u7814\u7a76\u5458\u3001\u4e2d\u79d1\u9662\u56fd\u5bb6\u6570\u5b66\u4e0e\u4ea4\u53c9\u79d1\u5b66\u4e2d\u5fc3\u4e3b\u4efb<\/strong>\u3001\u4e2d\u79d1\u9662\u4fe1\u606f\u6280\u672f\u5b66\u90e8\u4e3b\u4efb\u3001\u4e9a\u6d32\u63a7\u5236\u534f\u4f1a\u4e3b\u5e2d\u7b49\u3002\u66fe\u4efb\u4e2d\u79d1\u9662\u6570\u5b66\u4e0e\u7cfb\u7edf\u79d1\u5b66\u7814\u7a76\u9662\u9662\u957f\u3001\u4e2d\u56fd\u5de5\u4e1a\u4e0e\u5e94\u7528\u6570\u5b66\u5b66\u4f1a\u7406\u4e8b\u957f\u3001\u56fd\u9645\u5de5\u4e1a\u4e0e\u5e94\u7528\u6570\u5b66\u4e16\u754c\u5927\u4f1a\u4e3b\u5e2d\u3001\u4e2d\u56fd\u5927\u767e\u79d1\u5168\u4e66\uff08\u4e09\u7248\uff09\u7cfb\u7edf\u79d1\u5b66\u5377\u4e3b\u7f16\u7b49\u3002\u4ed6\u662f\u4e2d\u56fd\u79d1\u5b66\u9662\u9662\u58eb\uff0c\u53d1\u5c55\u4e2d\u56fd\u5bb6\u79d1\u5b66\u9662\u9662\u58eb\uff0c\u745e\u5178\u7687\u5bb6\u5de5\u7a0b\u79d1\u5b66\u9662\u5916\u7c4d\u9662\u58eb\uff0c\u745e\u5178\u7687\u5bb6\u7406\u5de5\u5b66\u9662\uff08KTH\uff09\u8363\u8a89\u535a\u58eb\uff0c\u7f8e\u56fdIEEE\u4f1a\u58eb\uff0c\u56fd\u9645\u81ea\u52a8\u63a7\u5236\u8054\u5408\u4f1a\u4f1a\u58eb\uff0c\u4e2d\u56fd\u5de5\u4e1a\u4e0e\u5e94\u7528\u6570\u5b66\u4f1a\u4f1a\u58eb\uff0c\u4e2d\u56fd\u81ea\u52a8\u5316\u5b66\u4f1a\u4f1a\u58eb\u7b49\u30022019\u5e74\u4ed6\u56e0\u4e3a\u201c\u5728\u81ea\u9002\u5e94\u63a7\u5236\u3001\u7cfb\u7edf\u8fa8\u8bc6\u3001\u81ea\u9002\u5e94\u4fe1\u53f7\u5904\u7406\u3001\u968f\u673a\u7cfb\u7edf\u53ca\u5e94\u7528\u6570\u5b66\u9886\u57df\u7684\u6839\u672c\u6027\u548c\u5b9e\u9645\u6027\u8d21\u732e\u201d \u800c\u83b7\u5f97IEEE\u63a7\u5236\u7cfb\u7edf\u5b66\u4f1a\uff08CSS\uff09\u9881\u53d1\u7684\u6ce2\u5fb7\u5956<\/strong>\uff08Hendrik W. Bode Lecture Prize\uff09\uff0c\u662f\u83b7\u6b64\u56fd\u9645\u5b66\u672f\u5927\u5956\u7684\u9996\u4f4d\u534e\u4eba\u79d1\u5b66\u5bb6\u3002\u591a\u6b21\u5728\u63a7\u5236\u4e0e\u6570\u5b66\u7b49\u9886\u57df\u56fd\u9645\u9876\u7ea7\u5b66\u672f\u4f1a\u8bae\u4e0a\u4f5c\u7279\u9080\u62a5\u544a\u3002<\/span><\/p>\n

\u957f\u671f\u4ece\u4e8b\u7cfb\u7edf\u4e0e\u63a7\u5236\u79d1\u5b66\u7814\u7a76\uff0c\u7279\u522b\u662f\u81ea\u9002\u5e94\u4e0e\u4e0d\u786e\u5b9a\u6027\u52a8\u6001\u7cfb\u7edf\u7684\u5b66\u4e60\u3001\u6ee4\u6ce2\u3001\u63a7\u5236\u4e0e\u535a\u5f08\u7b49\u3002\u76ee\u524d\u7814\u7a76\u5174\u8da3\u5305\u62ec\uff1a\u673a\u5668\u5b66\u4e60\u7406\u8bba\uff0c\u81ea\u9002\u5e94\u7cfb\u7edf\u7406\u8bba\uff0c\u667a\u80fd\u63a7\u5236\u7cfb\u7edf\uff0c\u535a\u5f08\u63a7\u5236\u7cfb\u7edf\uff0c\u4eba\u673a\u878d\u5408\u7cfb\u7edf\uff0c\u590d\u6742\u7cfb\u7edf\u79d1\u5b66\uff0c\u4ee5\u53ca\u5728\u5de5\u7a0b\u3001\u793e\u4f1a\u4e0e\u751f\u547d\u7cfb\u7edf\u4e2d\u76f8\u5173\u95ee\u9898\u4ea4\u53c9\u4e0e\u5e94\u7528\u7814\u7a76\u3002<\/strong><\/span><\/section>\n

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

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


<\/h2>\n

\u300a\u65f6\u53d8\u968f\u673a\u7cfb\u7edf\uff1a\u7a33\u5b9a\u6027\u4e0e\u81ea\u9002\u5e94\u7406\u8bba\u300b<\/strong><\/span><\/strong><\/strong><\/h2>\n

