{"id":34388,"date":"2024-12-05T14:56:28","date_gmt":"2024-12-05T06:56:28","guid":{"rendered":"https:\/\/17aitech.com\/?p=34388"},"modified":"2024-12-05T14:56:28","modified_gmt":"2024-12-05T06:56:28","slug":"ai%e5%8a%a9%e6%94%bb%e3%80%8c%e8%8f%9c%e9%b8%9f%e6%95%b0%e5%ad%a6%e5%ae%b6%e3%80%8d%e8%a7%a3%e5%86%b3%e5%bf%99%e7%a2%8c%e6%b5%b7%e7%8b%b8%e9%97%ae%e9%a2%98%ef%bc%8c%e9%99%b6%e5%93%b2%e8%bd%a9%e8%bd%ac","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=34388","title":{"rendered":"AI\u52a9\u653b\u300c\u83dc\u9e1f\u6570\u5b66\u5bb6\u300d\u89e3\u51b3\u5fd9\u788c\u6d77\u72f8\u95ee\u9898\uff0c\u9676\u54f2\u8f69\u8f6c\u53d1\u5206\u4eab"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2024-07-04-10\" target=\"_blank\">AI\u52a9\u653b\u300c\u83dc\u9e1f\u6570\u5b66\u5bb6\u300d\u89e3\u51b3\u5fd9\u788c\u6d77\u72f8\u95ee\u9898\uff0c\u9676\u54f2\u8f69\u8f6c\u53d1\u5206\u4eab<\/a><\/p>\n<blockquote data-author-name=\"\" data-content-utf8-length=\"23\" data-source-title=\"\" data-type=\"2\" data-url=\"\">\n<section>\n<p>\u5728 AI \u7684\u5e2e\u52a9\u4e0b\uff0c\u8d8a\u6765\u8d8a\u591a\u7684\u6570\u5b66\u95ee\u9898\u5f97\u5230\u4e86\u89e3\u51b3\u3002<\/p>\n<\/section>\n<\/blockquote>\n<section><\/section>\n<section>AI\u5728\u6570\u5b66\u9886\u57df\u7684\u5e94\u7528\u5bf9\u5927\u5bb6\u6765\u8bf4\u5e76\u4e0d\u964c\u751f\u4e86\u3002\u6570\u5b66\u5bb6\u9676\u54f2\u8f69\u4f5c\u4e3a\u5021\u5bfc\u8005\uff0c\u4e00\u76f4\u8d70\u5728\u4f7f\u7528AI\u8f85\u52a9\u8bc1\u660e\u7684\u524d\u6cbf\u3002\u4ed6\u5021\u5bfc\u4f7f\u7528\u50cfLean\u548cCoq\u8fd9\u6837\u7684\u8bc1\u660e\u52a9\u624b\u5de5\u5177\u3002\u8fd9\u4e9b\u5de5\u5177\u53ef\u4ee5\u5f62\u5f0f\u5316\u548c\u9a8c\u8bc1\u590d\u6742\u7684\u6570\u5b66\u8bc1\u660e\uff0c\u51cf\u5c11\u4eba\u4e3a\u9519\u8bef\u7684\u53ef\u80fd\u6027\u3002\u4e5f\u6709\u4e0d\u5c11\u6570\u5b66\u5bb6\u5728\u4ed6\u7684\u542f\u53d1\u4e0b\u6709\u4e86\u65b0\u6210\u679c\uff0c\u4f8b\u5982\u5229\u7528AI\u5f62\u5f0f\u5316\u8d39\u9a6c\u5927\u5b9a\u7406\u7684\u8bc1\u660e\u3002\u4ed6\u53c2\u4e0e\u4e86\u7531Talia Ringer\u53d1\u8d77\u7684AI\u5728\u6570\u5b66\u4e2d\u8d44\u6e90\u5217\u8868\u7684\u63a8\u5e7f\u548c\u7f16\u8f91\u5de5\u4f5c\u3002\u8fd9\u4e2a\u8d44\u6e90\u5217\u8868\u4e13\u6ce8\u4e8e AI for Math\uff0c\u4e3a\u90a3\u4e9b\u5e0c\u671b\u8fdb\u5165\u6570\u5b66 AI \u9886\u57df\u7684\u4eba\u63d0\u4f9b\u5e2e\u52a9\u3002<\/section>\n<section><\/section>\n<section>\u9676\u54f2\u8f69\u5728\u63a8\u8fdb\u9879\u76ee\u7814\u7a76\u8fdb\u5c55\u7684\u540c\u65f6\uff0c\u8fd8\u8bd5\u7740\u5b66\u4e60\u5982\u4f55\u521b\u5efa\u52a8\u753b\u56fe\u8868\uff0c\u4ed6\u51b3\u5b9a\u5bf9\u96f6\u5bc6\u5ea6\u4f30\u8ba1\u8fdb\u884c\u6587\u732e\u56de\u987e \u3002\u4ed6\u8bb2\u5230\uff0c\u81ea\u5df1\u4e00\u76f4\u5f88\u597d\u5947\u4e3a\u4ec0\u4e48\u6ca1\u6709\u4e00\u4efd\u5168\u9762\u7684\u7efc\u8ff0\u6765\u6db5\u76d6\u8fd9\u4e9b\u5e74\u6765\u5efa\u7acb\u7684\u6240\u6709\u96f6\u5bc6\u5ea6\u5b9a\u7406\uff0c\u73b0\u5728\u4ed6\u6e05\u695a\u4e86\uff0c\u662f\u56e0\u4e3a\u6587\u732e\u592a\u8fc7\u590d\u6742\uff0c\u5c24\u5176\u57283\/4\u2264\u03c3\uff1c1\u7684\u8fd9\u4e2a\u8303\u56f4\uff0c \u4f7f\u7528\u4e86\u591a\u79cd\u65b9\u6cd5\u3002\u754c\u9650\u901a\u5e38\u662f\u9010\u6bb5\u7684\uff0c\u4e3b\u8981\u662f\u56e0\u4e3a\u8fd9\u4e9b\u65b9\u6cd5\u4f9d\u8d56\u4e8e\u63a7\u5236\u6574\u6570\u77e9\u800c\u4e0d\u662f\u5206\u6570\u77e9\u3002\u7136\u800c\uff0c\u8fd9\u4e9b\u754c\u9650\u867d\u7136\u4ee5\u4eba\u7c7b\u53ef\u8bfb\u5f62\u5f0f\u9648\u8ff0\u65f6\u663e\u5f97\u6742\u4e71\uff0c\u4f46\u5bf9\u8ba1\u7b97\u673a\u6765\u8bf4\u5374\u5f88\u5bb9\u6613\u5904\u7406\u3002\u00a0<\/section>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/07\/frc-955f5238f9cb43b537df701c8fa0e0e2.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/07\/frc-955f5238f9cb43b537df701c8fa0e0e2.png\"><\/a><\/p>\n<section>\u9676\u54f2\u8f69\u5c06\u6240\u6709\u7684\u754c\u9650\u6c47\u603b\u5230\u4e00\u4e2aPython\u6587\u4ef6\u4e2d\uff0c\u5e76\u7528\u5b83\u521b\u5efa\u4e86\u9644\u5e26\u7684\u52a8\u753b\u3002\u00a0<\/section>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/07\/frc-c367424594bbcbdc1ef14d1ac62fab10.gif\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/07\/frc-c367424594bbcbdc1ef14d1ac62fab10.gif\"><\/a><\/p>\n<section>\u5728\u8fd9\u4e00\u535a\u5ba2\u7684\u8bc4\u8bba\u4e2d\uff0c\u9676\u54f2\u8f69\u8865\u5145\u9053\uff1a<\/section>\n<section><\/section>\n<blockquote data-author-name=\"\" data-content-utf8-length=\"199\" data-source-title=\"\" data-type=\"2\" data-url=\"\">\n<section>\n<section>\u4e0d\u5f97\u4e0d\u8bf4\uff0c\u6211\u786e\u5b9e\u4f7f\u7528\u4e86\u4e00\u4e9bAI\u8f85\u52a9\u6765\u5e2e\u52a9\u7f16\u5199\u4ee3\u7801\u3002\u5728\u67d0\u79cd\u7a0b\u5ea6\u4e0a\uff0c\u6211\u5c06AI\u8f85\u52a9\u89c6\u4e3a\u4e00\u79cd\u5fc3\u7406\u652f\u6301\u2014\u2014\u5f53\u6211\u77e5\u9053\u9664\u4e86\u4f20\u7edf\u7684\u8c03\u8bd5\u548c\u641c\u7d22\u65b9\u6cd5\u5916\uff0c\u8fd8\u6709AI\u5de5\u5177\u53ef\u4ee5\u63d0\u4f9b\u521d\u59cb\u4ee3\u7801\u5e76\u81ea\u52a8\u5b8c\u6210\u90e8\u5206\u4ee3\u7801\u65f6\uff0c\u66f4\u5bb9\u6613\u8bf4\u670d\u81ea\u5df1\u82b1\u65f6\u95f4\u7f16\u7a0b\u3002\u4e0d\u8fc7\uff0c\u6211\u53d1\u73b0\u8fd9\u4e9b\u5de5\u5177\u5728\u8c03\u8bd5\u65b9\u9762\u5e76\u4e0d\u662f\u7279\u522b\u6709\u7528\u3002\u4e0d\u8fc7\uff0cGPT\u80fd\u591f\u5feb\u901f\u521b\u5efa\u4e00\u4e2a\u7b80\u5355\u7684\u52a8\u753b\u6d4b\u8bd5\u51fd\u6570\uff0c\u5e76\u4e14\u5728\u7b2c\u4e00\u6b21\u5c1d\u8bd5\u65f6\u5c31\u6210\u529f\u7f16\u8bd1\u4e86\u3002\