{"id":33718,"date":"2022-04-09T21:26:07","date_gmt":"2022-04-09T13:26:07","guid":{"rendered":"https:\/\/swarma.org\/?p=33718"},"modified":"2022-04-09T21:26:07","modified_gmt":"2022-04-09T13:26:07","slug":"%e4%bb%8e%e9%9d%9e%e5%ae%8c%e6%95%b4%e5%92%8c%e5%90%ab%e5%99%aa%e5%a3%b0%e7%9a%84%e6%95%b0%e6%8d%ae%e4%b8%ad%e6%8e%a8%e7%90%86%e5%a4%8d%e6%9d%82%e7%bd%91%e7%bb%9c%e5%8a%a8%e5%8a%9b%e5%ad%a6","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=33718","title":{"rendered":"\u4ece\u975e\u5b8c\u6574\u548c\u542b\u566a\u58f0\u7684\u6570\u636e\u4e2d\u63a8\u7406\u590d\u6742\u7f51\u7edc\u52a8\u529b\u5b66"},"content":{"rendered":"
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3\u670824\u65e5\uff0c\u300a\u81ea\u7136-\u8ba1\u7b97\u79d1\u5b66\u300b\uff08Nature Computational Science) \u53d1\u8868\u4e86\u540c\u6d4e\u5927\u5b66\u7269\u7406\u79d1\u5b66\u4e0e\u5de5\u7a0b\u5b66\u9662\u3001\u4e0a\u6d77\u81ea\u4e3b\u667a\u80fd\u65e0\u4eba\u7cfb\u7edf\u79d1\u5b66\u4e2d\u5fc3\u4e25\u94a2\u6559\u6388\u56e2\u961f\u7814\u7a76\u63d0\u51fa\u7684\u201c\u6570\u636e\u9a71\u52a8\u7684\u590d\u6742\u7f51\u7edc\u52a8\u529b\u5b66\u81ea\u4e3b\u63a8\u7406\u65b0\u65b9\u6cd5\u6846\u67b6\u201d\uff0c\u8be5\u65b9\u6cd5\u5b9e\u73b0\u4e86\u7ed3\u6784\u4fe1\u606f\u4e0d\u5b8c\u6574\u548c\u5f3a\u566a\u58f0\u573a\u666f\u4e0b\u7684\u9c81\u68d2\u63a8\u7406\uff0c\u4e3a\u771f\u5b9e\u590d\u6742\u7cfb\u7edf\u5e95\u5c42\u539f\u7406\u7684\u81ea\u4e3b\u53d1\u73b0\u63d0\u4f9b\u4e86\u91cd\u8981\u57fa\u7840\u548c\u7b97\u6cd5\u652f\u6491\u3002\u8bba\u6587\u7b2c\u4e00\u4f5c\u8005\u9ad8\u5a77\u5a77\u64b0\u6587\u5bf9\u8fd9\u9879\u5de5\u4f5c\u8fdb\u884c\u4e86\u6df1\u5ea6\u89e3\u8bfb\u3002\u540c\u65f6\u5c06\u4e8e4\u670816\u65e5\uff08\u5468\u516d\uff09\u8fdb\u884c\u7ebf\u4e0a\u76f4\u64ad\u89e3\u8bfb\uff0c\u6b22\u8fce\u626b\u63cf\u6587\u4e2d\u4e8c\u7ef4\u7801\u9884\u7ea6\u76f4\u64ad\u3002<\/strong><\/p>\n


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\u56fe2. \u5bf9\u5e94\u81ea\u8eab\u52a8\u529b\u5b66F\u548c\u8026\u5408\u52a8\u529b\u5b66G\u7684\u5143\u7d20\u51fd\u6570\u5e93LF<\/sub>\u548cLG<\/sub>\uff08\u5de6\uff09\u4ee5\u53ca\u90e8\u5206\u6570\u636e\u6620\u5c04\u5f97\u5230\u7684\u65f6\u53d8\u51fd\u6570\u5411\u91cf\u7684\u6570\u91cf\u7ea7\uff08\u53f3\uff09\u3002<\/span><\/p>\n


