{"id":28977,"date":"2021-09-20T20:40:03","date_gmt":"2021-09-20T12:40:03","guid":{"rendered":"https:\/\/swarma.org\/?p=28977"},"modified":"2021-09-20T20:40:03","modified_gmt":"2021-09-20T12:40:03","slug":"%e6%96%87%e5%b0%8f%e5%88%9a%e9%9d%a9%e5%91%bd%e5%8f%8a%e6%96%b0%e4%bb%a3%e6%95%b0%e6%80%9d%e6%83%b3","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=28977","title":{"rendered":"\u6587\u5c0f\u521a\u9769\u547d\u53ca\u65b0\u4ee3\u6570\u601d\u60f3"},"content":{"rendered":"
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\u7814\u7a76\u9886\u57df\uff1a\u7b2c\u4e8c\u6b21\u91cf\u5b50\u9769\u547d\uff0c\u5f26\u8bba\uff0c\u7ea0\u7f20\uff0c\u62d3\u6251\u5e8f<\/strong><\/strong><\/span><\/strong><\/span><\/strong>\uff0c\u8303\u7574\u8bba<\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

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sayonly<\/span> | \u6765\u6e90<\/strong>
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1. \u7269\u7406\u5b66\u9769\u547d\u4e0e\u6570\u5b66<\/strong><\/strong><\/span><\/p>\n<\/section>\n

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\u4e00\u4e00\u5e93\u6069\u300a\u54e5\u767d\u5c3c\u9769\u547d\u300b<\/p>\n<\/section>\n<\/blockquote>\n<\/section>\n


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\u4e00\u4e00\u6c83\u683c\u6797\u300a\u7075\u77e5\u793e\u4f1a\u4e3b\u4e49\u300b<\/span><\/span><\/span><\/p>\n<\/section>\n<\/blockquote>\n<\/section>\n


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\u56fe1. \u529b\u5b66\u9769\u547d | \u6587\u5c0f\u521a<\/span><\/section>\n

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\u56fe2. <\/span>\u7535\u78c1\u9769\u547d<\/span><\/span> | \u6587\u5c0f\u521a<\/span><\/span><\/section>\n

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\u56fe3. <\/span>\u76f8\u5bf9\u8bba\u9769\u547d<\/span><\/span> | \u6587\u5c0f\u521a<\/span><\/span><\/section>\n

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\u56fe3. <\/span>\u7b2c\u4e00\u6b21\u91cf<\/span>\u5b50\u9769\u547d<\/span><\/span> | \u6587\u5c0f\u521a<\/span><\/span><\/section>\n

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2. \u683c\u70b9\u6a21\u578b<\/strong><\/strong><\/p>\n<\/section>\n

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\u5f00\u5c14\u6587\u66fe\u8bf4\u8fc7\uff0c\u5341\u4e5d\u4e16\u7eaa\u672b\uff0c\u7269\u7406\u5b66\u7684\u5927\u53a6\u5df2\u7ecf\u5efa\u7acb\uff0c\u6674\u6717\u5929\u7a7a\u4e2d\u8fdc\u5904\u98d8\u6d6e\u7740\u4e24\u6735\u4ee4\u4eba\u4e0d\u5b89\u7684\u4e4c\u4e91\u3002\u540e\u6765\u8fd9\u4e24\u6735\u4e4c\u4e91\uff0c\u50ac\u751f\u4e86\u73b0\u4ee3\u7406\u8bba\u7269\u7406\u7684\u4e24\u5927\u652f\u67f1\uff0c\u76f8\u5bf9\u8bba\u548c\u91cf\u5b50\u529b\u5b66<\/span>\uff08\u5373\u6587\u7684\u7b2c\u4e09\u6b21\u548c\u7b2c\u56db\u6b21\u7269\u7406\u5b66\u9769\u547d\uff09<\/span>\u3002\u76f8\u5bf9\u8bba\u63cf\u8ff0\u5b8f\u89c2\uff0c\u800c\u91cf\u5b50\u529b\u5b66\u63cf\u8ff0\u5fae\u89c2\u3002\u6240\u4ee5\uff0c\u7269\u7406\u5b66\u5bb6\u4e00\u76f4\u81f4\u529b\u4e8e\u5c06\u4e24\u8005\u7edf\u4e00\u8d77\u6765<\/strong>\u3002<\/span><\/section>\n