u5c3d\u7ba1\u5982\u6b64\uff0c\u6211\u4ecd\u82b1\u4e86\u5927\u90e8\u5206\u65f6\u95f4\u6765\u8c03\u6574\u548c\u8c03\u8bd5\uff0c\u624d\u5f97\u5230\u4e86\u6211\u60f3\u8981\u7684\u52a8\u753b\u3002<\/section>\n<\/section>\n<\/blockquote>\n<section><\/section>\n<section>\u663e\u7136\uff0c\u8fd9\u6b21\u5c1d\u8bd5\u7684\u7ed3\u679c\u8fd8\u4e0d\u9519\u3002\u540e\u7eed\u9676\u54f2\u8f69\u8fd8\u8f6c\u53d1\u4e86\u4e00\u7bc7\u6587\u7ae0\uff0c\u751f\u52a8\u5730\u5c55\u793a\u4e86\u6570\u5b66\u667a\u80fd\u52a9\u624b\u5982\u4f55\u5e2e\u52a9\u4e00\u7fa4\u300c\u83dc\u9e1f\u6570\u5b66\u5bb6\u300d\u89e3\u51b3\u4e86\u6570\u5b66\u754c\u6700\u96be\u89e3\u7684\u95ee\u9898\u3002<\/section>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/07\/frc-8023bd73d3556f848033735550b1414a.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/07\/frc-8023bd73d3556f848033735550b1414a.png\"><\/a><\/p>\n<section>\u539f\u6587\u94fe\u63a5\uff1ahttps:\/\/www.quantamagazine.org\/amateur-mathematicians-find-fifth-busy-beaver-turing-machine-20240702\/<\/section>\n<section><\/section>\n<section>\u7a0b\u5e8f\u5458\u901a\u5e38\u5e0c\u671b\u6700\u5927\u7a0b\u5ea6\u51cf\u5c11\u4ee3\u7801\u8fd0\u884c\u6240\u9700\u8981\u7684\u65f6\u95f4\uff0c\u5fd9\u788c\u6d77\u72f8\u51fd\u6570\uff08BB(n\uff09\uff09\u8fd9\u4e2a\u8ba1\u7b97\u673a\u79d1\u5b66\u4e2d\u7684\u7ecf\u5178\u95ee\u9898\u5374\u5728\u63a2\u5bfb\uff0c\u4e00\u4e2a\u7b80\u5355\u7684\u8ba1\u7b97\u673a\u7a0b\u5e8f\u5728\u7ec8\u6b62\u4e4b\u524d\u53ef\u4ee5\u8fd0\u884c\u591a\u957f\u65f6\u95f4\uff0c\u5373<mark data-type=\"concepts\" data-id=\"8392f007-d345-459f-8c12-f2e697f5d120\">\u56fe\u7075\u673a<\/mark>\u5728\u7279\u5b9a\u72b6\u6001\u548c\u7b26\u53f7\u6570\u91cf\u9650\u5236\u4e0b\u6240\u80fd\u8fbe\u5230\u7684\u6700\u5927\u8fd0\u884c\u6b65\u6570\u3002\u00a0<\/section>\n<section><\/section>\n<section>\u6700\u8fd1\u7684\u7814\u7a76\u8868\u660e\uff0c\u5bfb\u627e\u957f\u65f6\u95f4\u8fd0\u884c\u7684\u8ba1\u7b97\u673a\u7a0b\u5e8f\u53ef\u4ee5\u63ed\u793a\u6570\u5b66\u77e5\u8bc6\u7684\u73b0\u72b6\uff0c\u751a\u81f3\u544a\u8bc9\u6211\u4eec\u54ea\u4e9b\u662f\u53ef\u77e5\u7684\u3002\u5fd9\u788c\u6d77\u72f8\u6e38\u620f\u4e3a\u8bc4\u4f30\u67d0\u4e9b\u95ee\u9898\u7684\u96be\u5ea6\u63d0\u4f9b\u4e86\u4e00\u4e2a\u5177\u4f53\u7684<mark data-type=\"concepts\" data-id=\"308c3a45-0fee-4ec6-858e-85b15f440fc0\">\u57fa\u51c6<\/mark>\uff0c\u4f8b\u5982\u672a\u89e3\u51b3\u7684\u54e5\u5fb7\u5df4\u8d6b\u731c\u60f3\u548c\u9ece\u66fc\u5047\u8bbe\u3002\u5b83\u751a\u81f3\u63d0\u4f9b\u4e86\u4e00\u4e2a\u63a2\u7d22\u6570\u5b66<mark data-type=\"concepts\" data-id=\"95a97f4b-79d2-4bbc-91ae-300f074dff9f\">\u903b\u8f91<\/mark>\u8ba1\u7b97\u6781\u9650\u7684\u89c6\u89d2\u3002\u00a0<\/section>\n<section><\/section>\n<section>\u90a3\u8981\u600e\u4e48\u7406\u89e3\u5fd9\u788c\u6d77\u72f8\u51fd\u6570\u5462\uff1f\u60f3\u8c61\u4e00\u4e2a\u5c0f\u673a\u5668\u4eba(<mark