{"id":301,"date":"2013-06-22T19:47:33","date_gmt":"2013-06-22T11:47:33","guid":{"rendered":"http:\/\/lttt.blog.ustc.edu.cn\/?p=301"},"modified":"2013-06-22T19:47:33","modified_gmt":"2013-06-22T11:47:33","slug":"%e8%bd%ac%e8%bd%bd%e9%99%b6%e5%93%b2%e8%bd%a9%e6%88%91%e6%98%af%e5%a6%82%e4%bd%95%e5%ae%89%e6%8e%92%e6%97%b6%e9%97%b4%e7%9a%84","status":"publish","type":"post","link":"https:\/\/lttt.vanabel.cn\/?p=301","title":{"rendered":"[\u8f6c\u8f7d]\u9676\u54f2\u8f69:\u6211\u662f\u5982\u4f55\u5b89\u6392\u65f6\u95f4\u7684"},"content":{"rendered":"<p>\\title{\u6211\u5982\u4f55\u5b89\u6392\u65f6\u95f4}<br \/>\n\\author{\u9676\u54f2\u8f69 \u7ffb\u8bd1: <a href=\"http:\/\/liuxiaochuan.wordpress.com\/2008\/08\/08\/%E6%88%91%E5%A6%82%E4%BD%95%E5%AE%89%E6%8E%92%E6%97%B6%E9%97%B4%EF%BC%88%E8%AF%91%E8%87%AA%E9%99%B6%E5%93%B2%E8%BD%A9%E5%8D%9A%E5%AE%A2%EF%BC%89\/\">X.-C., Liu<\/a>}<\/p>\n<p>\u53d7\u5230\u4e00\u4e9b\u8bc4\u8bba\u7684\u9f13\u52b1\uff0c\u6211\u6700\u7ec8\u51b3\u5b9a\u5728\u8fd9\u91cc\u5199\u4e00\u4e9b\u5173\u4e8e\u5982\u4f55\u5b89\u6392\u65f6\u95f4\u7684\u5efa\u8bae\u3002\u5176\u5b9e\uff0c\u6211\u6709\u8fd9\u4e2a\u6253\u7b97\u5df2\u7ecf\u4e00\u6bb5\u65f6\u95f4\u4e86\uff0c\u53ef\u662f\u5c31\u6211\u81ea\u5df1\u7684\u60c5\u51b5\u800c\u8a00\uff0c\u8fd9\u65b9\u9762\u4e5f\u8fd8\u5728\u505a\u7740\u63a2\u7d22(\u8bfb\u8005\u5e94\u8be5\u770b\u770b\u6211\u7b49\u7740\u5199\u7684\u8bba\u6587\u6392\u4e86\u591a\u5c11!)\u800c\u4e14\u5f88\u591a\u60f3\u6cd5\u672a\u5fc5\u6210\u719f\u3002\uff08\u5df2\u7ecf\u6709\u4e00\u4e9b\u7ecf\u9a8c\u5199\u5728<em><a href=\"http:\/\/terrytao.wordpress.com\/advice-on-writing-papers\/\">\u6587\u7ae0\u5199\u4f5c\u7684\u5efa\u8bae<\/a><\/em> \u6bd4\u5982 <em><a href=\"https:\/\/terrytao.wordpress.com\/advice-on-writing-papers\/write-a-rapid-prototype-first\/\">\u5feb\u901f\u5199\u6587\u7ae0\u6846\u67b6<\/a><\/em>\uff09\u800c\u4e14\uff0c\u6211\u7684\u4e00\u4e9b\u4e2a\u4eba\u7ecf\u9a8c\u6050\u6015\u4e5f\u4e0d\u80fd\u5bf9\u6240\u6709\u4eba\u901a\u901a\u9002\u7528\uff0c\u56e0\u4e3a\u6bcf\u4e2a\u4eba\u90fd\u6709\u4e0d\u540c\u7684\u6027\u683c\u7c7b\u578b\u4ee5\u53ca\u5de5\u4f5c\u72b6\u6001\u3002\u6b22\u8fce\u5927\u5bb6\u628a\u81ea\u5df1\u7684\u60f3\u6cd5\u554a\uff0c\u7ecf\u9a8c\u554a\uff0c\u6216\u8005\u5efa\u8bae\u5728\u8bc4\u8bba\u4e2d\u5199\u51fa\u6765\u3002[\u5176\u5b9e\uff0c\u5373\u4f7f\u6211\u81ea\u5df1\u7684\u7ecf\u9a8c\uff0c\u6211\u6709\u65f6\u5019\u4e5f\u4e0d\u80fd\u4e25\u683c\u7684\u9075\u7167\uff0c\u633a\u9057\u61be\u7684.]<br \/>\n<!--more--><br \/>\n\u8fd9\u4e9b\u7ecf\u9a8c\u5e76\u4e0d\u7cfb\u7edf\uff0c\u6211\u6162\u6162\u7684\u53d9\u8ff0\u5982\u4e0b\u3002\u9996\u5148\uff0c\u6211\u8db3\u591f\u7684\u5e78\u8fd0\uff0c\u81ea\u5df1\u7684\u5f88\u591a\u4f18\u79c0\u7684\u5408\u4f5c\u8005\u90fd\u5728\u6211\u4eec\u5408\u4f5c\u7684\u5de5\u4f5c\u4e2d\u4ed8\u51fa\u4e86\u5927\u91cf\u7684\u5fc3\u8840\u3002\u6bd4\u5982\u6700\u8fd1\u6211\u7684\u535a\u5ba2\u5927\u5bb6\u770b\u5230\u7684\u8bba\u6587\uff0c\u5f88\u591a\u90fd\u5728\u5f88\u5927\u7684\u7a0b\u5ea6\u4e0a\u662f\u6