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\u5c1d\u8bd5\u5176\u5b9e\u6709\u5f88\u591a\uff0c\u4e00\u79cd\u6709\u8da3\u7684\u601d\u8def\u662f\u65f6\u7a7a\u7684\u91cf\u5b50\u5316<\/strong>\u3002\u5c06\u65f6\u7a7a\u7ec6\u5206\u7ec6\u5206\u518d\u7ec6\u5206\u5230\u5fae\u89c2\u5c3a\u5ea6\uff0c\u4ece\u800c\u6210\u4e3a\u4e00\u79cd\u53eb\u505a\u56e0\u679c\u96c6\u5408\u7684\u7ec6\u5c0f\u7ed3\u6784\uff0c\u5b83\u7ec4\u6210\u5b8f\u89c2\u7684\u65f6\u7a7a\u3002\u5176\u4e2d\u6700\u4e3a\u6fc0\u8fdb\u7684\u65b9\u6848\u53eb\u505a\u56e0\u679c\u52a8\u529b\u5b66\u4e09\u89d2\u5316\u3002\u4f7f\u7528\u4e00\u79cd\u6240\u8c13\u7684\u5bcc\u52d2\u65b9\u6cd5\uff1a\u65f6\u7a7a\u51e0\u4f55\u7531\u5927\u91cf\u7684\u7684\u57fa\u672c\u5143\u7d20\u6784\u6210\uff0c\u6bcf\u4e2a\u5143\u7d20\u4ee3\u8868\u7740\u4e00\u4e2a\u7b80\u5355\u7684\u56e0\u679c\u8fc7\u7a0b\u3002\u8fd9\u4e9b\u5143\u7d20\u5982\u4f55\u5806\u780c\uff0c\u7531\u51e0\u4e2a\u7b80\u5355\u7684\u6cd5\u5219\u51b3\u5b9a\uff1b\u6bcf\u4e00\u4e2a\u8fd9\u79cd\u91cf\u5b50\u65f6\u7a7a\u6a21\u578b\u7684\u91cf\u5b50\u529b\u5b66\u51e0\u7387\uff0c\u7531\u4e00\u4e2a\u7b80\u5355\u7684\u516c\u5f0f\u6765\u8ba1\u7b97\u3002\u6bcf\u4e00\u4e2a\u91cf\u5b50\u65f6\u7a7a\u90fd\u5fc5\u987b\u770b\u505a\u662f\u524d\u540e\u76f8\u63a5\u7684\u53ef\u80fd\u7a7a\u95f4\u7684\u5e8f\u5217\uff0c\u72b9\u5982\u4e16\u754c\u65f6\u949f\u7684\u4e00\u4e2a\u4e2a\u77ac\u95f4\u3002\u65f6\u95f4\u5750\u6807\u662f\u4efb\u610f\u7684\uff0c\u4e0e\u5e7f\u4e49\u76f8\u5bf9\u8bba\u4e00\u6837\uff0c\u4f46\u4e0d\u540c\u7684\u662f\uff0c\u4e16\u754c\u5386\u53f2\u4e0d\u80fd\u770b\u4f5c\u662f\u4e00\u4e2a\u65f6\u95f4\u4e0a\u524d\u540e\u76f8\u63a5\u7684\u51e0\u4f55\u5e8f\u5217\u3002\u7ecf\u5178\u65f6\u7a7a\u7531\u6b64\u7a81\u73b0\u800c\u6765\u3002<\/span><\/section>\n

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\u53e6\u4e00\u79cd\u6d41\u884c\u7684\u65b9\u6cd5\u662f\u5f26\u8bba<\/span><\/strong>\u3002\u7528\u632f\u52a8\u7684\u5f26\u4ee3\u66ff\u7c92\u5b50\u548c\u6ce2\uff0c\u4f5c\u4e3a\u7269\u8d28\u7ec4\u6210\u7684\u57fa\u672c\u5355\u5143\u3002\u5f26\u7684\u4e0d\u540c\u7684\u632f\u52a8\u6a21\u5f0f\u5f62\u6210\u4e0d\u540c\u7684\u7c92\u5b50\u3002<\/span><\/section>\n