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

<\/section>\n

\u63a8\u8350\u8bed<\/strong><\/span><\/h3>\n

\u65f6\u53d8\u968f\u673a\u7cfb\u7edf\u5e7f\u6cdb\u5b58\u5728\u4e8e\u5ba2\u89c2\u4e16\u754c\u4e2d\uff0c\u5728\u822a\u7a7a\u3001\u822a\u5929\u3001\u822a\u6d77\u3001\u5de5\u4e1a\u8fc7\u7a0b\u3001\u793e\u4f1a\u3001\u7ecf\u6d4e\u3001\u751f\u7269\u3001\u751f\u6001\u7b49\u9886\u57df\u4e2d\u6bd4\u6bd4\u7686\u662f\uff0c\u90ed\u96f7\u9662\u58eb\u57281993\u5e74\u51fa\u7248\u4e86\u300a\u65f6\u53d8\u968f\u673a\u7cfb\u7edf\uff1a\u7a33\u5b9a\u6027\u3001\u4f30\u8ba1\u4e0e\u63a7\u5236\u300b\u7b2c\u4e00\u7248\uff0c\u7528\u7edf\u4e00\u7684\u89c2\u70b9\u7814\u7a76\u4e86\u51e0\u4e2a\u4e0d\u540c\u9886\u57df\u5171\u540c\u5173\u5fc3\u7684\u95ee\u9898\uff0c\u7528\u9ad8\u8d85\u7684\u6570\u5b66\u6280\u5de7\uff0c\u5bf9\u65f6\u53d8\u968f\u673a\u7cfb\u7edf\u7ed9\u51fa\u4e86\u5f88\u6709\u7279\u8272\u7684\u5206\u6790\u3002\u57281995\u5e74\uff0c\u8be5\u4e66\u8363\u83b7\u5168\u56fd\u4f18\u79c0\u79d1\u6280\u56fe\u4e66\u5956\u4e00\u7b49\u5956\u3002<\/span><\/p>\n

\u81ea1993\u5e74\u4e66\u7c4d\u51fa\u7248\u4ee5\u6765\uff0c\u63a7\u5236\u79d1\u5b66\u9886\u57df\u53d1\u751f\u4e86\u5f88\u591a\u53d8\u5316\uff0c\u7279\u522b\u5728\u52a8\u6001\u7f51\u7edc\u548c\u591a\u4e2a\u4f53\u7cfb\u7edf\u7b49\u8bf8\u591a\u65b9\u9762\u90fd\u6d8c\u73b0\u51fa\u4e86\u4e00\u6279\u65b0\u6210\u529f\u3002\u65b0\u7684\u7814\u7a76\u53d1\u5c55\u5f80\u5f80\u79bb\u4e0d\u5f00\u5df2\u6709\u7684\u57fa\u7840\uff0c\u4e66\u7c4d\u4e2d\u6240\u8ba8\u8bba\u7684\u57fa\u672c\u95ee\u9898\u548c\u57fa\u672c\u7b97\u6cd5\u5728\u4eca\u5929\u4ecd\u503c\u5f97\u5173\u6ce8\u3002\u4e3a\u4e86\u9752\u5e74\u5b66\u8005\u548c\u540c\u884c\u4e13\u5bb6\u7684\u5b66\u4e60\u548c\u7814\u7a76\u9700\u8981\uff0c2020\u5e746\u6708\uff0c\u5bf9\u4e66\u7c4d\u8fdb\u884c\u518d\u7248\uff0c\u300a\u65f6\u53d8\u968f\u673a\u7cfb\u7edf\uff1a\u7a33\u5b9a\u6027\u4e0e\u81ea\u9002\u5e94\u7406\u8bba\u300b\u7531\u79d1\u5b66\u51fa\u7248\u793e\u51fa\u7248\u3002<\/span><\/p>\n

\u672c\u4e66\u9002\u7528\u4e8e\u81ea\u52a8\u63a7\u5236\u3001\u7cfb\u7edf\u79d1\u5b66\u3001\u5e94\u7528\u6570\u5b66\u3001\u4fe1\u53f7\u5904\u7406\u3001\u673a\u5668\u5b66\u4e60\u3001\u6982\u7387\u7edf\u8ba1\u3001\u65f6\u95f4\u5e8f\u5217\u3001\u8fd0\u7b79\u4f18\u5316\u53ca\u76f8\u5173\u79d1\u6280\u548c\u5de5\u7a0b\u9886\u57df\u7684\u79d1\u7814\u4eba\u5458\u3001\u5de5\u7a0b\u5e08\u3001\u6559\u5e08\u548c\u7814\u7a76\u751f\u53c2\u8003\u3002<\/span><\/section>\n