data-type=\"concepts\" data-id=\"8392f007-d345-459f-8c12-f2e697f5d120\">\u56fe\u7075\u673a<\/mark>)\uff0c\u5b83\u6709\u4e00\u5957\u6307\u4ee4(\u5bf9\u5e94<mark data-type=\"concepts\" data-id=\"8392f007-d345-459f-8c12-f2e697f5d120\">\u56fe\u7075\u673a<\/mark>\u7684\u72b6\u6001)\uff0c\u53ef\u4ee5\u5728\u4e00\u6761\u65e0\u9650\u957f\u7684\u7eb8\u5e26\u4e0a\u79fb\u52a8\u548c\u5199\u5b57\u3002\u7eb8\u5e26\u6700\u5f00\u59cb\u662f\u7a7a\u767d\u7684\u3002\u8fd9\u4e2a\u673a\u5668\u4eba\u7684\u76ee\u6807\u662f\u5c3d\u53ef\u80fd\u591a\u5730\u5728\u7eb8\u5e26\u4e0a\u5199\u5b57\uff0c\u7136\u540e\u505c\u4e0b\u6765\u3002\u5fd9\u788c\u6d77\u72f8\u95ee\u9898\u5c31\u662f\u8981\u627e\u5230\u8fd9\u6837\u7684\u673a\u5668\u4eba\uff0c\u5728\u7ed9\u5b9a\u72b6\u6001\u6570\u91cf\u4e0b\u53ef\u4ee5\u5199\u6700\u591a\u5b57\u7684\u60c5\u51b5\u3002<\/section>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/07\/frc-ad3b786851ec51abb7fa9415b7cc6f11.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/07\/frc-ad3b786851ec51abb7fa9415b7cc6f11.png\"><\/a><\/p>\n<section><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u7531ChatGPT-4o\u751f\u6210<\/sup><\/em><\/section>\n<section><\/section>\n<section>\u8fd9\u4e2a\u95ee\u9898\u7531\u5308\u7259\u5229\u88d4\u6570\u5b66\u5bb6\u8482\u535a\u5c14\u00b7\u62c9\u591a\uff08Tibor Rad\u00f3\uff09\u57281962\u5e74\u63d0\u51fa\uff0c\u7531\u4e8e\u5176\u590d\u6742\u6027\u548c\u9012\u589e\u7684\u8ba1\u7b97\u9700\u6c42\uff0c\u5fd9\u788c\u6d77\u72f8\u51fd\u6570\uff08BB(n)\uff09\u7684\u503c\u5728n\u8f83\u5c0f\u65f6\u53ef\u4ee5\u786e\u5b9a\uff0c\u4f46\u968f\u7740n\u7684\u589e\u52a0\uff0c\u95ee\u9898\u53d8\u5f97\u6781\u5176\u56f0\u96be\uff0c\u76ee\u524d\u53ea\u6709\u524d\u51e0\u4e2aBB(n)\u503c\u88ab\u786e\u5b9a\u3002<\/section>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/07\/frc-d6e5b467d3c4221f3a3e25f829c83e48.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/07\/frc-d6e5b467d3c4221f3a3e25f829c83e48.png\"><\/a><\/p>\n<section><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 1962\u5e74\uff0c\u8482\u535a\u5c14\u00b7\u62c9\u591a\u91cd\u65b0\u63cf\u8ff0\u4e86\u5173\u4e8e<mark data-type=\"concepts\" data-id=\"8392f007-d345-459f-8c12-f2e697f5d120\">\u56fe\u7075\u673a<\/mark>\u884c\u4e3a\u7684\u8457\u540d\u4e0d\u53ef\u89e3\u95ee\u9898\uff0c\u63d0\u51fa\u4e86\u5fd9\u788c\u6d77\u72f8\u6311\u6218\u3002<\/sup><\/em><\/section>\n<section><\/section>\n<section>\u5355\u89c4\u5219\u7684\u60c5\u51b5\u5f88\u7b80\u5355\uff0c\u56e0\u4e3a\u5b9e\u9645\u4e0a\u53ea\u6709\u4e24\u79cd\u53ef\u80fd\u6027\u3002\u5982\u679c\u89c4\u5219\u89c4\u5b9a<mark