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\u5708\u91cf\u5b50\u662f\u53e6\u4e00\u5957\u6709\u6548\u7684\u7406\u8bba<\/span><\/strong>\u3002\u7528\u81ea\u65cb\u6ce1\u6cab\u4f5c\u4e3a\u65f6\u7a7a\u7684\u5e95\u5c42\u63cf\u8ff0\uff0c\u8fd9\u662f\u4e00\u4e2a\u62d3\u6251\u7ed3\u6784\u3002\u7ecf\u5178\u65f6\u7a7a\u76f8\u5f53\u4e8e\u81ea\u65cb\u6ce1\u6cab\u7684\u53e0\u52a0<\/span>\uff08\u5e7f\u4e49\u8d39\u66fc\u56fe\uff09<\/span>\u3002\u81ea\u65cb\u6ce1\u6cab\u7684\u8fb9\u754c\u662f\u81ea\u65cb\u7f51\u7edc\uff0c\u76f8\u5f53\u4e8e\u4e00\u79cd\u91cf\u5b50\u51e0\u4f55\u63cf\u8ff0\u3002<\/span><\/section>\n

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\u4e0d\u8fc7\uff0c\u81ea\u65cb\u6ce1\u6cab\u51c6\u786e\u7684\u8bf4\u662f\u7a7a\u95f4\u7684\u91cf\u5b50\u5316\u3002\u65f6\u95f4\u5728\u5708\u91cf\u5b50\u4e2d\uff0c\u6709\u4e00\u4e2a\u70ed\u65f6\u95f4\u7684\u7406\u8bba\u3002\u57fa\u672c\u601d\u60f3\u662f\u5e7f\u4e49\u76f8\u5bf9\u8bba\u4e0e\u91cf\u5b50\u529b\u5b66\u5728\u65f6\u95f4\u6982\u5ff5\u4e0a\u51b2\u7a81\u3002\u89e3\u51b3\u8fd9\u4e2a\u51b2\u7a81\u7684\u65b9\u6cd5\u662f\u5efa\u7acb\u4e00\u4e2a\u6ca1\u6709\u65f6\u95f4\u6982\u5ff5\u7684\u91cf\u5b50\u529b\u5b66\uff0c\u7136\u800c\u518d\u53bb\u89c2\u5bdf\u5b83\u662f\u5426\u53ef\u4ee5\u4e0e\u63cf\u8ff0\u5b87\u5b99\u7684\u5e7f\u4e49\u76f8\u5bf9\u8bba\u76f8\u534f\u8c03\u3002\u91cf\u5b50\u529b\u5b66\u53ef\u4ee5\u91cd\u65b0\u5728\u65f6\u95f4\u65e0\u5173\u7684\u524d\u63d0\u4e0b\u91cd\u65b0\u5efa\u6784\uff0c\u6240\u4ee5\u5728\u91cf\u5b50\u5c3a\u5ea6\u7684\u5fae\u89c2\u4e16\u754c\u91cc\uff0c\u65f6\u95f4\u5c31\u4e0d\u518d\u5b58\u5728\u3002\u8fd9\u5c31\u662f\u70ed\u65f6\u95f4\u5047\u8bbe\u3002\u91c7\u7528\u8fd9\u79cd\u65b9\u6cd5\uff0c\u65f6\u95f4\u662f\u901a\u8fc7\u53ef\u89c1\u5b87\u5b99\u7684\u7edf\u8ba1\u5e73\u5747\u800c\u6d8c\u73b0\u7684\uff0c\u8fd9\u540c\u5206\u5b50\u8fd0\u52a8\u7684\u5e73\u5747\u4ea7\u751f\u6e29\u5ea6\u76f8\u7c7b\u4f3c\u3002<\/span><\/section>\n

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\u6587\u6a21\u578b<\/span><\/strong>\uff08\u5373Levin-Wen\u6a21\u578b\uff09<\/span>\u5b9e\u9645\u4e0a\u662f\u4e00\u4e2a\u5e7f\u4e49\u7684\u683c\u70b9\u6a21\u578b<\/span><\/strong>\u3002\u4e00\u822c\u6765\u8bf4\u683c\u70b9\u662f\u573a\u8bba\u4e2d\u7684\u4e00\u79cd\u65b9\u6cd5\uff0c\u975e\u5fae\u6270\u7684\u65f6\u5019\uff0c\u65e0\u7a77\u7ef4\u7684\u79ef\u5206\u4e0d\u77e5\u9053\u600e\u4e48\u7b97\uff0c\u6240\u4ee5\uff0c\u53d6\u573a\u8bba\u4e2d\u7684\u683c\u70b9\u7684\u503c\uff0c\u5c31\u53d8\u5f97\u53ef\u4ee5\u7b97\u4e86\u3002\u573a\u8bba\u7684\u4e2d\u5fc3\u601d\u60f3\u662f\u628a\u9ad8\u80fd\u7684\u683c\u70b9\u4fe1\u606f\u53bb\u6389\uff0c\u5b8c\u5907\u60c5\u51b5\u4e0b\uff0c\u4f4e\u80fd\u8ddf\u9ad8\u80fd\u7684\u7ec6\u8282\u6ca1\u6709\u5173\u7cfb\uff0c\u4e0d\u5b8c\u5907\u7684\u65f6\u5019\uff0c\u8fd8\u5f97\u628a\u683c\u70b9\u653e\u8fdb\u53bb\u3002\u4f20\u7edf\u7684\u89c2\u5ff5\u662f\uff0c\u573a\u8bba\u662f\u6839\u672c\uff0c\u683c\u70b9\u662f\u6280\u5de7\u3002\u4f46\u6587\u8ba4\u4e3a\uff0c\u4e0d\u662f\u573a\u8bba\u66f4\u6839\u672c\uff0c\u800c\u662f\u683c\u70b9\u66f4\u4e3a\u6839\u672c\u3002\u800c\u573a\u8bba\u662f\u683c\u70b9\u6a21\u578b\u7684\u4f4e\u80fd\u6709\u6548\u7406\u8bba\u3002<\/span><\/section>\n