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

\u76ee\u5f55<\/strong><\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

\n
\n
\n
\n

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

\u7b2c\u4e8c\u7248\u524d\u8a00<\/span><\/p>\n

\u7b2c\u4e00\u7248\u5e8f<\/span><\/p>\n

\u7b2c\u4e00\u7248\u524d\u8a00<\/span><\/p>\n

\u7b26\u53f7\u8868<\/span><\/p>\n

\u7b2c1\u7ae0 \u9884\u5907\u77e5\u8bc6 1<\/span><\/p>\n

1.1 \u8303\u6570\u4e0e\u77e9\u9635 1<\/span><\/section>\n
1.2 \u5b9e\u5e8f\u5217\u4e0e\u4e0d\u7b49\u5f0f 8<\/span><\/section>\n
1.3 \u9785\u4e0e\u968f\u673a\u8fc7\u7a0b 17<\/span><\/section>\n
1.4 \u7cfb\u7edf\u7684\u7a33\u5b9a\u6027\u6982\u5ff5 26<\/span><\/section>\n
1.5 \u63a7\u5236\u7cfb\u7edf\u7684\u67d0\u4e9b\u57fa\u672c\u6982\u5ff5 30<\/span><\/section>\n
\u7b2c2\u7ae0 \u7a33\u5b9a\u6027\u7406\u8bba\u2160\uff1a\u786e\u5b9a\u6027\u60c5\u5f62 35<\/span><\/section>\n
2.1 \u7cfb\u7edf\u7684\u5185\u90e8\u4e0e\u5916\u90e8\u7a33\u5b9a\u6027 35<\/span><\/section>\n
2.2 Lyapunov\u65b9\u7a0b\u4e0e\u7a33\u5b9a\u6027\u53cd\u4f8b 42<\/span><\/section>\n
2.3 \u975e\u8d1f\u5b9a\u7cfb\u7edf\u53ca\u63a8\u5e7f 46<\/span><\/section>\n
2.4 \u6162\u65f6\u53d8\u7cfb\u7edf 56<\/span><\/section>\n
2.5 \u5468\u671f\u7cfb\u7edf 59<\/span><\/section>\n
2.6 \u6270\u52a8\u7a33\u5b9a\u6027 60<\/span><\/section>\n
\u7b2c3\u7ae0 \u7a33\u5b9a\u6027\u7406\u8bba\u2161\uff1a\u968f\u673a\u60c5\u5f62 66<\/span><\/section>\n
3.1 \u5f15\u8a00 66<\/span><\/section>\n
3.2 Furstenberg-Kesten\u5b9a\u7406\u53ca\u6709\u5173\u7ed3\u679c 66<\/span><\/section>\n
3.3 \u968f\u673a\u5e73\u5747\u65b9\u6cd5 73<\/span><\/section>\n
3.4 \u4e00\u7ef4\u975e\u5e73\u7a33\u7cfb\u7edf 78<\/span><\/section>\n
3.5 \u9ad8\u7ef4\u95ee\u9898\u7684\u8f6c\u5316 88<\/span><\/section>\n
3.6 \u968f\u673a\u6270\u52a8\u4e0b\u7684\u7a33\u5b9a\u6027 101<\/span><\/section>\n
\u7b2c4\u7ae0 \u65f6\u53d8\u53c2\u6570\u4f30\u8ba1 114<\/span><\/section>\n
4.1 \u5f15\u8a00 114<\/span><\/section>\n
4.2 \u7b97\u6cd5\u7a33\u5b9a\u6027 116<\/span><\/section>\n
4.3 LMS\u7b97\u6cd5\u6027\u80fd\u5206\u6790 118<\/span><\/section>\n
4.4 \u9057\u5fd8\u56e0\u5b50\u7b97\u6cd5\u6027\u80fd\u5206\u6790 130<\/span><\/section>\n
\u7b2c5\u7ae0 \u81ea\u6821\u6b63\u8c03\u8282\u5668 145<\/span><\/section>\n
5.1 \u5f15\u8a00 145<\/span><\/section>\n
5.2 \u95ee\u9898\u7684\u63d0\u6cd5 146<\/span><\/section>\n
5.3 LS \u7b97\u6cd5\u5206\u6790 149<\/span><\/section>\n
5.4 Astrom-Wittenmark\u81ea\u6821\u6b63\u8c03\u8282\u5668\u2160\uff1a\u7a33\u5b9a\u6027\u4e0e\u6700\u4f18\u6027 155<\/span><\/section>\n
5.5 Astrom-Wittenmark\u81ea\u6821\u6b63\u8c03\u8282\u5668\u2161\uff1a\u5bf9\u6570\u5f8b\u4e0e\u6536\u655b\u901f\u5ea6 160<\/span><\/section>\n
5.6 \u57fa\u4e8eLS\u7684\u81ea\u6821\u6b63\u8c03\u8282\u5668 165<\/span><\/section>\n
5.7 LS \u578b\u81ea\u6821\u6b63\u8c03\u8282\u5668 171<\/span><\/section>\n
\u7b2c6\u7ae0 \u6162\u65f6\u53d8\u7cfb\u7edf\u7a33\u5065\u9002\u5e94\u63a7\u5236 179<\/span><\/section>\n
6.1 \u5f15\u8a00 179<\/span><\/section>\n
6.2 \u63a7\u5236\u5668\u8bbe\u8ba1 181<\/span><\/section>\n
6.3 \u7a33\u5065\u6027\u5206\u6790 184<\/span><\/section>\n
6.4 Markov\u8fc7\u7a0b\u904d\u5386\u7406\u8bba\u7684\u5e94\u7528 188<\/span><\/section>\n
\u7b2c7\u7ae0 Markov\u8df3\u53d8\u7cfb\u7edf\u9002\u5e94\u63a7\u5236 192<\/span><\/section>\n
7.1 \u5f15\u8a00 192<\/span><\/section>\n
7.2 \u4e3b\u8981\u7ed3\u679c 193<\/span><\/section>\n
7.3 \u4e00\u4e9b\u8f85\u52a9\u7ed3\u679c 196<\/span><\/section>\n
7.4 \u5b9a\u7406\u8bc1\u660e 204<\/span><\/section>\n
\u7b2c8\u7ae0 \u5207\u6362\u7ebf\u6027\u7cfb\u7edf\u7684\u53cd\u9988\u9547\u5b9a 212<\/span><\/section>\n
8.1 \u5f15\u8a00 212<\/span><\/section>\n
8.2 \u4e3b\u8981\u7ed3\u679c 212<\/span><\/section>\n
8.3 \u5207\u6362\u5f8b\u5df2\u77e5\u65f6\u7684\u7cfb\u7edf\u53ef\u9547\u5b9a\u6027 214<\/span><\/section>\n
8.4 \u5207\u6362\u5f8b\u672a\u77e5\u65f6\u7684\u7cfb\u7edf\u9547\u5b9a\u6027 218<\/span><\/section>\n
\u53c2\u8003\u6587\u732e 226<\/span><\/section>\n
\u7d22\u5f15 237<\/span><\/section>\n