data-type=\"concepts\" data-id=\"8392f007-d345-459f-8c12-f2e697f5d120\">\u56fe\u7075\u673a<\/mark>\u5728\u770b\u5230 0 \u65f6\u505c\u6b62\u8ba1\u7b97\uff0c\u5b83\u5c06\u5728\u7b2c\u4e00\u6b65\u505c\u6b62\u3002\u6709\u4e86\u4e24\u6761\u89c4\u5219\uff0c\u5c31\u6709\u8d85\u8fc7 6,000 \u4e2a\u4e0d\u540c\u7684<mark data-type=\"concepts\" data-id=\"8392f007-d345-459f-8c12-f2e697f5d120\">\u56fe\u7075\u673a<\/mark>\u9700\u8981\u8003\u8651\uff1b\u6709\u4e86\u4e09\u6761\u89c4\u5219\uff0c\u8fd9\u4e2a\u6570\u5b57\u5c31\u4f1a\u81a8\u80c0\u5230\u6570\u767e\u4e07\uff0c\u6709\u4e86\u56db\u6761\u89c4\u5219\uff0c\u8fd9\u4e2a\u6570\u5b57\u5c31\u4f1a\u81a8\u80c0\u5230\u6570\u5341\u4ebf\u3002\u624b\u5de5\u8ba1\u7b97\u6240\u6709\u8fd9\u4e9b\u60c5\u51b5\u662f\u4e0d\u53ef\u80fd\u7684\u3002<\/section>\n<section><\/section>\n<section>\u8fd9\u610f\u5473\u7740\u8fd9\u4e2a\u95ee\u9898\u53ea\u80fd\u501f\u52a9\u8ba1\u7b97\u673a\u6765\u89e3\u51b3\u3002\u4e00\u4e2a\u7b80\u5355\u7684\u7a0b\u5e8f\u53ef\u4ee5\u7b97\u51fa BB(2) = 6\u3002\u4f46 BB(3) \u5df2\u7ecf\u5f88\u96be\u627e\u5230\u4e86\u3002\u800c\u66f4\u68d8\u624b\u7684\u662f\u65e0\u9650\u5faa\u73af\u95ee\u9898\u3002\u6709\u7684\u65f6\u5019<mark data-type=\"concepts\" data-id=\"8392f007-d345-459f-8c12-f2e697f5d120\">\u56fe\u7075\u673a<\/mark>\u5e76\u6ca1\u6709\u771f\u6b63\u505c\u673a\uff0c\u800c\u662f\u9677\u5165\u4e86\u65e0\u9650\u5faa\u73af\u3002\u7814\u7a76\u4eba\u5458\u9700\u8981\u627e\u5230\u4e00\u79cd\u5224\u65ad<mark data-type=\"concepts\" data-id=\"8392f007-d345-459f-8c12-f2e697f5d120\">\u56fe\u7075\u673a<\/mark>\u662f\u5426\u771f\u6b63\u505c\u673a\u7684\u5224\u65ad\u65b9\u6cd5\u3002<\/section>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/07\/frc-d8300a2ca5bbcfa9578c65a4c0143093.gif\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/07\/frc-d8300a2ca5bbcfa9578c65a4c0143093.gif\"><\/a><\/p>\n<section><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u9677\u5165\u65e0\u9650\u5faa\u73af\u7684<mark data-type=\"concepts\" data-id=\"8392f007-d345-459f-8c12-f2e697f5d120\">\u56fe\u7075\u673a<\/mark><\/sup><\/em><\/section>\n<section><\/section>\n<section>\u62c9\u591a\u63a8\u51fa\u5fd9\u788c\u6d77\u72f8\u6311\u6218\u540e\u4e0d\u4e45\uff0c\u4e00\u4e9b\u7814\u7a76\u4eba\u5458\u5c31\u5f00\u59cb\u4e86\u641c\u5bfb\u3002\u4ece1964\u5e74\u52301974\u5e74\uff0c Allen Brady\u82b1\u4e86\u5341\u5e74\uff0c\u8bc1\u51fa\u4e86BB(4) \u7684\u6570\u503c\u3002\u7814\u7a76\u542f\u52a8\u65f6\uff0c\u4ed6\u8fd8\u662f\u4fc4\u52d2\u5188\u5dde\u7acb\u5927\u5b66\u6570\u5b66\u7cfb\u7814\u7a76\u751f\uff0c\u53d1\u8868\u65f6\uff0c\u4ed6\u5df2\u7136\u6210\u4e3a\u5185\u534e\u8fbe\u5927\u5b66\u96f7\u8bfa\u5206\u6821\u7684\u8ba1\u7b97\u673a\u79d1\u5b66\u6559\u6388\u3002<\/section>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/07\/frc-2c75506660410bcad121af9287f00ed8.