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\u5982\u679c\u4ee5\u683c\u70b9<\/span>\uff08\u6216\u8005\u53eb\u91cf\u5b50\u6bd4\u7279\u6d77\uff09<\/span>\u4f5c\u4e3a\u7ec4\u6210\u7269\u8d28\u7684\u57fa\u7840\uff0c\u90a3\u4e48\u5c31\u5f97\u89e3\u91ca\u73b0\u4ee3\u7269\u7406\u5b66\u4e2d\u89c2\u5bdf\u5230\u7684\u73b0\u8c61\uff0c\u5efa\u7acb\u7528\u683c\u70b9\u5bfc\u51fa\u73b0\u6709\u5fae\u89c2\u3001\u5b8f\u89c2\u7406\u8bba\u7684\u6570\u5b66\u4f53\u7cfb\u3002\u4e3a\u4e86\u65b9\u4fbf\u7406\u89e3\uff0c\u4ee5\u6c34\u6765\u7c7b\u6bd4\uff0c\u5149\u53ef\u4ee5\u770b\u4f5c\u662f\u683c\u70b9\u7684\u6ce2\u52a8\uff0c\u7c7b\u4f3c\u4e8e\u6c34\u6ce2\uff1b\u6c34\u7684\u53e6\u5916\u4e00\u79cd\u5f62\u53d8\uff0c\u6c14\u6ce1\uff0c\u5c31\u53ef\u4ee5\u770b\u4f5c\u662f\u7535\u5b50\uff1b\u6c34\u4e2d\u8fd8\u6709\u6da1\u65cb\uff0c\u6da1\u65cb\u5c31\u53ef\u80fd\u5bf9\u5e94\u4e8e\u5938\u514b\u3002\u683c\u70b9\u7684\u4e0d\u540c\u5f62\u6001\u5bf9\u5e94\u4e8e\u4e0d\u540c\u7684\u57fa\u672c\u7c92\u5b50\u3002<\/span><\/section>\n

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\u56fe5. \u516b\u79cd\u5b87\u5b99\u5947\u8ff9 | \u6587\u5c0f\u521a<\/span><\/section>\n

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\u6587\u6a21\u578b\u80fd\u89e3\u91ca\u524d\u4e03\u79cd\u5947\u8ff9\uff0c\u76ee\u524d\u53ea\u6709\u7b2c\u516b\u79cd\u7684\u6570\u5b66\u57fa\u7840\u8fd8\u6ca1\u6709\u5b8c\u6210\u3002\u7528\u4e00\u79cd\u5f26\u6db2\u4f53<\/strong><\/span>\uff08\u6216\u5f26\u7f51\u6db2\u4f53\uff0c\u5373\u683c\u70b9\u7684\u7ed3\u6784\uff0c\u5f26\u7684\u7ebf\u6027\u53e0\u52a0\uff09<\/span>\u6765\u751f\u6210\u5404\u79cd\u57fa\u672c\u7269\u7406\u7406\u8bba\uff0c\u6bd4\u5982\u9ea6\u514b\u65af\u97e6\u65b9\u7a0b\u3001Yang-Mills\u65b9\u7a0b\u3002\u5f00\u5f26\u5c31\u662f\u7c92\u5b50<\/span><\/strong>\u3002\u5f15\u5165\u7684\u65b0\u6570\u5b66\u5c31\u662f\uff0c\u878d\u5408\u8303\u7574\u5b66<\/strong>\uff0cfusion category\uff1b\u4ee5\u53ca\u5f20\u91cf\u8303\u7574\u5b66<\/strong>\u3002<\/span><\/section>\n