211\u7684\u5408\u4f5c\u8005\u4eec\u8f9b\u52e4\u52b3\u4f5c\u7684\u6210\u679c\u3002\u4e00\u822c\u6765\u8bb2\uff0c\u6211\u89c9\u5f97\u51e0\u4e2a\u4eba\u5408\u4f5c\u7684\u65f6\u5019\uff0c\u867d\u7136\u5e38\u5e38\u8981\u82b1\u8d39\u7684\u65f6\u95f4\u8981\u591a\u4e00\u4e9b\uff0c\u4f46\u662f\u6bcf\u4e2a\u4eba\u5b9e\u9645\u82b1\u8d39\u7684\u529b\u6c14\u5374\u4ee4\u4eba\u5403\u60ca\u7684\u5c11\uff0c\u800c\u6587\u7ae0\u7684\u8d28\u91cf\u5374\u66f4\u9ad8\u3002\u6211\u53d1\u73b0\u81ea\u5df1\u53ef\u4ee5\u540c\u65f6\u4e0e\u5f88\u591a\u4eba\u5728\u4e0d\u540c\u7684\u5de5\u4f5c\u4e2d\u5408\u4f5c\uff08\u56e0\u4e3a\u5e38\u5e38\u4ed6\u4eec\u4e3a\u4e3b\uff0c\u6216\u8005\u8be5\u5de5\u4f5c\u5b9e\u9645\u4e0a\u5728\u7b49\u5f85\u8fdb\u4e00\u6b65\u53d1\u5c55.\uff09\u53ef\u662f\u5728\u6211\u72ec\u81ea\u5199\u8bba\u6587\u7684\u65f6\u5019\uff0c\u6211\u5374\u53ea\u80fd\u540c\u65f6\u53ea\u505a\u4e00\u4ef6\u5de5\u4f5c\u3002<\/p>\n<p>\u7531\u4e8e\u4e00\u4e9b\u5b66\u9662\u65f6\u95f4\u7684\u89c4\u5b9a\uff0c\u5728\u590f\u5b63\u5f88\u591a\u7684\u5de5\u4f5c\u8981\u505a\u7ed3\uff0c\u6570\u91cf\u8981\u6bd4\u5176\u4ed6\u4efb\u4f55\u65f6\u5019\u90fd\u591a\u3002\u8fd9\u4e9b\u5de5\u4f5c\u90fd\u5df2\u7ecf\u7ecf\u5386\u4e86\u76f8\u5f53\u957f\u4e00\u6bb5\u65f6\u95f4\u4e86\uff08\u6bd4\u5982\uff0c\u5f88\u5feb\u5c31\u8981\u6709\u4e00\u7bc7\u6587\u7ae0\u5b8c\u6210\u4e86\u3002\u5728\u8fd9\u7bc7\u6587\u7ae0\u4e0a\uff0c\u6211\u4eec\u5df2\u7ecf\u82b1\u8d39\u4e86\u4e09\u5230\u56db\u5e74\uff1b\u4ece2000\u5e74\u5f00\u59cb\uff0c\u6211\u5728\u5173\u4e8e\u6ce2\u6620\u5c04\u7684\u5168\u5c40\u6b63\u5219\u95ee\u9898\uff08the global regularity problem for wave maps problem\uff09\u4e0a\u5df2\u7ecf\u65f6\u65ad\u65f6\u7eed\u7684\u82b1\u8d39\u4e868\u5e74\u4e4b\u4e45\u4e86\u3002\uff09\u6240\u4ee5\u8bf4\uff0c\u5f53\u4e00\u7bc7\u8bba\u6587\u4e00\u4e2a\u661f\u671f\u5c31\u51fa\u73b0\uff0c\u8fd9\u53ef\u4e0d\u662f\u8bf4\uff0c\u4ece\u6000\u6709\u8fd9\u4e2a\u8bba\u6587\u7684\u60f3\u6cd5\uff0c\u5230\u771f\u6b63\u5199\u51fa\u6765\uff0c\u4ec5\u4ec5\u82b1\u8d39\u4e86\u4e00\u4e2a\u661f\u671f\u3002\u5176\u5b9e\u5f80\u5f80\u6574\u4e2a\u6f2b\u957f\u8fc7\u7a0b\u591a\u662f\u4e0d\u88ab\u4e16\u4eba\u6240\u77e5\u7684\u3002<\/p>\n<p>\u53e6\u5916\uff0c\u6211\u89e3\u51b3\u4e25\u8083\u6570\u5b66\u95ee\u9898\u7684\u80fd\u529b\u5e38\u5e38\u4e0a\u4e0b\u53d8\u5316\uff0c\u751a\u81f3\u6bcf\u5929\u90fd\u6709\u533a\u522b\u3002\u6709\u65f6\u5019\u6211\u53ef\u4ee5\u5728\u4e00\u4e2a\u95ee\u9898\u4e0a\u8fde\u7eed\u60f3\u4e00\u4e2a\u5c0f\u65f6\u4e4b\u4e45\uff1b\u800c\u6709\u65f6\u6211\u66f4\u9002\u5408\u53bb\u628a\u6211\u548c\u5408\u4f5c\u8005\u4eec\u7684\u8349\u7a3f\u5f0f\u7684\u60f3\u6cd5\u7ed9\u5177\u4f53\u5230\u7ec6\u8282\u7684\u5199\u51fa\u6765\uff1b\u53e6\u5916\u4e00\u4e9b\u65f6\u5019\uff0c\u6211\u89c9\u5f97\u81ea\u5df1\u53ea\u80fd\u6536\u6536\u90ae\u4ef6\uff0c\u6539\u6539\u9519\u8bef\uff0c\u751a\u81f3\u6253\u4e2a\u76f9\uff0c\u6563\u6563\u6b65\u3002\u6211\u89c9\u5f97\u975e\u5e38\u91cd\u8981\u7684\u4e00\u70b9\u5c31\u662f\uff0c\u6211\u5e94\u8be5\u6839\u636e\u81ea\u5df1\u7684