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\u6211\u4eec\u63d0\u51fa\u4e24\u6b65\u63a8\u7406\u6846\u67b6\uff0c\u7ed3\u5408\u5168\u5c40\u7c97\u7c92\u56de\u5f52\u548c\u7cbe\u7ec6\u7b5b\u9009\uff0c\u4ee5\u514b\u670d\u7531\u4e8e\u5e9e\u5927\u3001\u590d\u6742\u7684\u5143\u7d20\u51fd\u6570\u7a7a\u95f4\u5e26\u6765\u7684\u6311\u6218\u3002<\/strong>\u5177\u4f53\u6765\u8bf4\uff0c\u901a\u8fc7\u7b2c\u4e00\u6b65\u5168\u5c40\u7c97\u7c92\u56de\u5f52<\/span>\uff08Phase I\uff09<\/span>\uff0c\u5bf9\u51fd\u6570\u77e9\u9635\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u907f\u514d\u7531\u4e8e\u51fd\u6570\u95f4\u6570\u91cf\u7ea7\u5dee\u5bfc\u81f4\u7684\u8bef\u5224\uff1b\u4ece\u5197\u4f59\u7684\u51fd\u6570\u5e93\u4e2d\u53d1\u73b0\u4e0e\u7cfb\u7edf\u52a8\u529b\u5b66\u6700\u76f8\u5173\u7684\u591a\u4e2a\u51fd\u6570\uff0c\u7ec4\u6210\u5b50\u51fd\u6570\u7a7a\u95f4\u3002\u7136\u800c\u8fd9\u4e9b\u51fd\u6570\u7ec4\u6210\u7684\u5e38\u5fae\u5206\u65b9\u7a0b\u4e0d\u5177\u5907\u751f\u6210\u80fd\u529b\uff0c\u6545\u5728\u7b2c\u4e8c\u6b65\u8fdb\u884c\u7cbe\u7ec6\u7b5b\u9009<\/span>\uff08Phase II\uff09<\/span>\uff0c\u901a\u8fc7\u62d3\u6251\u91c7\u6837\uff0c\u5229\u7528\u4fe1\u606f\u4e0d\u4e00\u81f4\u6027\u4f5c\u4e3a\u63a8\u65ad\u6307\u6807\uff0c\u4ee5\u5f97\u5230\u66f4\u7b80\u6d01\u7684\u6700\u4f18\u52a8\u529b\u5b66\u5f62\u5f0f\uff0c\u4e14\u8be5\u52a8\u529b\u5b66\u5f62\u5f0f\u5177\u6709\u751f\u6210\u80fd\u529b\u3002<\/span><\/p>\n


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\u56fe3. \u590d\u6742\u7f51\u7edc\u7cfb\u7edf\u81ea\u4e3b\u63a8\u7406\u7b97\u6cd5\u6982\u8ff0\u3002\u5c06\u89c2\u6d4b\u7684\u7f51\u7edc\u7ed3\u6784\u548c\u8282\u70b9\u6d3b\u52a8\u6570\u636e\uff08a\uff09\u6620\u5c04\u4e3a\u65f6\u53d8\u57fa\u672c\u51fd\u6570\u77e9\u9635\uff08b\uff09\uff0c\u901a\u8fc7\u5168\u5c40\u89c6\u89d2\u7684\u56de\u5f52\u8bc6\u522b\u6700\u76f8\u5173\u7684\u57fa\u672c\u51fd\u6570\u5e76\u7ec4\u6210\u6a21\u578b\u5b50\u7a7a\u95f4\uff08c\uff09\uff0c\u7136\u540e\u901a\u8fc7\u5c40\u90e8\u89c6\u89d2\u7684\u62d3\u6251\u91c7\u6837\u548c\u4fe1\u606f\u8bba\u5224\u636e\u63a8\u65ad\u6700\u4f18\u51fd\u6570\u7ec4\u5408\u53ca\u7cfb\u6570\uff08e\uff09\uff0c\u6700\u7ec8\u5f97\u5230\u5f62\u5f0f\u7b80\u6d01\u4e14\u5177\u6709\u751f\u6210\u80fd\u529b\u7684\u7cfb\u7edf\u52a8\u6001\u65b9\u7a0b\uff08f\uff09\u3002<\/span><\/p>\n