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\u6587\u7684\u7a7a\u95f4\u8fd8\u662f\u7231\u56e0\u65af\u5766\u5f0f\u7684\uff0c\u7a7a\u95f4\u4e0d\u7a7a\uff0c\u5b83\u4e0d\u662f\u7269\u8d28\u7684\u80cc\u666f\uff0c\u6211\u4eec\u80fd\u770b\u5230\u6240\u6709\u7684\u81ea\u7136\u73b0\u8c61\uff0c\u90fd\u662f\u7a7a\u95f4\u7684\u6027\u8d28\u3002\u7a7a\u95f4\u53ef\u4ee5\u53d8\u5f62\uff0c\u53ef\u4ee5\u6709\u7f3a\u9677\uff0c\u5f62\u53d8\u548c\u7f3a\u9677\u5c31\u662f\u6211\u4eec\u770b\u5230\u7684\u5404\u79cd\u57fa\u672c\u7c92\u5b50\uff0c\u5c31\u662f\u7269\u8d28\u3002\u7269\u8d28\u662f\u7a7a\u95f4\u5185\u90e8\u6027\u8d28\u7684\u4e00\u79cd\u53cd\u6620\u3002\u53ef\u4ee5\u5229\u7528\u683c\u70b9\u6a21\u578b\u89e3\u91ca\u7a7a\u95f4\u6240\u6709\u7684\u6027\u8d28\u3002<\/span><\/section>\n

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\u6807\u51c6\u6a21\u578b\u5176\u5b9e\u662f\u76ee\u524d\u7269\u7406\u5b66\u754c\u6700\u516c\u8ba4\u7684\u7a33\u5b9a\u7406\u8bba\u3002\u4f46\u5b9e\u9645\u4e0a\uff0c\u6807\u51c6\u6a21\u578b\u5e76\u6ca1\u6709\u4e00\u4e2a\u4e25\u683c\u7684\u7406\u8bba\u5b9a\u4e49\u3002\u6709\u7684\u53ea\u662f\u5fae\u6270\u5c55\u5f00\u3002\u6807\u51c6\u6a21\u578b\u3001\u5f88\u591a\u573a\u8bba\u7684\u5fae\u6270\u5c55\u5f00\u6709\u4e25\u683c\u5b9a\u4e49\uff0c\u8ddf\u5b9e\u9a8c\u7684\u6bd4\u8f83\u90fd\u662f\u6839\u636e\u6807\u51c6\u6a21\u578b\u7684\u5fae\u6270\u5c55\u5f00\u6765\u7684\u3002\u4f46\u5fae\u6270\u5c55\u5f00\u4e0d\u6536\u655b\uff0c\u7b9710\u9636\u6ca1\u95ee\u9898\uff0c\u4f46100\u9636\u5c31\u53d1\u6563\u4e86\u3002<\/span><\/section>\n

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\u56e0\u679c\u96c6\u5176\u5b9e\u662f\u4e00\u79cd\u65f6\u7a7a\u79bb\u6563\u5316\u7684\u6280\u5de7<\/span>\u3002\u4e0d\u8fc7\u73b0\u4ee3\u7269\u7406\u5927\u90e8\u5206\u4e0d\u8ba4\u53ef\u5c06\u65f6\u7a7a\u4f5c\u4e3a\u6846\u67b6\uff0c\u800c\u662f\u8ba4\u4e3a\u65f6\u7a7a\u662f\u7531\u6846\u67b6\u5bfc\u51fa\u7684\uff0c\u4e00\u5b9a\u60c5\u51b5\u4e0b\uff0c\u53ef\u7531\u67d0\u79cd\u6570\u5b66\u516c\u5f0f\u5bfc\u51fa\u3002\u65f6\u7a7a\u7684\u51e0\u4f55\u7ed3\u6784\u5305\u542b\u4e86\u4e00\u4e2a\u4e8b\u4ef6\u5f15\u53d1\u53e6\u4e00\u4e2a\u4e8b\u4ef6\u7684\u4fe1\u606f\uff0c\u8fd9\u5c31\u662f\u65f6\u7a7a\u7684\u56e0\u679c\u7ed3\u6784\u3002\u56e0\u679c\u4e0e\u65f6\u7a7a\u7b49\u4ef7\u3002<\/strong>\u5982\u679c\u65f6\u7a7a\u662f\u6d8c\u73b0\u7684\uff0c\u90a3\u4e48\u56e0\u679c\u4e5f\u4e0d\u662f\u66f4\u57fa\u672c\u7684\u7ed3\u6784\u3002<\/span><\/section>\n