\u72b6\u6001\u53d8\u5316\u6765\u8c03\u6574\u81ea\u5df1\u7684\u5de5\u4f5c\u5b89\u6392\u3002\u5982\u679c\u6211\u6709\u4e00\u6574\u4e2a\u4e0b\u5348\u7684\u65f6\u95f4\uff0c\u540c\u65f6\u53c8\u6709\u5f88\u597d\u7684\u72b6\u6001\uff0c\u6211\u53ef\u80fd\u5c31\u4f1a\u5173\u6389\u529e\u516c\u5ba4\u7684\u95e8\uff0c\u5173\u6389\u7f51\u7edc\uff0c\u9759\u4e0b\u5fc3\u6765\u5199\u8fd9\u7bc7\u82e6\u601d\u5df2\u4e45\u7684\u8bba\u6587\uff1b\u800c\u72b6\u6001\u4e0d\u884c\u7684\u65f6\u5019\u5462\uff0c\u6211\u5c31\u770b\u770b\u8fd9\u4e00\u5468\u7684E-mail\uff0c\u6295\u51e0\u7bc7\u7bc7\u8bba\u6587\uff0c\u5199\u5199blog\u3002\u603b\u4e4b\u6211\u8981\u505a\u4e9b\u8ddf\u7cbe\u529b\u7684\u70ed\u60c5\u7684\u9ad8\u4f4e\u5f88\u76f8\u914d\u7684\u5de5\u4f5c\u3002\u505a\u6570\u5b66\u591f\u5e78\u8fd0\u7684\u4e00\u70b9\u5c31\u662f\uff0c\u4f60\u53ef\u4ee5\u628a\u5927\u90e8\u5206\u7684\u5de5\u4f5c\u5728\u65f6\u95f4\u4e0a\u505a\u975e\u5e38\u81ea\u7531\u7684\u8c03\u6574\uff08\u4f46\u662f\u8bb2\u8bfe\u662f\u4e00\u4e2a\u975e\u5e38\u91cd\u8981\u7684\u4f8b\u5916\uff0c\u6211\u4eec\u5fc5\u987b\u56f4\u7ed5\u8bb2\u8bfe\u7684\u56fa\u5b9a\u65f6\u95f4\u6765\u505a\u5b89\u6392\uff09\u3002\u80fd\u591f\u51c6\u786e\u7684\u5224\u65ad\u81ea\u5df1\u5728\u67d0\u4e2a\u65f6\u6bb5\u7684\u5de5\u4f5c\u80fd\u529b\u4ee5\u53ca\u5bf9\u63a5\u4e0b\u6765\u7684\u65f6\u95f4\uff08\u6bd4\u5982\u8fd9\u4e00\u5929\u5269\u4e0b\u7684\u65f6\u95f4\uff09\u505a\u4f30\u8ba1\u662f\u5f88\u6709\u5e2e\u52a9\u7684\u3002\u65e0\u8bba\u662f\u592a\u8fc7\u81ea\u4fe1\uff0c\u8fd8\u662f\u592a\u4e0d\u81ea\u4fe1\uff0c\u5728\u9009\u62e9\u5177\u4f53\u7684\u5de5\u4f5c\u5185\u5bb9\u7684\u65f6\u5019\u90fd\u4f1a\u5e26\u6765\u4f4e\u6548\u7684\u540e\u679c\u3002\uff08\u6211\u5728\u8fd9\u4e24\u65b9\u9762\u53ef\u4ee5\u8bf4\u90fd\u6709\u53cd\u9762\u7684\u7ecf\u9a8c\u3002\uff09<\/p>\n<p>\u7c7b\u4f3c\u7684\u3002\u6211\u6709\u65f6\u4f1a\u6709\u4e00\u5927\u5806\u4e8b\u60c5\uff0c\u5728\u957f\u5ea6\uff0c\u590d\u6742\u5ea6\uff0c\u56f0\u96be\u5ea6\u90fd\u975e\u5e38\u4e0d\u540c\u3002\u8fd9\u4e00\u5806\u95ee\u9898\u5199\u5728\u6211\u7684\u201c\u8981\u505a\u201d\u6e05\u5355\u4e4b\u4e2d\uff0c\u5982\u679c\u5176\u4e2d\u6709\u67d0\u4e2a\u9700\u8981\u5f88\u7ec6\u81f4\u7684\u601d\u8003\u7684\u8bdd\uff0c\u6211\u4f1a\u5b8c\u5168\u6392\u9664\u6389\u5176\u4ed6\u5e72\u6270\uff0c\u53ea\u5c06\u6ce8\u610f\u529b\u653e\u5728\u8fd9\u4e00\u4e2a\u95ee\u9898\u4e4b\u4e0a\uff0c\u5176\u4ed6\u7684\u80fd\u62d6\u540e\u7684\u62d6\u540e\uff0c\u80fd\u653e\u5f03\u7684\u653e\u5f03\u6389\uff1b\u6211\u53ea\u6709\u5728\u5404\u9879\u5de5\u4f5c\u90fd\u4e0d\u4f1a\u8017\u8d39\u6211\u5f88\u591a\u65f6\u95f4\u7684\u60c5\u51b5\u4e0b\uff0c\u624d\u4f1a\u540c\u65f6\u5728\u5404\u4e2a\u65b9\u9762\u5de5\u4f5c\u3002\uff08\u800c\u4e14\uff0c\u6211\u8fd8\u5728\u8fd9\u4e9b\u5de5\u4f5c\u4e2d\u90fd\u6ca1\u6709\u4ec0\u4e48\u7075\u611f\u3002\uff09\u5e38\u5e38\u53d1\u751f\u7684\u60c5\u51b5\u662f\uff0c\u8fd9\u4e9b\u4efb\u52a1\u8981\u6bd4\u6211\u9884\u60f3\u7684\u96be\uff0c\u9700\u8981\u66f4\u591a\u7684\u7cbe\u529b\uff0c\u65f6\u95f4\u6216\u8005\u662