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\u4e3a\u9a8c\u8bc1\u4e24\u6b65\u63a8\u7406\u6846\u67b6\u76845\u4e2a\u6838\u5fc3\u64cd\u4f5c\uff0c\u5373\u62d3\u6251\u91c7\u6837\u3001\u4fee\u6b63\u7684\u8d64\u6c60\u4fe1\u606f\u51c6\u5219<\/span>\uff08wAIC\uff09<\/span>\u3001\u5168\u5c40\u56de\u5f52<\/span>\uff08Phase I\uff09<\/span>\u3001\u7cbe\u7ec6\u7b5b\u9009<\/span>\uff08Phase II\uff09<\/span>\u548c\u5f52\u4e00\u5316\u64cd\u4f5c\u7f3a\u4e00\u4e0d\u53ef\uff0c\u6211\u4eec\u8fdb\u884c\u4e86\u6d88\u878d\u5b9e\u9a8c\uff1a\u57fa\u4e8e\u6709\u7f3a\u5931\u8fb9\u548c\u89c2\u6d4b\u566a\u58f0\u7684\u6a21\u62df\u6570\u636e\uff0c\u5728\u5b8c\u6574\u63a8\u7406\u6846\u67b6\u4e2d\u5206\u522b\u53bb\u96645\u4e2a\u6838\u5fc3\u64cd\u4f5c\uff0c\u5176\u4ed6\u64cd\u4f5c\u4fdd\u7559\u8fdb\u884c\u63a8\u7406\u3002\u7ed3\u679c\u8868\u660e\uff0c\u53ea\u6709\u5728\u5b8c\u6574\u7684\u63a8\u7406\u6846\u67b6\u4e0b\u624d\u53ef\u5f97\u5230\u9ad8\u7cbe\u5ea6\u7684\u52a8\u529b\u5b66\u5f62\u5f0f\uff0c5\u4e2a\u6838\u5fc3\u64cd\u4f5c\u662f\u5e94\u5bf9\u9ad8\u4e0d\u786e\u5b9a\u6027\u590d\u6742\u7f51\u7edc\u7cfb\u7edf\u7684\u91cd\u8981\u624b\u6bb5\u3002<\/span><\/p>\n


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\u56fe4.\u62d3\u6251\u91c7\u6837\u3001\u4fee\u6b63\u7684\u8d64\u6c60\u4fe1\u606f\u51c6\u5219\uff08AIC\uff09\u3001\u5168\u5c40\u56de\u5f52\uff08Phase I\uff09\u3001\u7cbe\u7ec6\u7b5b\u9009\uff08Phase II\uff09\u548c\u5f52\u4e00\u5316\u64cd\u4f5c\u64cd\u4f5c\u7684\u6d88\u878d\u5b9e\u9a8c\uff0c\u9a8c\u8bc1\u4e86\u5176\u5fc5\u8981\u6027\u3002<\/span><\/p>\n


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\u4e09\u3001\u53ef\u63a8\u65ad\u6027\u53ca\u9c81\u68d2\u6027\u9a8c\u8bc1<\/strong><\/strong><\/p>\n<\/section>\n