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\u65e9\u671f\u7684\u5f26\u8bba\u8fd8\u662f\u8fd8\u539f\u5f0f\u7684\u3002\u7269\u8d28\u53ef\u4ee5\u7ec6\u5206\u7ec6\u5206\u518d\u7ec6\u5206\u3002\u7ec6\u5206\u4e3a\u7c92\u5b50\uff0c\u7136\u540e\u518d\u7ec6\u5206\u4e3a\u5f26\u3002\u5728\u5f26\u7684\u8fd0\u52a8\u6a21\u5f0f\u5f62\u6210\u91cc\u7c92\u5b50\u3002\u539f\u5219\u4e0a\uff0c\u8d85\u5f26\u4e3b\u6d41\u8ba4\u4e3a\u662f\u53ef\u4ee5\u4ea7\u751f\u7231\u56e0\u65af\u5766\u7406\u8bba\u7684\u3002\u4f46\u4ecd\u9700\u8981\u7ed9\u51fa\u66f4\u4e3a\u4e25\u683c\u7684\u5b9a\u4e49\uff0c\u6bd4\u5982\u54c8\u5bc6\u987f\u91cf\u7684\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\u662f\u51e0\u7ef4\uff0c\u5927\u7684\u77e9\u9635\u7684\u91cf\u662f\u957f\u4ec0\u4e48\u6837\u3002\u8fd9\u6837\u53ef\u4ee5\u76f4\u63a5\u653e\u8fdb\u8ba1\u7b97\u673a\u4e2d\u8fdb\u884c\u8ba1\u7b97\u3002<\/span><\/section>\n

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

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3. \u957f\u7a0b\u91cf\u5b50\u7ea0\u7f20<\/strong><\/strong><\/p>\n<\/section>\n

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

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<\/section>\n
\u6587\u5176\u5b9e\u4e5f\u91cd\u65b0\u5b9a\u4e49\u4e86\u201c\u62d3\u6251\u201d\uff0c\u62d3\u6251\u4e0d\u518d\u662f\u4f20\u7edf\u7684\u7403\u548c\u751c\u751c\u5708\u7684\u62d3\u6251\u3002\u62d3\u6251\u5c31\u662f\u7ea0\u7f20\u3002\u7b97\u662f\u4e00\u79cd\u5bf9\u6297\u4efb\u4f55\u5c40\u57df\u6270\u52a8\u7684\u7a33\u5b9a\u6027<\/strong>\u3002<\/span><\/section>\n

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<\/section>\n

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<\/section>\n
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<\/section>\n
\u5f20\u91cf\u7f51\u7edc\u5c31\u662f\u63cf\u5199\u957f\u7a0b\u7ea0\u7f20<\/span><\/strong>\uff08\u62d3\u6251\u5e8f\uff09<\/span>\u7684\u6570\u5b66\u6846\u67b6<\/span><\/strong>\u3002\u5373\u6ca1\u6709\u529e\u6cd5\u901a\u8fc7\u5c40\u90e8\u53d8\u6362\u53d8\u6210\u76f4\u79ef\u3002\u5f20\u91cf\u7f51\u7edc\u5c31\u662f\u4e00\u79cd\u5e7f\u4e49\u7684\u8def\u5f84\u79ef\u5206\u63cf\u8ff0\uff0c\u5305\u542b\u7740\u4e00\u79cd\u5bf9\u91cd\u6574\u5316\u7fa4\u7684\u63a8\u5e7f\u3002\u6216\u8005\u7528\u6587\u7684\u53e6\u4e00\u4e2a\u79f0\u547c\uff0c\u91cf\u5b50\u7535\u8def\u3002<\/span><\/section>\n

<\/section>\n
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4. \u51dd\u805a\u6001<\/strong><\/strong><\/p>\n<\/section>\n

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<\/section>\n
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<\/section>\n
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5. \u91cf\u5b50\u6bd4\u7279\u4e0e\u6cdb\u8ba1\u7b97\u4e3b\u4e49<\/strong><\/strong><\/p>\n<\/section>\n