f\u8010\u5fc3\u624d\u80fd\u591f\u5b8c\u6210\u3002\u8fd9\u65f6\u4faf\uff0c\u4f60\u5c31\u5fc5\u987b\u8981\u627e\u5230\u4e00\u4e2a\u5408\u9002\u7684\u201c\u4f11\u606f\u70b9\u201d\uff08\u6bd4\u5982\uff0c\u8bc1\u660e\u4e00\u7bc7\u8bba\u6587\u4e2d\u7684\u5173\u952e\u547d\u9898\uff1b\u5199\u4e0b\u8ba8\u8bba\u4e2d\u7684\u4e00\u4e2a\u60f3\u6cd5\uff0c\u5199\u51fa\u6765\u9ed1\u677f\u4e0a\u7684\u67d0\u4e2a\u7075\u611f\uff0c\u6216\u8005\u628a\u4e00\u4e2a\u8bba\u6587\u8349\u7a3f\u5177\u4f53\u5b8c\u6210\u5230\u7ec6\u8282\u3002\uff09\u4f7f\u5f97\u8fd9\u4ef6\u5de5\u4f5c\u53ef\u4ee5\u653e\u4e0b\u6765\u4e0d\u60f3\u4e00\u6bb5\u65f6\u95f4\uff0c\u7b49\u5230\u56de\u6765\u7684\u65f6\u5019\u4f9d\u7136\u80fd\u591f\u5f88\u8212\u670d\u4ece\u65ad\u5f00\u7684\u5730\u65b9\u76f4\u63a5\u7ee7\u7eed\u539f\u6765\u7684\u5de5\u4f5c\u3002\u5e94\u5f53\u907f\u514d\u5728\u4e00\u4ef6\u5de5\u4f5c\u5b8c\u6210\u4e00\u534a\u7684\u65f6\u5019\u5c31\u505c\u4e0b\u6765\uff0c\u6ca1\u6709\u627e\u5230\u5408\u9002\u7684\u201c\u4f11\u606f\u70b9\u201d\u3002\u7ed3\u679c\u8981\u4e48\u8fd9\u4ef6\u5de5\u4f5c\u534a\u9014\u800c\u5e9f\uff0c\u8981\u4e48\u7559\u5728\u8111\u888b\u4e2d\u4e0d\u80fd\u5f7b\u5e95\u5fd8\u6389\uff0c\u4ee5\u81f3\u4e8e\u5f71\u54cd\u5176\u4ed6\u7684\u5de5\u4f5c\uff0c\u800c\u5f53\u4f60\u628a\u8fd9\u4e2a\u95ee\u9898\u6361\u8d77\u6765\u7684\u65f6\u5019\uff0c\u5e38\u5e38\u8981\u4ece\u524d\u9762\u7684\u4ec0\u4e48\u5730\u65b9\u91cd\u65b0\u5f00\u59cb\u601d\u8003\uff0c\u6d6a\u8d39\u4e86\u65f6\u95f4\u3002\u4f46\u662f\u4e5f\u65e0\u5fc5\u8981\u62ff\u5230\u4e00\u4e2a\u4efb\u52a1\u5c31\u4e00\u6b21\u5b8c\u5168\u7684\u5b8c\u6210\uff0c\u53ea\u8981\u627e\u5230\u5408\u9002\u7684\u6682\u505c\u7684\u5730\u65b9\u5c31\u597d\u3002\u4e3e\u4e00\u4e2a\u4fd7\u6c14\u4e00\u4e9b\u7684\u4f8b\u5b50\uff1a\u6211\u5728\u5199\u4fe1\u7684\u65f6\u5019\uff08\u4e00\u822c\u90fd\u662f\u6211\u5de5\u4f5c\u72b6\u6001\u8f83\u5dee\uff0c\u4e0d\u80fd\u53bb\u505a\u4e25\u8083\u7684\u6570\u5b66\u95ee\u9898\u7684\u65f6\u5019\uff09\uff0c\u6211\u4f1a\u5199\u5b8c\u5e76\u6253\u5370\u597d\uff0c\u88c5\u5230\u4fe1\u5c01\u4e4b\u4e2d\uff0c\u7136\u540e\u5c31\u628a\u5b83\u4eec\u653e\u5728\u56fa\u5b9a\u7684\u5730\u65b9\uff0c\u800c\u4e00\u822c\u4e0d\u4f1a\u9a6c\u4e0a\u5c31\u90ae\u5bc4\u51fa\u53bb\uff08\u5305\u62ec\u5f88\u591a\u7c7b\u4f3c\u7684\u4e1c\u897f\u90fd\u653e\u5728\u4e00\u8d77\uff09\u3002\u76f4\u5230\u6211\u201c\u56fa\u5b9a\u7684\u5730\u65b9\u201d\u5806\u6ee1\u4e86\u6587\u4ef6\uff0c\u800c\u6211\u6709\u6ca1\u6709\u4ec0\u4e48\u5176\u4ed6\u4e8b\u60c5\u597d\u505a\u7684\u65f6\u5019\uff0c\u6211\u4f1a\u7edf\u4e00\u7684\u628a\u4ed6\u4eec\u4e00\u8d77\u5904\u7406\u3002\uff08\u6bd4\u5982\u5f53\u6211\u7684\u7535\u8111\u51fa\u70b9\u95ee\u9898\u7684\u65f6\u5019\uff0c\u5c31\u662f\u4e2a\u4e0d\u9519\u7684\u65f6\u673a\u3002\uff09<\/p>\n<p>\u4e00\u822c\u7684\u8bb2\uff0c\u6709\u4e9b\u4e0d\u9700\u8981\u5f88\u96c6\u4e2d\u7cbe\u529b\u5904\u7406\u7684\u95ee\u9898\u6700\u597d\u80fd\u591f\u6210\u6279\u7684\u5904\u7406\uff0c\u800c\u90a3\u4e9b\u9700\u8981\u96c6\u4e2d\u7cbe\u529b\u5206\u522b\u5e94\u