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\u4e3a\u9a8c\u8bc1\u8be5\u7b97\u6cd5\u6846\u67b6\u7684\u666e\u9002\u6027\uff0c\u6211\u4eec\u57fa\u4e8e\u5305\u62ec\u8282\u70b9\u52a8\u529b\u5b66\u5982\u795e\u7ecf\u5143\u52a8\u529b\u5b66\u3001\u57fa\u56e0\u8c03\u63a7\u52a8\u529b\u5b66\u3001\u8026\u5408\u632f\u5b50\u548c\u8fb9\u52a8\u529b\u5b66\u5728\u5185\u76845\u4e2a\u52a8\u529b\u5b66\uff0c\u5728\u4eba\u9020\u548c\u771f\u5b9e\u7f51\u7edc\u7ed3\u6784\u4e0a\u7684\u6a21\u62df\u6570\u636e\u8fdb\u884c\u81ea\u4e3b\u63a8\u7406\u3002\u540c\u65f6\u8003\u8651\u4e86\u590d\u6742\u7cfb\u7edf\u6570\u636e\u5b58\u5728\u7684\u5982\u5047\u6027\u8fb9\u3001\u7f3a\u5931\u8fb9\u3001\u566a\u58f0\u7b49\u591a\u79cd\u4e0d\u786e\u5b9a\u6027\uff0c\u9a8c\u8bc1\u4e86\u8be5\u7b97\u6cd5\u6846\u67b6\u7684\u9c81\u68d2\u6027\u3002\u4e0e\u4ee5\u5f80\u9488\u5bf9\u5355\u4e2a\u4f53\u6216\u5c11\u91cf\u4e2a\u4f53\u7684\u667a\u80fd\u63a8\u7406\u65b9\u6cd5\uff0c\u5982\u7531Brunton\u7b49\u4eba\u63d0\u51fa\u7684Sparse Identification of Nonlinear Dynamics (SINDy)[4], Casadiego\u7b49\u4eba\u63d0\u51fa\u7684Algorithm for Revealing Network Interactions (ARNI)[6]\u76f8\u6bd4\uff0c\u4e24\u6b65\u63a8\u7406\u6cd5\u80fd\u5728\u66f4\u590d\u6742\u3001\u975e\u6b63\u4ea4\u9879\u7a7a\u95f4\u4e2d\u8fdb\u884c\u641c\u7d22<\/strong>\uff0c\u800c\u4e14\u5728\u9488\u5bf9\u6570\u636e\u4e0d\u786e\u5b9a\u6027\u76845\u4e2a\u6a21\u578b\u7cfb\u7edf\u6d4b\u8bd5\u4e2d\u5747\u8868\u73b0\u66f4\u4f18\u3002<\/span><\/p>\n


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\u56fe5. \u9488\u5bf9\u6570\u636e\u4e0d\u786e\u5b9a\u6027\u7684\u9c81\u68d2\u6027\u6d4b\u8bd5\uff08a-e\uff09\uff0c\u4ee5\u53ca\u4e0eSINDy\u548cARNI\u4e24\u79cd\u65b9\u6cd5\u7684\u5bf9\u6bd4\uff08f-j\uff09\u3002<\/span><\/p>\n


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\u590d\u6742\u7cfb\u7edf\u52a8\u529b\u5b66\u7684\u63a2\u7d22\u8fd8\u6709\u8bf8\u591a\u65b9\u5411\u3002\u6bd4\u5982\uff0c\u5bf9\u4e8e\u8111\u7f51\u7edc\u6765\u8bf4\uff0c\u5047\u8bbe\u52a8\u529b\u5b66\u673a\u5236\u662f\u786e\u5b9a\u6027\u5e38\u5fae\u5206\u65b9\u7a0b\u5e76\u4e0d\u51c6\u786e\u3002\u4e8b\u5b9e\u4e0a\uff0c\u6709\u7814\u7a76\u8868\u660e\u5927\u8111\u529f\u80fd\u53ef\u80fd\u662f\u7531\u968f\u673a\u52a8\u529b\u5b66\u673a\u5236\u9a71\u52a8\u7684[8]\uff0c\u9488\u5bf9\u968f\u673a\u6027\u66f4\u5f3a\u7684\u7cfb\u7edf\uff0c\u5e94\u8be5\u5229\u7528\u968f\u673a\u5fae\u5206\u65b9\u7a0b<\/span>\uff08Langevin dynamics\uff09<\/span>\u63cf\u8ff0\u5176\u52a8\u529b\u5b66\u673a\u5236\uff1b\u8bf8\u591a\u89c2\u6d4b\u6570\u636e\u5e76\u975e\u8fde\u7eed\u7684\uff0c\u800c\u662f\u79bb\u6563\u7684\u751a\u81f3\u662f\u5e03\u5c14\u578b\u7684\uff0c\u5982\u5927\u8111\u51b3\u7b56\u8fc7\u7a0b\uff0c\u5982\u4f55\u4ece\u79bb\u6563\u6570\u636e\u4e2d\u63a8\u7406\u52a8\u529b\u5b66\u673a\u5236\u4e5f\u503c\u5f97\u7814\u7a76[9]\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u7cfb\u7edf\u7684\u62d3\u6251\u7ed3\u6784\u4e5f\u8bb8\u5e76\u975e\u9759\u6001\u6216\u4f4e\u7ef4\u7684\uff0c\u5982\u679c\u8003\u8651\u65f6\u5e8f\u7f51\u7edc\u548c\u9ad8\u9636\u7f51\u7edc[10]\uff0c\u5bf9\u590d\u6742\u7f51\u7edc\u52a8\u529b\u5b66\u7684\u7814\u7a76\u5c06\u66f4\u597d\u6355\u6349\u7ed3\u6784\u548c\u8282\u70b9\u6d3b\u52a8\u3001\u529f\u80fd\u95f4\u7684\u5173\u7cfb\u3002<\/span><\/p>\n