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<\/section>\n

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

<\/section>\n
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<\/section>\n
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\u6587\u7684\u6a21\u578b\u540c\u6837\u53ef\u4ee5\u542f\u53d1\u5143\u80de\u81ea\u52a8\u673a<\/strong>\u3002Werbos\u5728\u4e00\u6b21Stephen Wolfram\u62dc\u8bbfNSF\u8bb2\u8d77\u5143\u80de\u6a21\u578b\u7684\u65f6\u5019\u5efa\u8bae\u8fc7\u4ed6\uff0c\u53ef\u4ee5\u5728\u5143\u80de\u4e2d\u6bcf\u4e2a\u8282\u70b9\u5f15\u5165\u4e00\u4e2a\u7ec4\u7ec7\u65b9\u5f0f\u5982\u201cwheel\u201d\uff0c\u7531\u4e00\u7ec4\u4ece\u5355\u4f4d\u7403\u4f53\u4e2d\u53d6\u51fa\u7684\u77e2\u91cf\uff0c\u6216\u66f4\u9ad8\u7ef4\u7684\u5f20\u91cf\uff0c\u5728\u7403\u4f53\u4e0a\u800c\u4e0d\u662f\u7ebf\u4e0a\u5b9a\u4e49\u62d3\u6251\u7ea6\u675f\uff0c\u8054\u7ed3\u6da8\u843d\u3002\u6839\u636e\u6587\u7684\u6a21\u578b\uff0c\u53ef\u80fd\u90a3\u4ecd\u7136\u662f\u884c\u4e0d\u901a\u7684\uff0c\u53ef\u4ee5\u8fd8\u662f\u5e94\u8be5\u5f15\u5165\u5f20\u91cf\u548c\u957f\u7a0b\u76f8\u4e92\u4f5c\u7528\uff0c\u800c\u4e0d\u662f\u6839\u636e\u5468\u8fb9\u5143\u80de\u72b6\u6001\u7684\u5c40\u90e8\u76f8\u4e92\u4f5c\u7528\u3002<\/span><\/section>\n

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\u6cdb\u8ba1\u7b97\u8bba\u7684\u6839\u672c\u95ee\u9898\u8fd8\u662f\u5224\u5b9a\u95ee\u9898\u3002\u56e0\u4e3a\u5982\u679c\u53d6\u6d88\u4e86\u7269\u7406\u5c42\u7684\u5e95\u90e8\u7684\u57fa\u672c\u7c92\u5b50\u5c42\u6b21\uff0c\u683c\u70b9\u5c31\u662f\u7eaf\u7cb9\u6570\u5b66\u7684\u4e86\u3002<\/span>\u5177\u4f53\u548c\u62bd\u8c61\u5c31\u4e0d\u518d\u662f\u5bf9\u7acb\u7684<\/span><\/strong><\/span><\/a>\uff0c\u800c\u662f\uff0c\u5177\u4f53\u6210\u4e86\u4e00\u5c42\u7279\u6b8a\u7684\u62bd\u8c61\u5c42\u3002\u8fd9\u5c31\u9003\u4e0d\u8fc7\u54e5\u5fb7\u5c14\u5b9a\u7406\u3002<\/span>\u81ea\u6307\u7684\u65b9\u6848<\/span><\/span><\/strong><\/a>\u662f\u4e0d\u662f\u53ef\u63a5\u53d7\uff0c\u8fd8\u672a\u53ef\u77e5\u3002<\/span><\/section>\n

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6. \u65e0\u5e95\u5c42\u8bba<\/strong><\/strong><\/p>\n<\/section>\n

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\u4e00\u4e00\u5eb7\u5fb7<\/span><\/section>\n<\/section>\n<\/blockquote>\n

