{"id":1913,"date":"2025-10-20T11:01:37","date_gmt":"2025-10-20T03:01:37","guid":{"rendered":"http:\/\/www.applicationsofllm.com\/?p=1913"},"modified":"2025-10-20T11:01:37","modified_gmt":"2025-10-20T03:01:37","slug":"%e9%bb%91%e6%b4%9e%e9%9a%be%e9%a2%98%e4%b8%8d%e5%86%8d%e9%9a%be%ef%bc%81gpt-5-pro-%e5%8d%8a%e5%b0%8f%e6%97%b6%e8%b7%91%e5%ae%8c%e4%ba%ba%e7%b1%bb%e6%95%b0%e5%a4%a9%e8%ae%a1%e7%ae%97","status":"publish","type":"post","link":"http:\/\/www.applicationsofllm.com\/index.php\/2025\/10\/20\/%e9%bb%91%e6%b4%9e%e9%9a%be%e9%a2%98%e4%b8%8d%e5%86%8d%e9%9a%be%ef%bc%81gpt-5-pro-%e5%8d%8a%e5%b0%8f%e6%97%b6%e8%b7%91%e5%ae%8c%e4%ba%ba%e7%b1%bb%e6%95%b0%e5%a4%a9%e8%ae%a1%e7%ae%97\/","title":{"rendered":"\u9ed1\u6d1e\u96be\u9898\u4e0d\u518d\u96be\uff01GPT-5 Pro \u534a\u5c0f\u65f6\u8dd1\u5b8c\u4eba\u7c7b\u6570\u5929\u8ba1\u7b97"},"content":{"rendered":"\n<p>GPT-5 Pro\u771f\u6b63\u5b9e\u529b\u663e\u73b0\u4e86\uff01\u8fd9\u4e00\u6b21\uff0c\u5b83\u53c8\u5728\u9ed1\u6d1e\u9886\u57df\uff0c\u4ec5\u534a\u5c0f\u65f6\u89e3\u51b3\u4e86\u56f0\u6270\u9876\u7ea7\u7269\u7406\u5b66\u5bb6\u7684\u7406\u8bba\u96be\u9898\u3002\u590d\u73b0\u7ed3\u679c\uff0c\u582a\u79f0AlphaGo\u300c\u795e\u4e4b\u4e00\u624b\u300d\u65f6\u523b\u3002<\/p>\n\n\n\n<p>OpenAI\u771f\u7684\u8981\u653e\u5927\u62db\u4e86\uff01<\/p>\n\n\n\n<p>\u4eca\u5929\uff0c\u9ed1\u6d1e\u7406\u8bba\u7269\u7406\u5b66\u5bb6Alex Lupsasca\u5b98\u5ba3\u5165\u804c\uff0c\u6b63\u5f0f\u6210\u4e3aOpenAI\u65b0\u6210\u7acb\u7684\u300c\u79d1\u5b66\u56e2\u961f\u300d\u7684\u4e00\u5458\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"831\" height=\"204\" src=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-47.jpeg\" alt=\"\" class=\"wp-image-1915\" srcset=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-47.jpeg 831w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-47-300x74.jpeg 300w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-47-768x189.jpeg 768w\" sizes=\"auto, (max-width: 831px) 100vw, 831px\" \/><\/figure>\n\n\n\n<p>\u66fe\u7ecf\uff0cAlex\u4e00\u76f4\u8ba4\u4e3aAI\u79bb\u79d1\u7814\u524d\u6cbf\u9065\u4e0d\u53ef\u53ca\uff0c\u76f4\u5230\u4ed6\u4eb2\u773c\u89c1\u8bc1\u4e86GPT-5 Pro\u7684\u60ca\u4eba\u80fd\u529b\u2014\u2014<\/p>\n\n\n\n<p>\u5b83\u5728\u77ed\u77ed30\u5206\u949f\u5185\uff0c\u7adf\u7834\u89e3\u4e86\u56f0\u6270Alex\u6570\u65e5\u7684\u300c\u9ed1\u6d1e\u5fae\u6270\u300d\u7406\u8bba\u96be\u9898\uff01<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"622\" height=\"1024\" src=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-50-622x1024.jpeg\" alt=\"\" class=\"wp-image-1918\" srcset=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-50-622x1024.jpeg 622w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-50-182x300.jpeg 182w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-50-768x1265.jpeg 768w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-50.jpeg 