5bf9\u7684\u4efb\u52a1\uff0c\u5c31\u4e0d\u8981\u88ab\u6742\u4e8b\u5206\u6563\u4e86\u529b\u91cf\u3002<\/p>\n<p>\u8ddf\u6240\u8c13\u7684\u201c\u4f11\u606f\u70b9\u201d\u7684\u5bfb\u627e\u76f8\u5173\u7684\u4e00\u70b9\u5c31\u662f\u8981\u4f1a\u628a\u53c8\u5927\u53c8\u957f\u7684\u4efb\u52a1\u7ed9\u5207\u788e\uff0c\u8ba9\u4ed6\u4eec\u53d8\u6210\u82e5\u5e72\u7684\u5c0f\u95ee\u9898\uff0c\u800c\u4e14\u6bcf\u4e2a\u95ee\u9898\u53c8\u80fd\u591f\u6709\u5f88\u597d\u7684\u72ec\u7acb\u6027\u4ee5\u53ca\u81ea\u6d3d\u6027\u3002\u6700\u597d\u4e0d\u8fc7\u7684\u5c31\u662f\u6bcf\u4e2a\u5c0f\u95ee\u9898\u90fd\u80fd\u6709\u4ed6\u81ea\u5df1\u7684\u610f\u4e49\u3002\u4e3e\u4e00\u4e2a\u4f8b\u5b50\u5c31\u662f\uff0c\u6211\u662f\u5b8c\u5168\u4e0d\u5927\u53ef\u80fd\u4e00\u6b21\u6027\u5b8c\u6574\u7684\u5199\u51fa\u5173\u4e8e\u5e9e\u52a0\u83b1\u731c\u60f3\u7684\u8bc1\u660e\uff0c\u800c\u5f53\u6211\u628a\u5b83\u4eec\u5206\u6210\u4e8619\u4e2a\u90e8\u5206\u4e4b\u540e\uff0c\u8fd9\u4e9b\u90e8\u5206\u90fd\u76f8\u5bf9\u53ef\u4ee5\u5f88\u597d\u7684\u5904\u7406\uff0c\u800c\u4e14\u53c8\u80fd\u591f\u6709\u5176\u72ec\u7acb\u5b58\u5728\u7684\u4ef7\u503c\u3002\uff08\u800c\u4e14\uff0c\u6211\u8fd8\u53d1\u73b0\uff0c\u628a\u81ea\u5df1\u903c\u5230\u60ac\u5d16\u8fb9\u4e0a\u4e5f\u5e38\u5e38\u5f88\u6709\u6548\u3002\u6211\u63d0\u524d\u5ba3\u5e03\u8981\u8bb2\u5e9e\u52a0\u83b1\u731c\u60f3\u7684\u8bc1\u660e\uff0c\u8fd9\u7ed9\u6211\u5e26\u6765\u5f88\u591a\u52a8\u529b\uff0c\u4e0d\u81f3\u4e8e\u534a\u9014\u800c\u5e9f\u3002\uff09<\/p>\n<p>\uff08\u8bd1\u8005\u6ce8\uff1a <em><a href=\"http:\/\/terrytao.wordpress.com\/category\/teaching\/285g-poincare-conjecture\/\">lectures on the Poincar\u00e9 conjecture<\/a><\/em> \u662f\u9676\u6559\u6388\u4eca\u5e74\u7684\u4e00\u95e8\u535a\u58eb\u8bfe\u7a0b\uff0c\u8bfe\u7a0b\u53c2\u8003\u8457\u540d\u7684Perelman\u7684\u4e09\u7bc7\u8bba\u6587\uff0c\u7530\u521a\u7684500\u9875\u7684\u4e66\uff0c\u4ee5\u53ca\u6731\u71b9\u5e73\uff0c\u66f9\u6000\u4e1c\u7684300\u9875\u7684\u8bba\u6587\u4e3a\u6559\u6750\u3002\u7531\u4e8e\u8bfe\u7a0b\u975e\u5e38\u8270\u6df1\uff0c\u56e0\u6b64\u4e0a\u8bfe\u7684\u5177\u4f53\u8981\u6c42\u5341\u5206\u7b80\u5355\uff0c\u53ea\u8981\u575a\u6301\u542c\u8bfe\u5c31\u597d\uff0c\u6ca1\u6709\u4efb\u4f55\u7684\u4f5c\u4e1a\u6216\u8005\u8003\u8bd5\u8981\u6c42\u3002\u8fd9\u95e8\u8bfe\u7684\u4e3b\u9875\u4ee5\u53ca\u6240\u6709\u8bb2\u4e49\u5728\u9676\u6559\u6388\u7684\u535a\u5ba2\u4e0a\u53ef\u4ee5\u770b\u5230\uff0c\u94fe\u63a5\u5728<a href=\"http:\/\/terrytao.wordpress.com\/category\/teaching\/285g-poincare-conjecture\/\">\u8fd9\u91cc<\/a>.)<\/p>\n<p>\u73b0\u4ee3\u6587\u5b57\u5904\u7406\u7684\u4f18\u70b9\u5c31\u662f\uff0c\u4efb\u4f55\u65f6\u5019\u90fd\u53ef\u4ee5\u95f4\u65ad\u4e0b\u6765\uff0c\u5c06\u8349\u7a3f\u4fdd\u5b58\u3002\u53c8\u5f88\u5bb9\u6613\u627e\u4e2a\u65f6\u95f4\u7ee7\u7eed\u3002\u8fd9\u4e2ablog\u5c31\u662f\u8fd9\u6837\u3002\u6211\u975e\u5e38\u60ca\u53f9\u4e8e\u5728\u8ba1\u7b97\u673a\u65f6\u4ee3\u4e4b\u524d\u7684\u90a3\u4e9b\u6570\u5b66\u5bb6\u4eec\uff0c\u4ed6\u4eec\u5c45\u7136\u80fd\u591f