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/07\/frc-2c75506660410bcad121af9287f00ed8.png\"><\/a><\/p>\n<section><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Allen Brady\u5728\u6574\u4e2a 20 \u4e16\u7eaa 60 \u5e74\u4ee3\u5f00\u53d1\u4e86\u300c\u5fd9\u788c\u6d77\u72f8\u300d\u7b97\u6cd5\uff0c\u5e76\u4e8e 1974 \u5e74\u786e\u5b9a\u4e86\u7b2c\u56db\u4e2a\u5fd9\u788c\u6d77\u72f8\u51fd\u6570\u7684\u503c\u3002<\/sup><\/em><\/section>\n<section><\/section>\n<section>\u6b64\u540e40\u5e74\uff0c\u7814\u7a76\u8005\u4eec\u524d\u8d74\u540e\u7ee7\uff0c\u4f46\u59cb\u7ec8\u65e0\u6cd5\u6355\u83b7\u7b2c\u4e94\u4e2a\u5fd9\u788c\u6d77\u72f8\u51fd\u6570\u7684\u8eab\u5f71\u3002\u5982\u679c<mark data-type=\"concepts\" data-id=\"8392f007-d345-459f-8c12-f2e697f5d120\">\u56fe\u7075\u673a<\/mark>\u9700\u8981\u9075\u5b88\u4e94\u6761\u89c4\u5219\uff0c\u6f5c\u5728\u7b26\u5408\u53ef\u80fd\u7684<mark data-type=\"concepts\" data-id=\"8392f007-d345-459f-8c12-f2e697f5d120\">\u56fe\u7075\u673a<\/mark>\u6570\u91cf\u63a5\u8fd1 17 \u4e07\u4ebf\u53f0\u2014\u2014\u5373\u4f7f\u4ee5\u6bcf\u6beb\u79d2\u4e00\u53f0\u7684\u901f\u5ea6\u5217\u51fa\u6240\u6709<mark data-type=\"concepts\" data-id=\"8392f007-d345-459f-8c12-f2e697f5d120\">\u56fe\u7075\u673a<\/mark>\uff0c\u4e5f\u9700\u8981 500 \u591a\u5e74\u7684\u65f6\u95f4\u3002\u72e9\u730e\u300c\u6d77\u72f8\u300d\u7684\u730e\u624b\u4eec\uff0c\u5c06<mark data-type=\"concepts\" data-id=\"8392f007-d345-459f-8c12-f2e697f5d120\">\u56fe\u7075\u673a<\/mark>\u7684\u8303\u56f4\u4e0d\u65ad\u7f29\u5c0f\u30021989\u5e74\uff0c\u5fb7\u56fd\u7a0b\u5e8f\u5458Heiner Marxen \u53d1\u73b0\u4e86\u4e00\u4e2a\u572847,176,870 \u6b65\u540e\u505c\u6b62\u7684<mark data-type=\"concepts\" data-id=\"8392f007-d345-459f-8c12-f2e697f5d120\">\u56fe\u7075\u673a<\/mark>\uff0c\u4f46\u662f\u4ed6\u8fd8\u9700\u8bc1\u660e\u6240\u6709\u5269\u4f59\u7684\u673a\u5668\u5728\u6b64\u65f6\u4ecd\u672a\u505c\u673a\uff0c\u8981\u7b97\u51fa\u8fdb\u4e00\u6b65\u7684\u7ed3\u679c\uff0c\u8fd8\u9700\u898130\u5e74\u3002<\/section>\n<section><\/section>\n<section>21\u4e16\u7eaa\u521d\uff0c\u75f4\u8ff7\u4e8e\u7814\u7a76BB(5) \u7684\u4fdd\u52a0\u5229\u4e9a\u8ba1\u7b97\u673a\u79d1\u5b66\u5bb6Georgi Ivanov Geogiev\uff0c\u5c0617\u4ebf\u4e07\u53f0<mark data-type=\"concepts\" data-id=\"8392f007-d345-459f-8c12-f2e697f5d120\">\u56fe\u7075\u673a<\/mark>\u7684\u540d\u5355\u7cbe\u7b80\u5230\u4e86\u53ea\u526943\u4e2a\u3002\u5728\u4e00\u5c01\u7535\u5b50\u90ae\u4ef6\u4e2d\uff0cGeogiev\u8868\u793a\uff0c\u7814\u7a76\u5fd9\u788c\u6d77\u72f8\u51fd\u6570\u95ee\u9898\u8ba9\u4ed6\u75b2\u60eb\u4e0d\u582a\u3002\u5bf9\u4e8e\u300c\u5fd9\u788c\u6d77\u72f8\u300d\u7684\u300c\u730e\u624b\u