797w\" sizes=\"auto, (max-width: 622px) 100vw, 622px\" \/><\/figure>\n\n\n\n<p>OpenAI\u9996\u5e2d\u7814\u7a76\u5b98Mark Chen\u751a\u81f3\u8868\u793a\uff0c\u300cGPT-5\u590d\u73b0\u7684\u7ed3\u679c\uff0c\u8ba9\u6211\u4eec\u60f3\u8d77\u4e86AlphaGo\u795e\u4e4b\u4e00\u624b\u7684\u65f6\u523b\u300d\u3002<\/p>\n\n\n\n<p>\u5b9e\u8bdd\u8bb2\uff0c\u60f3\u8981\u6210\u4e3a\u4e16\u754c\u9876\u5c16\u68cb\u624b\uff0c\u4e0d\u7814\u7a76AI\u51e0\u4e4e\u4e0d\u53ef\u80fd\u3002<\/p>\n\n\n\n<p>\u4ed6\u76f8\u4fe1\uff0c\u4e0d\u4e45\u7684\u5c06\u6765\uff0c\u5b66\u672f\u7814\u7a76\u4e5f\u4f1a\u5982\u6b64\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"831\" height=\"210\" src=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-49.jpeg\" alt=\"\" class=\"wp-image-1917\" srcset=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-49.jpeg 831w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-49-300x76.jpeg 300w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-49-768x194.jpeg 768w\" sizes=\"auto, (max-width: 831px) 100vw, 831px\" \/><\/figure>\n\n\n\n<p>OpenAI\u603b\u88c1Greg\u7b49\u4eba\u7eb7\u7eb7\u795d\u8d3aAlex\u7684\u52a0\u5165<\/p>\n\n\n\n<p>\u5982\u4eca\uff0c\u4ece\u6570\u5b66\uff0c\u5230\u5929\u6587\u5b66\u3001\u91cf\u5b50\uff0c\u518d\u5230\u7269\u7406\u5b66\uff0cGPT-5\u6b63\u91cd\u65b0\u5b9a\u4e49\u79d1\u5b66\u53d1\u73b0\u7684\u8fb9\u754c\uff0c<\/p>\n\n\n\n<p>\u8fd9\u6b21\uff0c\u6765\u770b\u4e00\u770bGPT-5 Pro\u5982\u4f55\u5728\u9ed1\u6d1e\u7814\u7a76\u4e2d\u5927\u663e\u8eab\u624b\u3002<\/p>\n\n\n\n<p><strong>\u9ed1\u6d1e\u4e4b\u8c1c\uff0cGPT-5\u534a\u5c0f\u65f6\u653b\u7834<\/strong><\/p>\n\n\n\n<p>\u4eca\u5e74\u590f\u5929\uff0cAlex Lupsasca\u5b8c\u6210\u4e86\u4e00\u7bc7\u5173\u4e8e\u300c\u9ed1\u6d1e\u5fae\u6270\u300d\u7406\u8bba\u4e2d\uff0c\u65b0\u578b\u5bf9\u79f0\u6027\u7684\u8bba\u6587\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"831\" height=\"164\" src=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-46.jpeg\" alt=\"\" class=\"wp-image-1914\" srcset=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-46.jpeg 831w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-46-300x59.jpeg 300w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-46-768x152.jpeg 768w\" sizes=\"auto, (max-width: 831px) 100vw, 831px\" \/><\/figure>\n\n\n\n<p>\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/arxiv.org\/abs\/2506.05298<\/p>\n\n\n\n<p>\u8bb2\u4e2a\u51b7\u77e5\u8bc6\uff0c\u9898\u76ee\u4e0d\u662f\u8bf4\u300c\u9ed1\u6d1e\u6ca1\u6709\u7231\u300d\uff0c\u800c\u662f\u6ca1\u6709\u300c\u6f6e\u6c50\u5f62\u53d8\u300d\uff0c\u56e0Love numbers\u4e3a0\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"750\" height=\"816\" src=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-51.jpeg\" alt=\"\" class=\"wp-image-1919\" srcset=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-51.jpeg 750w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-51-276x300.jpeg 