\u5199\u51fa\u5982\u6b64\u9ad8\u8d28\u91cf\u7684\u8bba\u6587\u751a\u81f3\u662f\u539a\u539a\u7684\u4e00\u672c\u4e66\u3002\u800c\u6211\u5373\u4f7f\u6709\u79d8\u4e66\u7684\u5e2e\u52a9\uff0c\u4e5f\u4f1a\u89c9\u5f97\u8fd9\u4ef6\u4e8b\u76f8\u5f53\u7684\u56f0\u96be\u3002<\/p>\n<p>\u6709\u65f6\u5019\u5e94\u5f53\u82b1\u8d39\u5927\u6bb5\u7684\u65f6\u95f4\u6765\u5b66\u4e60\u67d0\u79cd\u6280\u672f\uff0c\u56e0\u4e3a\u8fd9\u4e9b\u6280\u672f\u5c06\u4f1a\u5728\u672a\u6765\u4e0d\u65ad\u7684\u88ab\u4f7f\u7528\u3002\u8fd9\u5176\u4e2d\u4e00\u4e2a\u597d\u7684\u4f8b\u5b50\u5c31\u662f\u6570\u5b66\u4e2d\u7684LaTex\u7f16\u8f91\u8f6f\u4ef6\u3002\u5982\u679c\u4f60\u6253\u7b97\u5199\u5f88\u591a\u7684\u8bba\u6587\uff0c\u90a3\u4e48\u5c31\u5e94\u8be5\u82b1\u8d39\u4e9b\u65f6\u95f4\u4ed4\u7ec6\u7814\u7a76\u4e00\u4e0b\u8fd9\u4e2a\u8f6f\u4ef6\uff0c\u7ed9\u81ea\u5df1\u5c06\u6765\u5e26\u6765\u65b9\u4fbf\u3002\u597d\u597d\u7684\u5b66\u4e60\u4e00\u4e0b\u8b6c\u5982\u600e\u4e48\u753b\u56fe\u600e\u4e48\u505a\u8868\u7b49\u7b49\u3002\u8fd1\u6765\uff0c\u6211\u8bd5\u56fe\u5229\u7528\u5b8f\u5b9a\u4e49\u7684\u65b9\u6cd5\u5c06\u6807\u51c6\u7684latex\u7801\uff08\u5982<\/p>\n<pre lang=\"latex\">\\begin{theorem} \u2026 \\end{theorem} \\begin{proof} \u2026 \\end{proof}<\/pre>\n<p>\u7b49\u7b49\uff09\u7b80\u5316\uff0c\u8282\u7ea6\u4e86\u51fb\u952e\u6b21\u6570\u3002\u6bcf\u6b21\u7684\u65f6\u95f4\u8282\u7ea6\u5f53\u7136\u5f88\u5c11\uff0c\u4f46\u662f\u7d2f\u8ba1\u8d77\u6765\uff0c\u6548\u679c\u5c31\u4f1a\u4e0d\u540c\u3002\u800c\u4e14\uff0c\u5728\u5de5\u4f5c\u7684\u65f6\u5019\u5982\u679c\u6709\u6548\u7387\u5f88\u9ad8\u7684\u611f\u89c9\uff0c\u4eba\u4e5f\u4f1a\u7cbe\u795e\u6296\u64de\uff0c\u58eb\u6c14\u9ad8\u6da8\u3002\uff08\u5199\u957f\u8bba\u6587\u7684\u65f6\u5019\u5c31\u80fd\u6709\u4f53\u4f1a\u3002\uff09<\/p>\n<p>\u800c\u5728\u53e6\u5916\u7684\u4e00\u4e9b\u60c5\u51b5\u4e0b\uff0c\u5374\u53cd\u800c\u53ef\u4ee5\u5bf9\u4e00\u4e9b\u4efb\u52a1\u8fdb\u884c\u63a8\u8fdf\uff0c\u5ef6\u8bef\uff0c\u751a\u81f3\u653e\u4e0b\u53bb\u505a\u4e9b\u5176\u4ed6\u7684\u5de5\u4f5c\u3002\u5e76\u4e0d\u662f\u6240\u6709\u7684\u4e8b\u60c5\u90fd\u540c\u6837\u7684\u91cd\u8981\u3002\u9762\u5bf9\u4e00\u4e2a\u7ed9\u5b9a\u7684\u4efb\u52a1\uff0c\u5982\u679c\u4e00\u4e2a\u4eba\u7b49\u5230\u81ea\u5df1\u7684\u6280\u80fd\u66f4\u5f3a\u608d\uff0c\u6216\u8005\u662f\u53d1\u751f\u4e86\u67d0\u4ef6\u4e8b\u60c5\u4f7f\u5f97\u8fd9\u4e2a\u4efb\u52a1\u53d8\u5f97\u4e0d\u518d\u90a3\u4e48\u91cd\u8981\uff0c\u90a3\u4e48\u8fd9\u4e2a\u5de5\u4f5c\u663e\u7136\u5c31\u53d8\u5f97\u7b80\u5355\u4e86\u3002\u6bd4\u5982\uff0c\u6211\u76ee\u524d\u5173\u4e8e\u6ce2\u6620\u5c04\u7684\u8bba\u6587 (<em><a href=\"http:\/\/wordpress.com\/tag\/project-heatwave\/\">papers on wave