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\u53c2\u8003\u6587\u732e\uff1a<\/span><\/strong><\/span><\/p>\n

[1] Schmidt, M. & Lipson, H. Distilling free-form natural laws from experimental data. Science 324, 81\u201385 (2009)<\/span><\/p>\n

[2] Udrescu, S.-M. & Tegmark, M. AI Feynman: a physics-inspired method for symbolic regression. Sci. Adv. 6, eaay2631 (2020).<\/span><\/p>\n

[3] Iten, R., Metger, T., Wilming, H., Del Rio, L. & Renner, R. Discovering physical concepts with neural networks. Phys. Rev. Lett. 124, 010508 (2020).<\/span><\/p>\n

[4] Brunton, S. L., Proctor, J. L. & Kutz, J. N. Discovering governing equations from data by sparse identification of nonlinear dynamical systems. Proc. Natl Acad. Sci. USA 113, 3932\u20133937 (2016).<\/span><\/p>\n

[5] Rudy, S. H., Brunton, S. L., Proctor, J. L. & Kutz, J. N. Data-driven discovery of partial differential equations. Sci. Adv. 3, e1602614 (2017).<\/span><\/p>\n

[6] Casadiego, J., Nitzan, M., Hallerberg, S. & Timme, M. Model-free inference<\/span><\/p>\n

of direct network interactions from nonlinear collective dynamics.<\/span><\/p>\n

Nat. Commun. 8, 2192 (2017).<\/span><\/p>\n

[7] Tang, Y., Qian, F., Gao, H., & Kurths, J. Synchronization in complex networks and its application\u2013a survey of recent advances and challenges. Annu. Rev. Control, 38, 184-198 (2014).<\/span><\/p>\n

[8] Deco, G., Rolls, E. T. & Romo, R. Stochastic dynamics as a principle of brain function. Prog. Neurobiol. 88, 1\u201316 (2009).<\/span><\/p>\n

[9] Genkin, M., Hughes, O., & Engel, T. A. Learning non-stationary Langevin dynamics from stochastic observations of latent trajectories. Nature Commun. 12, 1-9 (2021).<\/span><\/p>\n

[10] Lambiotte, R., Rosvall, M. & Scholtes, I. From networks to optimal higher-order models of complex systems. Nat. Phys. 15, 313\u2013320 (2019).<\/span><\/p>\n

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\u65f6\u95f4\uff1a2022.4.16 19:00-20:30<\/span><\/p>\n