276w\" sizes=\"auto, (max-width: 750px) 100vw, 750px\" \/><\/figure>\n\n\n\n<p>Love numbers\u4ee5\u82f1\u56fd\u7269\u7406\u5b66\u5bb6A.E.H. Love\u547d\u540d<\/p>\n\n\n\n<p>\u4ee5\u524d\uff0c\u79d1\u5b66\u5bb6\u4eec\u90fd\u77e5\u9053\u9ed1\u6d1eLove numbers\u4e3a\u96f6\uff0c\u4e5f\u5c31\u662f\u8bf4\u2014\u2014\u9ed1\u6d1e\u5bf9\u5916\u754c\u6f6e\u6c50\u4f5c\u7528\u300c\u5b8c\u5168\u65e0\u611f\u300d\u3002<\/p>\n\n\n\n<p>\u4f46\u7a76\u7adf\u662f\u4ec0\u4e48\u539f\u56e0\uff0c\u65e0\u4ece\u5f97\u77e5\u3002\u800c\u8fd9\u7bc7\u8bba\u6587\uff0c\u7ed9\u51fa\u4e86\u4e00\u4e2a\u5f88\u6df1\u7684\u6570\u5b66\u89e3\u91ca\uff1a<\/p>\n\n\n\n<p>\u9ed1\u6d1e\u5185\u90e8\u7684\u5f15\u529b\u573a\u65b9\u7a0b\uff0c\u6709\u4e00\u4e2a\u300c\u9690\u85cf\u7684\u5bf9\u79f0\u6027\u300d\u3002<\/p>\n\n\n\n<p>\u8bba\u6587\u4e2d\uff0cAlex\u60f3\u8981\u53bb\u8bc1\u660e\u8fd9\u4e00\u89c2\u70b9\uff0c\u5373\u56e0\u4e3a\u9ed1\u6d1e\u662f\u5b8c\u7f8e\u7684\u5bf9\u79f0\u4f53\uff0c\u6240\u4ee5\u4e0d\u4f1a\u88ab\u5b87\u5b99\u7684\u4efb\u4f55\u300c\u5916\u529b\u300d\u6240\u6539\u53d8\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"831\" height=\"758\" src=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-48.jpeg\" alt=\"\" class=\"wp-image-1916\" srcset=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-48.jpeg 831w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-48-300x274.jpeg 300w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-48-768x701.jpeg 768w\" sizes=\"auto, (max-width: 831px) 100vw, 831px\" \/><\/figure>\n\n\n\n<p>\u4e00\u65e6\u8fd9\u4e9b\u5bf9\u79f0\u6027\u88ab\u786e\u8ba4\uff0c\u63ed\u793a\u5176\u7269\u7406\u610f\u4e49\u76f8\u5bf9\u5bb9\u6613\uff0c\u4f46\u96be\u70b9\u5728\u4e8e\u627e\u5230\u5b83\u4eec\u7684\u7cbe\u786e\u5f62\u5f0f\uff0c\u751a\u81f3\u8981\u786e\u5b9a\u5176\u662f\u5426\u5b58\u5728\u3002<\/p>\n\n\n\n<p>\u5177\u4f53\u6765\u8bf4\uff0c\u4ed6\u63d0\u51fa\u4e86\u4e00\u4e2a\u5168\u5c40\u5171\u5f62\u5bf9\u79f0\u6027\uff08SL(2,R)\uff09\uff0c\u5b83\u5b58\u5728\u4e8e\u9759\u6001\u8f74\u5bf9\u79f0\u7684\u300c\u514b\u5c14\u300d\uff08Kerr\uff09\u9ed1\u6d1e\u5fae\u6270\u4e2d\u3002<\/p>\n\n\n\n<p>\u8fd9\u79cd\u5bf9\u79f0\u6027\uff0c\u5bf9\u4e0d\u662f\u51e0\u4f55\uff08\u975e\u7b49\u8ddd\u53d8\u6362\uff09\u610f\u4e49\u4e0a\u7684\uff0c\u4f46\u5374\u5b8c\u5168\u7cbe\u786e\uff0c\u53ef\u4ee5\u6620\u5c04\u4e0d\u540c\u89e3\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/p>\n\n\n\n<p><strong>\u300c\u795e\u4e4b\u4e00\u624b\u300d\u65f6\u523b\u518d\u73b0<\/strong><\/p>\n\n\n\n<p>\u4e3a\u6b64\uff0cAlex\u63d0\u51fa\u4e86\u4e09\u7c7b\u300c\u5bf9\u79f0\u751f\u6210\u5143\u300d\u4e0e\u5bf9\u5e94\u89e3\u65cf\uff08\u516c\u5f0f7\uff09\u2014\u2014\u751f\u6210\u5143\u7684\u6570\u5b66\u8868\u8fbe\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"831\" height=\"231\" src=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-52.jpeg\" alt=\"\" class=\"wp-image-1920\" srcset=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-52.jpeg 