maps<\/a><\/em> \u88ab\u5ef6\u8bef\u4e86\u597d\u4e9b\u5e74\uff0c\u4e3b\u8981\u662f\u56e0\u4e3a\u6211\u81ea\u5df1\u6ca1\u80fd\u575a\u6301\u3002\u7136\u800c\u56de\u60f3\u8d77\u6765\uff0c\u6211\u770b\u5230\u628a\u8bba\u6587\u653e\u5728\u90a3\u4e00\u6bb5\u65f6\u95f4\u4e5f\u6709\u4e0d\u9519\u7684\u65b9\u9762\u3002\u5f53\u521d\u6211\u8ba1\u5212\u4e2d\u7684\u65b9\u6cd5\u5728\u6280\u672f\u4e0a\u7b80\u76f4\u662f\u4e2a\u5669\u68a6\u3002\u771f\u7684\u5f88\u6709\u5fc5\u8981\u7b49\u5f85\u5408\u9002\u7684\u5de5\u5177\u51fa\u73b0\uff0c\u7b49\u5f85\u5bf9\u8fd9\u4e2a\u9886\u57df\u7684\u7406\u89e3\u7684\u52a0\u6df1\uff0c\u7136\u540e\u5728\u5bf9\u95ee\u9898\u6709\u66f4\u6df1\u523b\u66f4\u6709\u6548\u7684\u5904\u7406\u3002 [\u4e5f\u8bb8\u8fd9\u7bc7\u6587\u7ae0\u672c\u8eab\u5c31\u662f\u4e00\u4e2a\u5f88\u597d\u7684\u4f8b\u5b50\u3002\u5728\u6211\u7684\u535a\u5ba2\u4e2d\uff0c\u8fd8\u6709\u5f88\u591a\u7684\u6587\u7ae0\u8349\u7a3f\u6211\u89c9\u5f97\u8fd8\u4e0d\u6210\u719f\uff0c\u81f3\u5c11\u73b0\u5728\u8fd8\u4e0d\u662f\u9732\u9762\u7684\u65f6\u5019\u3002\u5b83\u4eec\u8fd8\u5728\u7b49\u5f85\u8fdb\u4e00\u6b65\u7684\u4fee\u6539\u3002\u5e76\u4e0d\u662f\u6240\u6709\u7684\u60f3\u6cd5\u6216\u8005\u8bdd\u9898\u90fd\u80fd\u591f\u987a\u5229\u5b8c\u6210\uff0c\u53d8\u6210\u4e00\u4e2a\u6709\u610f\u4e49\u7684\u7ed3\u679c\uff0c\u53c2\u8003\u6211\u7684\u53e6\u4e00\u7bc7\u201c\u5229\u7528\u5783\u573e\u7bb1\u201d\u3002\uff08<em><a href=\"http:\/\/terrytao.wordpress.com\/career-advice\/use-the-wastebasket\/\">use the wastebasket<\/a><\/em>)]<\/p>\n<p>\u6211\u7684\u6700\u540e\u4e00\u4e2a\u5efa\u8bae\u5c31\u662f\u8981\u5236\u5b9a\u4e00\u4e2a\u8ba1\u5212\u4e4b\u540e\u8981\u5c3d\u6700\u5927\u52aa\u529b\u575a\u6301\u4e0b\u53bb\uff0c\u4e00\u4e2a\u4e0d\u80fd\u5168\u5fc3\u6295\u5165\u7684\u8ba1\u5212\u8fd8\u4e0d\u5982\u5e72\u8106\u6ca1\u6709\u8ba1\u5212\u3002\u6211\u7684\u8ba1\u5212\u5305\u62ec\u6211\u81ea\u5df1\u7684PDA\u548c\u7b14\u8bb0\u672c\uff0c\u6211\u7684E-mail\u540c\u6b65\u3002\u6211\u7684\u5404\u79cd\u8ba1\u5212\u548c\u529e\u516c\u5ba4\u4e2d\u5176\u4ed6\u7684\u8bbe\u8ba1\u597d\u7684\u4e1c\u897f\u4fdd\u6301\u4e00\u81f4\u3002\u6211\u8fd8\u6709\u4e00\u4e2a\u201c\u4fdd\u7559\u7684\u201d\u9ed1\u677f\uff0c\u4e0a\u9762\u5199\u5f97\u4e1c\u897f\u4e5f\u8bb8\u53ea\u6709\u6211\u81ea\u5df1\u80fd\u5b8c\u5168\u660e\u767d\u3002\u6211\u5e76\u4e0d\u60f3\u5f88\u8be6\u7ec6\u7684\u5728\u8fd9\u91cc\u628a\u8fd9\u4e9b\u5199\u7684\u5f88\u8be6\u7ec6\u3002\u603b\u4e4b\uff0c\u6211\u5df2\u7ecf\u5f88\u4e60\u60ef\u4e8e\u6211\u7684\u8fd9\u4e9b\u8ba1\u5212\uff0c\u800c\u4e14\u5230\u76ee\u524d\u4e3a\u6b62\u4e00\u5207\u90fd\u975e\u5e38\u597d(\u5c3d\u7ba1\u6211\u53ef\u4e0d\u5e0c\u671b\u6709\u4eba\u628a\u6211\u7684\u9ed1\u677f\u64e6\u5e72\u51c0\uff01).\u9009\u62e9\u600e\u6837\u7684\u8ba1\u5212\u663e\u7136\u662f\u4e00\u4e2a\u975e\u5e38\u9690\u79c1\u7684\u4e8b\u60c5\uff0c\u6211\u5f53\u7136\u4e5f\u4e0d\u5927\u53ef\u80fd\u5bf9\u6bcf\u4e2a\u4eba\u7ed9\u51fa\u6700\u597d\u7684\u5efa\u8bae\uff0c\u53ea\u80fd\u8bb2\u8bb2\u81ea\u5df1\u6b63\u5728\u5b9e\u65bd\u7684\u65b9\u6cd5.