300d\u4eec\uff0c\u8fd9\u662f\u5e38\u89c1\u7684\u7ed3\u679c\u3002\u51e0\u5341\u5e74\u6765\uff0c\u4ed6\u4eec\u72ec\u81ea\u6216\u7ed3\u5bf9\u5de5\u4f5c\uff0c\u5374\u6ca1\u6709\u5f97\u5230\u5b66\u672f\u754c\u7684\u5e7f\u6cdb\u8ba4\u53ef\u3002\u9700\u8981\u96c6\u4f53\u52aa\u529b\u624d\u80fd\u5b8c\u6210\u8fd9\u9879\u5de5\u4f5c\u3002<\/section>\n<section><\/section>\n<section>2015\u5e74\uff0c\u4e00\u4f4d\u540d\u53ebCode Golf Addict\u7684\u533f\u540dGitHub\u7528\u6237\u53d1\u5e03\u4e86\u4e00\u4e2a27\u89c4\u5219<mark data-type=\"concepts\" data-id=\"8392f007-d345-459f-8c12-f2e697f5d120\">\u56fe\u7075\u673a<\/mark>\u7684\u4ee3\u7801\uff0c\u8be5\u673a\u5668\u53ea\u6709\u5728\u54e5\u5fb7\u5df4\u8d6b\u731c\u60f3\u4e3a\u5047\u65f6\u624d\u4f1a\u505c\u6b62\u3002\u5176\u5de5\u4f5c\u539f\u7406\u662f\u901a\u8fc7\u6240\u6709\u5927\u4e8e4\u7684\u5076\u6570\u8fdb\u884c\u8ba1\u6570\uff1b\u5bf9\u4e8e\u6bcf\u4e00\u4e2a\u5076\u6570\uff0c\u5b83\u4f1a\u904d\u5386\u6240\u6709\u53ef\u80fd\u7684\u4e24\u6570\u4e4b\u548c\uff0c\u68c0\u67e5\u8fd9\u5bf9\u6570\u662f\u5426\u4e3a\u7d20\u6570\u3002\u5f53\u627e\u5230\u5408\u9002\u7684\u4e00\u5bf9\u7d20\u6570\u65f6\uff0c\u5b83\u4f1a\u79fb\u52a8\u5230\u4e0b\u4e00\u4e2a\u5076\u6570\u5e76\u91cd\u590d\u8fd9\u4e00\u8fc7\u7a0b\u3002\u5982\u679c\u627e\u5230\u4e00\u4e2a\u4e0d\u80fd\u7531\u4e00\u5bf9\u7d20\u6570\u4e4b\u548c\u7ec4\u6210\u7684\u5076\u6570\uff0c\u5b83\u5c31\u4f1a\u505c\u6b62\u3002\u00a0<\/section>\n<section><\/section>\n<section>\u8fd0\u884c\u8fd9\u79cd\u65e0\u8111\u673a\u5668\u5e76\u4e0d\u662f\u89e3\u51b3\u731c\u60f3\u7684\u5b9e\u9645\u65b9\u6cd5\uff0c\u56e0\u4e3a\u6211\u4eec\u65e0\u6cd5\u77e5\u9053\u5b83\u662f\u5426\u4f1a\u505c\u6b62\u3002\u4f46\u662f\uff0c\u5fd9\u788c\u6d77\u72f8\u6e38\u620f\u53ef\u4ee5\u5bf9\u8fd9\u4e00\u95ee\u9898\u63d0\u4f9b\u4e00\u4e9b\u89c1\u89e3\u3002\u5982\u679c\u80fd\u591f\u8ba1\u7b97\u51faBB(27)\uff0c\u5c31\u53ef\u4ee5\u786e\u5b9a\u81ea\u52a8\u89e3\u51b3\u54e5\u5fb7\u5df4\u8d6b\u731c\u60f3\u6240\u9700\u7684\u6700\u957f\u65f6\u95f4\u3002\u8fd9\u662f\u56e0\u4e3aBB(27)\u5bf9\u5e94\u7684\u662f\u8fd9\u53f027\u89c4\u5219<mark data-type=\"concepts\" data-id=\"8392f007-d345-459f-8c12-f2e697f5d120\">\u56fe\u7075\u673a<\/mark>\u4e3a\u4e86\u505c\u6b62\u6240\u9700\u6267\u884c\u7684\u6700\u5927\u6b65\u6570\u3002\u5982\u679c\u6211\u4eec\u77e5\u9053\u8fd9\u4e2a\u6570\uff0c\u6211\u4eec\u53ef\u4ee5\u8fd0\u884c\u8fd9\u53f0<mark