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

\n
\n

\uff08\u53ef\u4e0a\u4e0b\u6ed1\u52a8<\/strong>\u67e5\u770b\uff09<\/p>\n<\/section>\n<\/section>\n


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

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


<\/h2>\n


<\/p>\n

\u300a\u63a7\u5236\u7406\u8bba\u5bfc\u8bba: \u4ece\u57fa\u672c\u6982\u5ff5\u5230\u7814\u7a76\u524d\u6cbf\u300b<\/strong><\/span><\/strong><\/strong><\/p>\n


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

<\/section>\n


<\/h3>\n

\u63a8\u8350\u8bed<\/span><\/strong><\/span><\/h3>\n
2005 \u5e74\u79d1\u5b66\u51fa\u7248\u793e\u51fa\u7248\u4e86\u300a\u63a7\u5236\u7406\u8bba\u5bfc\u8bba: \u4ece\u57fa\u672c\u6982\u5ff5\u5230\u7814\u7a76\u524d\u6cbf\u300b\u4e00\u4e66\uff0c\u90ed\u96f7\u4e3b\u7f16\uff0c\u7a0b\u4ee3\u5c55\u3001\u51af\u5fb7\u5174\u526f\u4e3b\u7f16\uff0c\u4e0e\u901a\u5e38\u5c40\u9650\u4e8e\u67d0\u4e00\u4e2a\u5206\u652f\u7684\u4e13\u8457\u4e0d\u540c, \u8be5\u4e66\u5bf9\u73b0\u4ee3\u63a7\u5236\u7406\u8bba\u51e0\u4e2a\u4e3b\u8981\u5206\u652f\u6240\u7528\u7684\u6570\u5b66\u5de5\u5177\u548c\u53d1\u5c55\u6982\u8c8c\u8fdb\u884c\u4e86\u7efc\u5408\u9610\u8ff0\uff0c\u5305\u62ec\u7ebf\u6027\u7cfb\u7edf\u7406\u8bba\u3001\u6700\u4f18\u63a7\u5236\u7406\u8bba\u3001H\u221e \u63a7\u5236\u3001\u975e\u7ebf\u6027\u63a7\u5236\u7cfb\u7edf\u3001\u81ea\u9002\u5e94\u7cfb\u7edf\u7406\u8bba\u3001\u5206\u5e03\u53c2\u6570\u7cfb\u7edf\u548c\u79bb\u6563\u4e8b\u4ef6\u52a8\u6001\u7cfb\u7edf\u7b49\u3002<\/span><\/section>\n


<\/h3>\n

\u5185\u5bb9\u7b80\u4ecb<\/span><\/strong><\/span><\/h3>\n

\u672c\u4e66\u529b\u56fe\u5bf9\u73b0\u4ee3\u63a7\u5236\u7406\u8bba\u51e0\u4e2a\u4e3b\u8981\u5206\u652f\u7684\u57fa\u672c\u6570\u5b66\u5de5\u5177\u548c\u91cd\u8981\u7406\u8bba\u7ed3\u679c\u7ed9\u4e88\u7efc\u5408\u4ecb\u7ecd\uff0c\u4f7f\u8bfb\u8005\u5bf9\u73b0\u4ee3\u63a7\u5236\u7406\u8bba\u53d1\u5c55\u7684\u6982\u8c8c\u6709\u4e00\u4e2a\u57fa\u672c\u4e86\u89e3\u3002\u5168\u4e66\u7684\u5185\u5bb9\u5206\u4e3a\u4e24\u90e8\u5206\uff1a\u7b2c\u4e00\u90e8\u5206\u7ed3\u5408\u63a7\u5236\u7406\u8bba\u8ba8\u8bba\u7ebf\u6027\u7cfb\u7edf\u3001\u8fd1\u4e16\u4ee3\u6570\u3001\u5fae\u5206\u51e0\u4f55\u3001\u968f\u673a\u8fc7\u7a0b\u3001\u6cdb\u51fd\u5206\u6790\u7b49\u5fc5\u8981\u7684\u6570\u5b66\u5de5\u5177\uff1b\u7b2c\u4e8c\u90e8\u5206\u4ecb\u7ecd\u6700\u4f18\u63a7\u5236\u3001H\u221e\u63a7\u5236\u3001\u975e\u7ebf\u6027\u63a7\u5236\u3001\u81ea\u9002\u5e94\u4f30\u8ba1\u4e0e\u63a7\u5236\u3001\u5206\u5e03\u53c2\u6570\u7cfb\u7edf\u63a7\u5236\u53ca\u79bb\u6563\u4e8b\u4ef6\u52a8\u6001\u7cfb\u7edf\u7406\u8bba\u7b49\u3002\u672c\u4e66\u5f3a\u8c03\u57fa\u7840\u6027\u3001\u6df1\u5165\u6027\u3001\u4e25\u8c28\u6027\u548c\u524d\u6cbf\u6027\uff0c\u5bf9\u4e3b\u8981\u7ed3\u679c\u5c3d\u53ef\u80fd\u4ece\u57fa\u672c\u6982\u5ff5\u51fa\u53d1\u4f5c\u8be6\u5c3d\u8bba\u8ff0\uff0c\u4f5c\u8005\u4e3a\u516b\u4f4d\u5728\u4e0d\u540c\u63a7\u5236\u9886\u57df\u5de5\u4f5c\u7684\u8d44\u6df1\u7814\u7a76\u5458\uff0c\u8bb8\u591a\u6210\u679c\u662f\u4f5c\u8005\u591a\u5e74\u7814\u7a76\u5de5\u4f5c\u7684\u79ef\u7d2f\u3002<\/span><\/p>\n