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\u4e3b\u8bb2\u4eba\uff1a<\/span><\/strong>\u9ad8\u5a77\u5a77\uff0c2018\u7ea7\u540c\u6d4e\u5927\u5b66\u7269\u7406\u79d1\u5b66\u4e0e\u5de5\u7a0b\u5b66\u9662\u51dd\u805a\u6001\u7269\u7406\u76f4\u535a\u751f\uff0c2018\u5e74\u5e08\u4ece\u4e25\u94a2\u6559\u6388\uff0c\u4e3b\u8981\u7814\u7a76\u4e3a\u590d\u6742\u7f51\u7edc\u52a8\u529b\u5b66\u63a8\u65ad\uff1b\u5f00\u53d1\u4e86\u7ed3\u5408\u5168\u5c40\u7c97\u7c92\u56de\u5f52\u548c\u7cbe\u7ec6\u7b5b\u9009\u7684\u4e24\u6b65\u63a8\u7406\u65b9\u6cd5\uff0c\u5728\u591a\u79cd\u590d\u6742\u7cfb\u7edf\u52a8\u529b\u5b66\u5b9e\u73b0\u4e86\u52a8\u529b\u5b66\u63a8\u65ad\uff0c\u76f8\u5173\u5de5\u4f5c\u53d1\u8868\u5728Nature Computational Science<\/em>\u4e0a\u3002<\/span><\/p>\n


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\u7b80\u4ecb\uff1a<\/span><\/strong>\u751f\u7269\u3001\u793e\u4f1a\u3001\u4fe1\u606f\u590d\u6742\u7cfb\u7edf\u5f80\u5f80\u7f3a\u4e4f\u7b2c\u4e00\u6027\u539f\u7406\u7684\u5f15\u5bfc\uff0c\u56e0\u6b64\u4ece\u89c2\u6d4b\u6570\u636e\u4e2d\u63a8\u7406\u5e95\u5c42\u539f\u7406\u662f\u7814\u7a76\u8fd9\u4e9b\u590d\u6742\u7cfb\u7edf\u7684\u91cd\u8981\u9014\u5f84\u3002\u5982\u4f55\u4ece\u8fd9\u4e9b\u89c2\u6d4b\u6570\u636e\u4e2d\u63a8\u7406\u51fa\u51b3\u5b9a\u590d\u6742\u7cfb\u7edf\u884c\u4e3a\u7684\u5e95\u5c42\u52a8\u6001\u65b9\u7a0b\uff1f\u4e3a\u56de\u7b54\u8fd9\u4e00\u95ee\u9898\uff0c\u540c\u6d4e\u5927\u5b66\u7269\u7406\u79d1\u5b66\u4e0e\u5de5\u7a0b\u5b66\u9662\u3001\u4e0a\u6d77\u81ea\u4e3b\u667a\u80fd\u65e0\u4eba\u7cfb\u7edf\u79d1\u5b66\u4e2d\u5fc3\u4e25\u94a2\u6559\u6388\u56e2\u961f\u7814\u7a76\u63d0\u51fa\u7684\u201c\u6570\u636e\u9a71\u52a8\u7684\u590d\u6742\u7f51\u7edc\u52a8\u529b\u5b66\u81ea\u4e3b\u63a8\u7406\u65b0\u65b9\u6cd5\u6846\u67b6\u201d\uff1b\u5e76\u5c06\u7531\u672c\u5de5\u4f5c\u7b2c\u4e00\u4f5c\u8005\u9ad8\u5a77\u5a77\u8fdb\u884c\u6df1\u5ea6\u89e3\u8bfb\uff0c\u5e76\u5206\u4eab\u590d\u6742\u7f51\u7edc\u52a8\u529b\u5b66\u63a8\u7406\u7684\u5e7f\u9614\u524d\u666f\u3002<\/span><\/p>\n


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\u96c6\u667a\u5b66\u56ed\u7279\u9080\u9648\u5173\u8363\u3001\u6a0a\u745b\u3001\u5468\u8fdb\u3001\u674e\u7fd4\u3001\u5f20\u6c5f\u3001\u95eb\u5c0f\u52c7\u3001\u5218\u5b97\u534e\u3001\u77f3\u5ddd\u3001\u865e\u6587\u6b66\u3001\u8d75\u6d77\u5174\u3001\u53f2\u5b9a\u534e\u52a0\u5165\u6253\u9020\u7b2c\u4e09\u671f\u8bfe\u7a0b<\/a>\uff0c\u6b22\u8fce\u4f60\u7684\u52a0\u5165\u3002<\/span><\/section>\n

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