data-type=\"concepts\" data-id=\"8392f007-d345-459f-8c12-f2e697f5d120\">\u56fe\u7075\u673a<\/mark>\u6070\u597d\u90a3\u4e48\u591a\u6b65\u3002\u5982\u679c\u5b83\u5728\u8fd9\u671f\u95f4\u505c\u6b62\u4e86\uff0c\u6211\u4eec\u5c31\u77e5\u9053\u54e5\u5fb7\u5df4\u8d6b\u731c\u60f3\u662f\u5047\u7684\u3002\u4f46\u5982\u679c\u5b83\u5728\u8fd9\u4e48\u591a\u6b65\u5185\u6ca1\u6709\u505c\u6b62\uff0c\u6211\u4eec\u5c31\u80fd\u786e\u5b9a\u5b83\u6c38\u8fdc\u4e0d\u4f1a\u505c\u6b62\uff0c\u4ece\u800c\u8bc1\u660e\u731c\u60f3\u4e3a\u771f\u3002\u00a0<\/section>\n<section><\/section>\n<section>\u95ee\u9898\u5728\u4e8e\uff0cBB(27)\u662f\u4e00\u4e2a\u65e0\u6cd5\u7406\u89e3\u7684\u5927\u6570\uff0c\u751a\u81f3\u5c06\u5176\u5199\u4e0b\u6765\u90fd\u4e0d\u53ef\u80fd\uff0c\u66f4\u4e0d\u7528\u8bf4\u8ba9\u54e5\u5fb7\u5df4\u8d6b\u53cd\u4f8b\u673a\u8fd0\u884c\u8fd9\u4e48\u591a\u6b65\u4e86\u3002\u00a0<\/section>\n<section><\/section>\n<section>2016\u5e74\uff0c\u7c7b\u4f3c\u7684\u7ed3\u679c\u5f97\u51fa\u4e86\uff0c\u8fd9\u6b21\u662f Aaronson\u7b49\u4eba\u505a\u51fa\u7684\u6210\u679c\u3002\u4ed6\u4eec\u53d1\u73b0\u4e86\u4e00\u53f0744\u89c4\u5219\u7684<mark data-type=\"concepts\" data-id=\"8392f007-d345-459f-8c12-f2e697f5d120\">\u56fe\u7075\u673a<\/mark>\uff0c\u53ea\u6709\u5728\u9ece\u66fc\u5047\u8bbe\u4e3a\u5047\u7684\u60c5\u51b5\u4e0b\u624d\u4f1a\u505c\u6b62\u3002\u9ece\u66fc\u5047\u8bbe\u6d89\u53ca\u7d20\u6570\u7684\u5206\u5e03\u95ee\u9898\uff0c\u662fClay\u6570\u5b66\u7814\u7a76\u6240\u7684\u300c\u5343\u79a7\u5e74\u95ee\u9898\u300d\u4e4b\u4e00\uff0c\u5956\u91d1\u4e3a100\u4e07\u7f8e\u5143\u3002Aaronson\u7684<mark data-type=\"concepts\" 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src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/07\/frc-fdff63fcd5120d0dd6318071627ef780.png\"><\/a><\/p>\n<section>\u4f0a\u5229\u8bfa\u4f0a\u5927\u5b66\u5384\u5df4\u7eb3-\u9999\u69df\u5206\u6821\u8ba1\u7b97\u673a\u79d1\u5b66\u7cfb\u7684\u52a9\u7406\u6559\u6388Talia\u5728\u770b\u5b8c\u7528Coq\u89e3\u51b3BB(5)\u7684\u771f\u5b9e\u503c\u7684\u6545\u4e8b\u540e\u8868\u793a\uff0c\u5979\u559c\u6b22\u8fd9\u4e9b\u6570\u5b66\u8bc1\u660e\u52a9\u624b\u7684\u539f\u56e0\u4e4b\u4e00\uff0c\u662f\u5b83\u4eec\u80fd\u8ba9\u66f4\u591a\u7684\u4eba\u53c2\u4e0e\u5230\u6570\u5b66\u7814\u7a76\u5f53\u4e2d\u3002<\/section>\n<section><\/section>\n<section>AI\u6b63\u5982\u9676\u54f2\u8f69\u6240\u8bf4\u7684\u90a3\u6837\uff0c\u5e2e\u52a9\u6570\u5b66\u5bb6\u4eec\u5904\u7406\u66f4\u591a\u95ee\u9898\uff0c\u8ba9\u6570\u5b66\u4e4b\u8c1c\u9010\u6e10\u89e3\u5f00\u3002<\/section>\n<section><\/section>\n<section><em><sup>\u53c2\u8003\u94fe\u63a5\uff1a<\/sup><\/em><\/section>\n<section><sup><em>https:\/\/mathstodon.xyz\/@TaliaRinger\/112719444060361451<\/em><\/sup><\/section>\n<section><sup><em>https:\/\/mathstodon.xyz\/@tao<\/em><\/sup><\/section>\n<section><em><sup>https:\/\/www.quantamagazine.org\/how-the-slowest-computer-programs-illuminate-maths-fundamental-limits-20201210\/<\/sup><\/em><\/section>\n<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a 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