\u6211\u8ba4\u4e3a\u8fd9\u4e9b\u65b9\u6cd5\u7ed9\u6211\u8d62\u5f97\u4e86\u5f88\u591a\u7684\u65f6\u95f4;\u6211\u4e0d\u7528\u82b1\u8d39\u7cbe\u529b\u53bb\u8003\u8651\u81ea\u5df1\u5728\u5468\u4e8c\u4e0b\u53483\u70b9\u949f\u8be5\u505a\u4e9b\u4ec0\u4e48\uff1b\u4e3a\u4e86\u76ee\u7684A\uff0cB\uff0cC\uff0c\u5728X\uff0cY\uff0cZ\u65b9\u9762\u90fd\u9700\u8981\u505a\u4e9b\u4ec0\u4e48\u4e5f\u4e0d\u7528\u518d\u64cd\u5fc3\uff0c\u8fd9\u6837\u6211\u53ef\u4ee5\u6295\u5165\u66f4\u591a\u7684\u7cbe\u529b\u4e8e\u7406\u89e3\u6570\u5b66\u672c\u8eab\uff0c\u6291\u6216\u8bc1\u660e\u4e00\u4e2a\u6709\u96be\u5ea6\u7684\u547d\u9898\uff0c\u6216\u8005\u4ec0\u4e48\u5176\u4ed6\u7684\u7684\u5de5\u4f5c. [\u6211\u8fd8\u53d1\u73b0\uff0c\u5f53\u5212\u6389\u8ba1\u5212\u4e2d\u7684\u4efb\u52a1\u65f6\u6240\u5e26\u6765\u7684\u5fc3\u7406\u4e0a\u7684\u8212\u9002\u611f\u4e5f\u4f1a\u5e26\u6765\u52a8\u529b\uff0c\u4e0d\u7136\uff0c\u6709\u4e9b\u5de5\u4f5c\u53ef\u80fd\u4f1a\u7531\u4e8e\u6ca1\u6709\u5174\u81f4\u800c\u6700\u7ec8\u6401\u7f6e\u3002]<\/p>\n<p>\u54e6\uff0c\u6700\u540e\u8fd8\u6709\u4e00\u6761\uff1a\u6709\u65f6\u53c8\u9700\u8981\u53ca\u65f6\u653e\u5f03\u81ea\u5df1\u7684\u89c4\u5219\u800c\u5bb9\u8bb8\u6709\u6548\u5730\u8c03\u6574\u3002\u6bd4\u5982\u8bf4\uff0c\u5f53\u6211\u5728\u5348\u996d\u65f6\uff08\u968f\u4fbf\u6293\u4e9b\u4e1c\u897f\u5403\u5403\uff09\u4e3a\u4e0b\u5348\u7684\u5de5\u4f5c\u505a\u8ba1\u5212\u65f6,\u6709\u65f6\u4f1a\u88ab\u540c\u4e8b\u6216\u67d0\u4e2a\u8bbf\u95ee\u8005\u6240\u6253\u65ad\uff0c\u7ed3\u679c\u8981\u51fa\u53bb\u5403\u996d\u3002\u7ed3\u679c\u5e38\u5e38\u53d1\u751f\u7684\u60c5\u51b5\u662f\uff0c\u5728\u8fd9\u987f\u996d\u4e0a\u6211\u5f97\u5230\u7684\u6bd4\u5728\u529e\u516c\u5ba4\u4e2d\u66f4\u591a\u66f4\u597d\uff08\u5728\u6570\u5b66\u4e0a\u6216\u8005\u5728\u5176\u4ed6\u65b9\u9762\uff09\uff0c\u5c3d\u7ba1\u4e0d\u662f\u6309\u6211\u4e8b\u5148\u6240\u9884\u6599\u7684\u65b9\u5f0f\u3002\u800c\u4e14\u8fd9\u4e2a\u8fc7\u7a0b\u5e38\u5e38\u66f4\u4ee4\u4eba\u6109\u5feb (\u6709\u65f6\u5019\uff0c\u8131\u79bb\u4f1a\u8bae\u8bb2\u5ea7\u751a\u81f3\u8131\u79bb\u4f1a\u8bae\u672c\u8eab\u53bb\u505a\u81ea\u5df1\u7684\u8bba\u6587\u4e5f\u4f1a\u6709\u76f8\u540c\u6548\u679c).<\/p>\n<blockquote><p>Written with <a href=\"http:\/\/benweet.github.io\/stackedit\/\">StackEdit<\/a>.<\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>\\title{\u6211\u5982\u4f55\u5b89\u6392\u65f6\u95f4} \\author{\u9676\u54f2\u8f69 \u7ffb\u8bd1: X.-C., L &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/lttt.vanabel.cn\/?p=301\"> <span class=\"screen-reader-text\">[\u8f6c\u8f7d]\u9676\u54f2\u8f69:\u6211\u662f\u5982\u4f55\u5b89\u6392\u65f6\u95f4\u7684<\/span> \u9605\u8bfb\u66f4\u591a &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[105,781,470],"class_list":["post-301","post","type-post","status-publish","format-standard","hentry","category-net","tag-105","tag-781","tag-470"],"_links":{"self":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/301","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=301"}],"version-history":[{"count":0,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/301\/revisions"}],"wp:attachment":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=301"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=301"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=301"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}