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\u65e0\u5e95\u5c42\u7684\u89c2\u70b9\u6700\u65e9\u662f\u7531\u8bfa\u8d1d\u5c14\u5956\u5f97\u4e3b\u6c49\u65af\u00b7\u5fb7\u83ab\u5c14\u7279\u63d0\u51fa\u6765\u7684\uff0c\u5176\u5177\u4f53\u7684\u542b\u4e49\u662f\uff0c\u7269\u7406\u5b66\u7684\u8fc7\u7a0b\u4e0d\u5b58\u5728\u6700\u5e95\u90e8\u7684\u57fa\u672c\u7c92\u5b50\u5c42\u6b21\uff0c\u4e5f\u5373\u7269\u8d28\u7684\u56e0\u679c\u4f5c\u7528\u8fc7\u7a0b\u5728\u7a7a\u95f4\u4e2d\u662f\u65e0\u9650\u53ef\u5206\u7684<\/strong>\u3002\u5e03\u6d1b\u514b\u5f15\u7528\u5fb7\u83ab\u5c14\u7279\u7684\u89c2\u70b9\uff0c\u662f\u4e3a\u4e86\u53cd\u9a73\u91d1\u5728\u6743\u7684\u201c\u56e0\u679c\u6392\u4ed6\u6027\u8bba\u8bc1\u201c\u3002\u6839\u636e\u201d\u56e0\u679c\u6392\u4ed6\u6027\u201c\u8bba\u8bc1\uff0c\u56e0\u4e3a\u5b8f\u89c2\u73b0\u8c61\u90fd\u53ef\u4ee5\u8fd8\u539f\u4e14\u540c\u4e00\u4e8e\u5fae\u89c2\u8fc7\u7a0b\uff0c\u5219\u6240\u6709\u7684\u5b8f\u89c2\u56e0\u679c\u4f5c\u7528\u90fd\u88ab\u5f52\u7ed3\u4e3a\u968f\u9644\u4e8e\u5fae\u89c2\u800c\u4ea7\u751f\u7684\u5e7b\u89c9\u3002\u8be5\u7406\u8bba\u5728\u7269\u7406\u5b66\u4e0a\u7684\u81f4\u547d\u56f0\u96be\u662f\uff0c\u5b83\u5c06\u65f6\u95f4\u7bad\u5934\u6240\u4f9d\u8d56\u7684\u70ed\u529b\u5b66\u7b2c\u4e8c\u5b9a\u5f8b\u8fd8\u539f\u4e3a\u52a8\u529b\u5b66\uff0c\u4ece\u800c\u53d6\u6d88\u4e86\u70ed\u529b\u5b66\u6548\u679c\u7684\u5b9e\u5728\u6027\uff0c\u4e5f\u5c31\u53d6\u6d88\u4e86\u771f\u5b9e\u65f6\u95f4\u7684\u5b9e\u5728\u6027\u3002\u4e3a\u4e86\u4fdd\u8bc1\u5b8f\u89c2\u56e0\u679c\u4f5c\u7528\u7684\u6709\u6548\u6027\uff0c\u5e03\u6d1b\u514b\u7528\u8be5\u539f\u7406\u8868\u660e\uff0c\u65e2\u7136\u5982\u679c\u4e0d\u5b58\u5728\u6700\u5e95\u5c42\u7684\u56e0\u679c\u8fc7\u7a0b\uff0c\u90a3\u4e48\u8bc9\u8bf8\u7edd\u5bf9\u8fd8\u539f\u8bba\u7684\u201d\u56e0\u679c\u6392\u4ed6\u6027\u8bba\u8bc1\u201c\u5c06\u88ab\u5f52\u7ed3\u4e8e\u65e0\u6548\uff0c\u800c\u7531\u6b64\u6bcf\u4e00\u5c42\u5b8f\u89c2\u73b0\u8c61\u90fd\u5c06\u83b7\u5f97\u76f8\u5bf9\u72ec\u7acb\u7684\u56e0\u679c\u6548\u529b\u3002\u53ef\u4ee5\u975e\u5e38\u660e\u663e\u7684\u770b\u5230\uff0c\u5e03\u6d1b\u514b\u5728\u8fd9\u91cc\u7684\u8bba\u8bc1\u540c\u5eb7\u5fb7\u5982\u51fa\u4e00\u8f99\uff0c\u7531\u4e8e\u7a7a\u95f4\u7684\u5206\u5272\u662f\u65e0\u7a77\u5012\u9000\u7684\u4e8c\u5f8b\u80cc\u53cd\uff0c\u90a3\u4e48\u5c06\u90e8\u5206\u4f5c\u4e3a\u6574\u4f53\u7684\u7edd\u5bf9\u539f\u56e0\u7684\u5e8f\u5217\u5c31\u5c06\u6210\u4e3a\u6076\u65e0\u9650\u6027\u7684\u65e0\u7a77\u8fdb\u5c55\uff0c\u800c\u6b64\u65f6\u56e0\u679c\u6548\u529b\u5c06\u8d4b\u4e88\u5eb7\u5fb7\u6240\u8bf4\u7684\u6574\u4f53\u7684\u6709\u673a\u8054\u7cfb\u672c\u8eab\u3002<\/span><\/section>\n

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7. \u65b0\u4ee3\u6570\u601d\u60f3<\/strong><\/strong><\/p>\n<\/section>\n

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

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\u8bfe\u7a0b\u94fe\u63a5\uff1ahttps:\/\/campus.swarma.org\/course\/3099<\/span><\/p>\n

\u626b\u7801\u52a0\u5165\u8bfe\u7a0b\u5b66\u4e60<\/span><\/p>\n

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