831w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-52-300x83.jpeg 300w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-52-768x213.jpeg 768w\" sizes=\"auto, (max-width: 831px) 100vw, 831px\" \/><\/figure>\n\n\n\n<p>\u5c31\u8fd9\u4e00\u4e2a\u590d\u6742\u7684\u516c\u5f0f\uff0c\u8017\u8d39\u4e86\u4ed6\u6570\u65e5\u7684\u65f6\u95f4\uff0c\u57cb\u5934\u5728\u6210\u5806\u7684\u8ba1\u7b97\u548c\u53cd\u590d\u9a8c\u8bc1\u4e2d\u3002<\/p>\n\n\n\n<p>\u7136\u800c\uff0c\u5f53Alex\u5c06\u540c\u6837\u7684\u95ee\u9898\u4ea4\u7ed9GPT-5 Pro\u65f6\uff0c\u5947\u8ff9\u53d1\u751f\u4e86\u3002<\/p>\n\n\n\n<p>\u5728\u77ed\u77ed30\u5206\u949f\u5185\uff0c\u4ed6\u4e0d\u4ec5\u590d\u73b0\u4e86\u8bba\u6587\u7814\u7a76\u4e2d\u8fd9\u4e00\u6210\u679c\uff0c\u8fd8\u7ed9\u51fa\u4e86\u4e00\u81f4\u7684\u6570\u5b66\u8868\u8fbe\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"197\" height=\"1024\" src=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-53-197x1024.jpeg\" alt=\"\" class=\"wp-image-1921\" srcset=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-53-197x1024.jpeg 197w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-53-58x300.jpeg 58w\" sizes=\"auto, (max-width: 197px) 100vw, 197px\" \/><\/figure>\n\n\n\n<p>\u5bf9\u8bdd\u5168\u6587\uff1ahttps:\/\/chatgpt.com\/share\/68b006eb-ee0c-8005-903f-bf92065d7e03\uff08\u4e0a\u4e0b\u6ed1\u52a8\u67e5\u770b\uff09<\/p>\n\n\n\n<p>\u5728ChatGPT\u63a8\u5bfc\u8fc7\u7a0b\u4e2d\uff0c\u4e0e\u8bba\u6587\u5728\u7269\u7406\u5185\u6838\u4e0a\u5bf9\u9f50\u3002<\/p>\n\n\n\n<p>\u5b83\u628a\u9759\u6001\u8f74\u5bf9\u79f0\u7684\u65b9\u7a0b\u7b49\u4ef7\u4e3a\u300c\u8f74\u5bf9\u79f0\u62c9\u666e\u62c9\u65af\u65b9\u7a0b\u300d\uff0c\u5e76\u7ed9\u51fa\u4e09\u79cd\u751f\u6210\u5143\u7ec4\u6210\u7684SL(2, R)\uff0c\u5373\u6cbf\u8f74\u5e73\u79fb\u3001\u5c3a\u5ea6\u53d8\u6362\u3001\u8f74\u5411\u7279\u6b8a\u5171\u5f62\u3002<\/p>\n\n\n\n<p>Alex Lupsasca\u8868\u793a\uff0cGPT-5 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src=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-54.jpeg\" alt=\"\" class=\"wp-image-1922\" srcset=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-54.jpeg 831w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-54-300x70.jpeg 300w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/10\/image-54-768x179.jpeg 768w\" sizes=\"auto, (max-width: 831px) 100vw, 831px\" \/><\/figure>\n\n\n\n<p><strong>OpenAI\u79d1\u5b66\u56e2\u961f\uff0c\u8fce\u9996\u4f4d\u7814\u7a76\u5927\u4f6c<\/strong><\/p>\n\n\n\n<p>\u5728OpenAI\u5185\u90e8\uff0c\u4e0a\u4e2a\u6708\uff0c\u79d1\u5b66\u526f\u603b\u88c1Kevin Weil\u6b63\u5f0f\u542f\u52a8\u4e86\u4e00\u4e2a\u5168\u65b0\u9879\u76ee\u300cOpenAI for Science\u300d\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"831\" height=\"205\" 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