\u672c\u4e66\u53ef\u4f5c\u4e3a\u81ea\u52a8\u63a7\u5236\u3001\u4fe1\u606f\u79d1\u5b66\u3001\u7cfb\u7edf\u79d1\u5b66\u3001\u5e94\u7528\u6570\u5b66\u3001\u7ecf\u6d4e\u7ba1\u7406\u3001\u751f\u7269\u533b\u5b66\u7b49\u4e13\u4e1a\u7814\u7a76\u751f\u7684\u6559\u79d1\u4e66\uff0c\u4e5f\u53ef\u4f5c\u4e3a\u6709\u5173\u79d1\u7814\u4eba\u5458\u3001\u5de5\u7a0b\u5e08\u3001\u6559\u5e08\u7684\u7efc\u5408\u53c2\u8003\u4e66\u3002<\/span><\/section>\n

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

\u76ee\u5f55<\/strong><\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n

\n
\n
\n
\n

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

\u524d\u8a00<\/span><\/p>\n

\u6570\u5b66\u7b26\u53f7\u8868<\/span><\/p>\n

\u7b2c1\u7ae0 \u7ebf\u6027\u7cfb\u7edf\u6982\u8bba<\/span><\/p>\n

1.1 \u7ebf\u6027\u4ee3\u6570\u57fa\u7840<\/span><\/section>\n
1.2 \u5b9a\u5e38\u7ebf\u6027\u7cfb\u7edf\u7684\u6570\u5b66\u63cf\u8ff0<\/span><\/section>\n
1.3 \u7ebf\u6027\u7cfb\u7edf\u7684\u80fd\u63a7\u6027\u548c\u80fd\u89c2\u6d4b\u6027<\/span><\/section>\n
1.4 \u5b9a\u5e38\u7ebf\u6027\u7cfb\u7edf\u7684\u80fd\u63a7\u80fd\u89c2\u6807\u51c6\u5f62<\/span><\/section>\n
1.5 \u5b9a\u5e38\u7ebf\u6027\u7cfb\u7edf\u7684\u5b9e\u73b0<\/span><\/section>\n
1.6\u5b9a\u5e38\u7ebf\u6027\u7cfb\u7edf\u7684\u6781\u70b9\u914d\u7f6e<\/span><\/section>\n
1.7 \u5b9a\u5e38\u7ebf\u6027\u7cfb\u7edf\u7684\u72b6\u6001\u89c2\u6d4b\u5668\u8bbe\u8ba1<\/span><\/section>\n
1.8 \u5b9a\u5e38\u7ebf\u6027\u7cfb\u7edf\u7684\u8f93\u51fa\u8c03\u8282\u95ee\u9898<\/span><\/section>\n
1.9 \u5b9a\u5e38\u7ebf\u6027\u7cfb\u7edf\u7684\u89e3\u8026\u63a7\u5236<\/span><\/section>\n
\u53c2\u8003\u6587\u732e<\/span><\/section>\n
\u7b2c2\u7ae0 \u5e38\u5fae\u5206\u65b9\u7a0b<\/span><\/section>\n
2.1 \u5fae\u5206\u65b9\u7a0b\u95ee\u9898\u7684\u63d0\u51fa<\/span><\/section>\n
2.2 \u5fae\u5206\u65b9\u7a0b\u89e3\u7684\u5b58\u5728\u548c\u552f\u4e00\u6027<\/span><\/section>\n
2.3 \u7ebf\u6027\u5fae\u5206\u65b9\u7a0b<\/span><\/section>\n
2.4 \u7a33\u5b9a\u6027<\/span><\/section>\n
2.5 \u4e8c\u9636\u5fae\u5206\u65b9\u7a0b\u89e3\u7684\u6027\u6001<\/span><\/section>\n
\u53c2\u8003\u6587\u732e<\/span><\/section>\n
\u7b2c3\u7ae0 \u4ee3\u6570\u4e0e\u5fae\u5206\u51e0\u4f55\u57fa\u7840<\/span><\/section>\n
3.1 \u7fa4<\/span><\/section>\n
3.2 \u73af\u4e0e\u4ee3\u6570<\/span><\/section>\n
3.3 \u62d3\u6251\u7a7a\u95f4<\/span><\/section>\n
3.4 \u540c\u4f26\u7406\u8bba<\/span><\/section>\n
3.5 \u5fae\u5206\u6d41\u5f62<\/span><\/section>\n
3.6 \u5411\u91cf\u573a<\/span><\/section>\n
3.7 Lie\u5bfc\u6570<\/span><\/section>\n
3.8 \u5206\u5e03\u53ca\u5176\u79ef\u5206<\/span><\/section>\n
3.9 Lie\u7fa4<\/span><\/section>\n
3.10 \u5f20\u91cf\u573a<\/span><\/section>\n
3.11 Riemann\u51e0\u4f55<\/span><\/section>\n
3.12 \u8f9b\u51e0\u4f55<\/span><\/section>\n
\u53c2\u8003\u6587\u732e<\/span><\/section>\n
\u7b2c4\u7ae0 \u6982\u7387\u8bba\u53ca\u968f\u673a\u63a7\u5236\u521d\u6b65<\/span><\/section>\n
4.1 \u6982\u7387\u8bba\u7684\u4e00\u822c\u6982\u5ff5<\/span><\/section>\n
4.2 \u4ece\u72ec\u7acb\u6027\u5230\u9785\u5dee\u5217<\/span><\/section>\n
4.3 \u968f\u673a\u8fc7\u7a0b\u521d\u6b65<\/span><\/section>\n
4.4 \u968f\u673a\u63a7\u5236\u521d\u6b65<\/span><\/section>\n
\u53c2\u8003\u6587\u732e<\/span><\/section>\n
\u7b2c5\u7ae0 \u6cdb\u51fd\u5206\u6790\u4e0e\u504f\u5fae\u5206\u65b9\u7a0b<\/span><\/section>\n
5.1 Banach\u7a7a\u95f4\u548cHilbert\u7a7a\u95f4<\/span><\/section>\n
5.2 \u7ebf\u6027\u7b97\u5b50\u8c31\u7406\u8bba<\/span><\/section>\n
5.3 \u7ebf\u6027\u7b97\u5b50\u534a\u7fa4<\/span><\/section>\n
5.4 Sobolev\u7a7a\u95f4\u548c\u8fb9\u503c\u95ee\u9898<\/span><\/section>\n
\u53c2\u8003\u6587\u732e<\/span><\/section>\n
\u7b2c6\u7ae0 H\u221e\u63a7\u5236<\/span><\/section>\n
6.1 H\u221e\u63a7\u5236\u57fa\u672c\u8bbe\u8ba1\u95ee\u9898<\/span><\/section>\n
6.2 H\u221e\u8303\u6570\u7684\u7b49\u4ef7\u6761\u4ef6<\/span><\/section>\n
6.3 \u9759\u6001\u72b6\u6001\u53cd\u9988\u95ee\u9898<\/span><\/section>\n
6.4 \u52a8\u6001\u72b6\u6001\u53cd\u9988\u95ee\u9898\uff1a\u9891\u57df\u89e3\u6cd5<\/span><\/section>\n
6.5 \u52a8\u6001\u72b6\u6001\u53cd\u9988\u95ee\u9898\uff1a\u65f6\u57df\u89e3\u6cd5<\/span><\/section>\n
6.6 H\u221e\u8f93\u5165\u53cd\u9988\u63a7\u5236\u95ee\u9898<\/span><\/section>\n
6.7 \u975e\u7ebf\u6027H\u221e\u63a7\u5236\u57fa\u7840<\/span><\/section>\n
6.8 \u975e\u7ebf\u6027H\u221e\u63a7\u5236\u8bbe\u8ba1\u65b9\u6cd5<\/span><\/section>\n
6.9 H\u221e\u63a7\u5236\u5668\u7684\u76f4\u63a5\u8bbe\u8ba1\u65b9\u6cd5<\/span><\/section>\n
\u53c2\u8003\u6587\u732e<\/span><\/section>\n
\u7b2c7\u7ae0 \u6700\u4f18\u63a7\u5236\u7406\u8bba<\/span><\/section>\n
7.1 \u6700\u4f18\u63a7\u5236\u7684\u5fc5\u8981\u6761\u4ef6<\/span><\/section>\n
7.2 \u8fc7\u6e21\u65f6\u95f4\u6700\u5c0f\u63a7\u5236<\/span><\/section>\n
7.3 \u7ebf\u6027\u4e8c\u6b21\u6700\u4f18\u63a7\u5236<\/span><\/section>\n
7.4 \u5b9a\u91cf\u5fae\u5206\u5bf9\u7b56\u521d\u6b65<\/span><\/section>\n
7.5 \u6700\u4f18\u63a7\u5236\u89c2\u70b9\u4e0b\u7684H\u221e\u63a7\u5236\u521d\u6b65<\/span><\/section>\n
\u53c2\u8003\u6587\u732e<\/span><\/section>\n
\u7b2c8\u7ae0 \u975e\u7ebf\u6027\u63a7\u5236\u7cfb\u7edf<\/span><\/section>\n
8.1 \u80fd\u63a7\u6027<\/span><\/section>\n
8.2 \u80fd\u89c2\u6d4b\u6027<\/span><\/section>\n
8.3 \u7ebf\u6027\u5316<\/span><\/section>\n
8.4 \u89e3\u8026<\/span><\/section>\n
8.5 \u8f93\u5165\u8f93\u51fa\u7ed3\u6784\u89e3\u8026<\/span><\/section>\n
8.6 \u975e\u7ebf\u6027\u7cfb\u7edf\u7684\u9547\u5b9a<\/span><\/section>\n
\u53c2\u8003\u6587\u732e<\/span><\/section>\n
\u7b2c9\u7ae0 \u81ea\u9002\u5e94\u7cfb\u7edf\u7406\u8bba<\/span><\/section>\n
9.1 \u4ec0\u4e48\u662f\u81ea\u9002\u5e94\u7cfb\u7edf<\/span><\/section>\n
9.2 \u81ea\u9002\u5e94\u4f30\u8ba1\uff08I\uff09\uff1a\u5b9a\u5e38\u53c2\u6570\u7cfb\u7edf<\/span><\/section>\n
9.3 \u65f6\u53d8\u968f\u673a\u7cfb\u7edf\u7a33\u5b9a\u6027<\/span><\/section>\n
9.4 \u81ea\u9002\u5e94\u4f30\u8ba1\uff08II\uff09\uff1a\u65f6\u53d8\u7cfb\u7edf<\/span><\/section>\n
9.5 \u6700\u5c0f\u4e8c\u4e58\u81ea\u6821\u6b63\u8c03\u8282\u5668<\/span><\/section>\n
9.6 \u975e\u6700\u5c0f\u76f8\u4f4d\u7cfb\u7edf\u7684\u81ea\u9002\u5e94\u63a7\u5236<\/span><\/section>\n
\u53c2\u8003\u6587\u732e<\/span><\/section>\n
\u7b2c10\u7ae0 \u5206\u5e03\u53c2\u6570\u7cfb\u7edf\u63a7\u5236<\/span><\/section>\n
10.1 \u65e0\u7a77\u7ef4\u7ebf\u6027\u7cfb\u7edf\u7684\u7a33\u5b9a\u6027<\/span><\/section>\n
10.2 \u65e0\u7a77\u7ef4\u7ebf\u6027\u7cfb\u7edf\u7684\u80fd\u63a7\u6027\u4e0e\u80fd\u89c2\u6d4b\u6027<\/span><\/section>\n
10.3 \u5206\u5e03\u53c2\u6570\u7cfb\u7edf\u7684\u53cd\u9988\u9547\u5b9a<\/span><\/section>\n
10.4 \u4e8c\u9636\u7cfb\u7edf\u7684\u6307\u6570\u9547\u5b9a\u548c\u4e00\u4e9b\u5177\u4f53\u65b9\u6cd5<\/span><\/section>\n
10.5 \u6ce2\u65b9\u7a0b\u63a7\u5236<\/span><\/section>\n
10.6 \u8c03\u8282\u95ee\u9898<\/span><\/section>\n
\u7b2c11\u7ae0 \u79bb\u6563\u4e8b\u4ef6\u52a8\u6001\u7cfb\u7edf<\/span><\/section>\n
11.1 \u7814\u7a76\u79bb\u6563\u4e8b\u4ef6\u52a8\u6001\u7cfb\u7edf\u7684\u5404\u79cd\u65b9\u6cd5<\/span><\/section>\n
11.2 \u6570\u5b66\u51c6\u5907<\/span><\/section>\n
11.3 \u7528\u6781\u5927\u4ee3\u6570\u65b9\u6cd5\u5efa\u6a21<\/span><\/section>\n
11.4 \u7cfb\u7edf\u5206\u6790<\/span><\/section>\n
11.5 \u80fd\u8fbe\u6027\u548c\u80fd\u89c2\u6d4b\u6027<\/span><\/section>\n
11.6 \u5468\u671f\uff08\u201c\u6781\u70b9\u201d\uff09\u914d\u7f6e<\/span><\/section>\n
11.7 \u7a33\u5b9a\u6027\u4e0e\u5176\u4ed6<\/span><\/section>\n
11.8 \u4e00\u7c7b\u6700\u4f18\u63a7\u5236\u4e0e\u8c03\u5ea6\u95ee\u9898<\/span><\/section>\n
11.9 \u53cc\u5b50\u4ee3\u6570\u65b9\u6cd5<\/span><\/section>\n
11.10 \u975e\u7ebf\u6027\u7cfb\u7edf\u7684\u6781\u5927\u6781\u5c0f\u51fd\u6570\u65b9\u6cd5<\/span><\/section>\n
\u53c2\u8003\u6587\u732e<\/span><\/section>\n
\u7d22\u5f15<\/span><\/section>\n


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

\n
\n

\uff08\u53ef\u4e0a\u4e0b\u6ed1\u52a8<\/strong>\u67e5\u770b\uff09<\/p>\n<\/section>\n<\/section>\n


<\/span><\/h2>\n


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

\n
\n
\n
\n

\u63a7\u5236\u79d1\u5b66\u524d\u6cbf\u7406\u8bba\u4e0e\u65b9\u6cd5\u7cfb\u5217\u8bfe\u7a0b<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


<\/section>\n
\u5bf9\u590d\u6742\u52a8\u6001\u7cfb\u7edf\u7684\u5b9a\u91cf\u8ba4\u8bc6\u4e0e\u79d1\u5b66\u8c03\u63a7\uff0c\u7cfb\u7edf\u5b66\u4e0e\u63a7\u5236\u8bba\u662f\u5173\u952e\u57fa\u7840\u3002\u96c6\u667a\u5b66\u56ed\u8054\u5408\u4e2d\u79d1\u9662\u6570\u5b66\u4e0e\u7cfb\u7edf\u79d1\u5b66\u7814\u7a76\u9662\u591a\u4f4d\u63a7\u5236\u79d1\u5b66\u4e0e\u5de5\u7a0b\u9886\u57df\u4e13\u5bb6\u5171\u540c\u5f00\u8bbe\u4e86\u300a\u63a7\u5236\u79d1\u5b66\u524d\u6cbf\u7406\u8bba\u4e0e\u65b9\u6cd5\u300b\u7cfb\u5217\u8bfe\u7a0b\uff0c\u4e3a\u9762\u5411\u63a7\u5236\u4e13\u4e1a\u9886\u57df\u5b66\u751f\u4ee5\u53ca\u8de8\u9886\u57df\u7684\u5b66\u4e60\u8005\u505a\u6df1\u5ea6\u79d1\u666e\uff0c\u5e2e\u52a9\u5b66\u4e60\u63a7\u5236\u8bba\u7684\u6838\u5fc3\u601d\u60f3\u3001\u6846\u67b6\u4e0e\u65b9\u6cd5\u3002\u901a\u8fc7\u5b66\u4e60\u8fd9\u4e9b\u8bfe\u7a0b\uff0c\u5b66\u751f\u5c06\u4e86\u89e3\u63a7\u5236\u8bba\u7684\u53d1\u5c55\u5386\u7a0b\uff0c\u638c\u63e1\u7ecf\u5178\u548c\u73b0\u4ee3\u63a7\u5236\u65b9\u6cd5\uff0c\u63a2\u7d22\u63a7\u5236\u7cfb\u7edf\u7684\u7f8e\u5999\u4e4b\u5904\u3002\u6b64\u7cfb\u5217\u8bfe\u7a0b\u5171\u8ba110\u8282\uff0c\u4ece2024\u5e744\u67082\u65e5\u8d77\uff0c\u6bcf\u5468\u4e8c\u665a19:00-21:00\u7ebf\u4e0a\u4e0a\u8bfe\u3002\u6b22\u8fce\u611f\u5174\u8da3\u7684\u670b\u53cb\u62a5\u540d\u53c2\u4e0e\uff01<\/span><\/section>\n

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

<\/section>\n

\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/span><\/h2>\n
    \n
  1. \n

    2024\u5f00\u5e74\u91cd\u78c5\u8bfe\u7a0b\uff1a\u63a7\u5236\u79d1\u5b66\u524d\u6cbf\u7406\u8bba\u4e0e\u65b9\u6cd5<\/span><\/a><\/p>\n<\/li>\n

  2. \n

    \u90ed\u96f7\uff1a\u4ee5\u53cd\u9988\u63a7\u5236\u201c\u5bf9\u4ed8\u201d\u667a\u80fd\u65f6\u4ee3\u4e0d\u786e\u5b9a\u6027<\/span><\/a><\/p>\n<\/li>\n

  3. \n

    \u90ed\u96f7\uff1a\u63a7\u5236\u7406\u8bba\u53d1\u5c55\u7684\u5386\u53f2\u542f\u793a<\/span><\/a><\/p>\n<\/li>\n

  4. \n

    \u7ef4\u7eb3\uff0c\u6614\u65e5\u795e\u7ae5\u548c\u6570\u5b66\u5bb6\u4e28\u9648\u5173\u8363<\/span><\/a><\/p>\n<\/li>\n

  5. \n

    \u82d7\u4e1c\u5347\uff1a\u94b1\u5b66\u68ee\u590d\u6742\u6027\u7814\u7a76\u8ff0\u8bc4<\/span><\/a><\/p>\n<\/li>\n

  6. \n

    \u53cd\u9988\uff1a\u590d\u6742\u7cfb\u7edf\u7684\u81ea\u6211\u8c03\u8282\u673a\u5236 | \u96c6\u667a\u767e\u79d1<\/span><\/a><\/p>\n<\/li>\n

  7. \n

    \u300a\u7cfb\u7edf\u79d1\u5b66\u8fdb\u5c55\uff08\u7b2c3 \u5377\uff09\u300b\u51fa\u7248<\/span><\/a><\/p>\n<\/li>\n

  8. \n

    \u91cd\u8bbf\u63a7\u5236\u8bba\u827a\u672f | \u590d\u6742\u79d1\u5b66\u00d7\u827a\u672f\u7cfb\u5217\u7814\u8ba8\u4f1a<\/span><\/a><\/p>\n<\/li>\n

  9. \n

    \u7efc\u8ff0\u89e3\u8bfb\uff1a\u7ecf\u6d4e\u590d\u6742\u6027\u7406\u8bba\u53ca\u5e94\u7528<\/span><\/a><\/p>\n<\/li>\n

  10. \n
    \u751f\u7269\u9ea6\u514b\u65af\u97e6\u5996\uff1a\u751f\u547d\u5982\u4f55\u5229\u7528\u4fe1\u606f\u4ea7\u751f\u79e9\u5e8f<\/span><\/span><\/a><\/section>\n<\/li>\n<\/ol>\n

    <\/section>\n

    <\/section>\n

    \u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u8bfb\u4e66\u4f1a<\/span><\/strong><\/p>\n

    <\/mp-style-type><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

    \u5b66\u8005\u7b80\u4ecb \u90ed\u96f7\uff0c\u4e2d\u56fd\u79d1\u5b66\u9662\u9662\u58eb\u3001\u73b0\u4efb\u4e2d\u79d1\u9662\u6570\u5b66\u4e0e\u7cfb\u7edf\u79d1\u5b66\u7814\u7a76\u9662\u7279\u8058\u7814\u7a76\u5458\u3001\u4e2d\u79d1\u9662\u56fd\u5bb6\u6570\u5b66\u4e0e\u4ea4\u53c9\u79d1\u5b66\u4e2d\u5fc3\u4e3b\u4efb\u3001\u4e2d\u79d1\u9662\u4fe1\u606f\u6280\u672f\u5b66\u90e8\u4e3b\u4efb\u3001\u4e9a\u6d32\u63a7\u5236\u534f\u4f1a\u4e3b\u5e2d\u7b49\u3002\u66fe\u4efb\u4e2d\u79d1\u9662\u6570\u5b66\u4e0e\u7cfb\u7edf\u79d1\u5b66\u7814\u7a76\u9662\u9662\u957f\u3001\u4e2d\u56fd\u5de5\u4e1a\u4e0e\u5e94\u7528\u6570\u5b66\u5b66\u4f1a\u7406\u4e8b\u957f\u3001\u56fd\u9645\u5de5\u4e1a\u4e0e\u5e94\u7528\u6570\u5b66\u4e16\u754c\u5927\u4f1a\u4e3b\u5e2d\u3001\u4e2d\u56fd\u5927\u767e\u79d1\u5168\u4e66\uff08\u4e09\u7248\uff09\u7cfb\u7edf\u79d1\u5b66\u5377\u4e3b\u7f16\u7b49\u3002\u4ed6\u662f\u4e2d\u56fd\u79d1…<\/p>\n","protected":false},"author":0,"featured_media":48948,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"special":[],"_links":{"self":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/48954"}],"collection":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=48954"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/48954\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/48948"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=48954"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=48954"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=48954"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=48954"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}