{"id":30049,"date":"2026-08-17T09:55:24","date_gmt":"2026-08-17T01:55:24","guid":{"rendered":"https:\/\/aif.amtbbs.org\/?p=30049"},"modified":"2026-08-17T09:55:24","modified_gmt":"2026-08-17T01:55:24","slug":"ai%e5%ae%a3%e5%b8%83%e6%a3%ae%e5%a4%9a%e5%a4%ab%e7%8c%9c%e6%83%b3%e5%91%8a%e7%a0%b4%ef%bc%81%e9%99%b6%e5%93%b2%e8%bd%a9%e5%8f%91%e7%8e%b0%e5%ae%83%e9%9a%90%e8%97%8f%e7%9a%84%e6%9b%b4%e5%bc%ba%e7%bb%93","status":"publish","type":"post","link":"https:\/\/aif.amtbbs.org\/index.php\/2026\/08\/17\/30049\/","title":{"rendered":"AI\u5ba3\u5e03\u68ee\u591a\u592b\u731c\u60f3\u544a\u7834\uff01\u9676\u54f2\u8f69\u53d1\u73b0\u5b83\u9690\u85cf\u7684\u66f4\u5f3a\u7ed3\u679c"},"content":{"rendered":"<div class=\"article-desc\">\u68ee\u591a\u592b\u731c\u60f3\uff0c\u88ab\u4e00\u4f4d\u540d\u53eb Lech Mazur \u7684\u521d\u521b\u79d1\u6280\u516c\u53f8 CEO\uff0c\u501f\u52a9 AI \u5b8c\u6210\u4e86\u8bc1\u660e\u3002<\/div>\n<div id=\"postspictures\" class=\"article-content\">\n<div id=\"container\" class=\"container am-engine\" data-v-01a18e2f=\"\" data-element=\"root\">\n<p>\u968f\u7740 AI \u63a8\u7406\u80fd\u529b\u8fce\u6765\u4e95\u55b7\u5f0f\u7684\u53d1\u5c55\uff0c\u6570\u5b66\u7814\u7a76\u6b63\u5728\u7ecf\u5386\u4e00\u573a\u6df1\u523b\u53d8\u5316\u3002\u90a3\u4e9b\u66fe\u7ecf\u56f0\u6270\u4eba\u7c7b\u6570\u5341\u5e74\u7684\u672a\u89e3\u96be\u9898\uff0c\u6b63\u5728 AI \u7684\u8f85\u52a9\u4e0b\u52a0\u901f\u89e3\u51b3\u3002<\/p>\n<p>\u8fd9\u4e0d\uff0c\u53c8\u6709\u4e00\u4e2a\u81f3\u4eca\u7ea6 70 \u5e74\u7684\u6570\u5b66\u731c\u60f3\uff1a\u68ee\u591a\u592b\u731c\u60f3\uff0c\u88ab\u4e00\u4f4d\u540d\u53eb Lech Mazur \u7684\u521d\u521b\u79d1\u6280\u516c\u53f8 CEO\uff0c\u501f\u52a9 AI \u5b8c\u6210\u4e86\u8bc1\u660e\u3002<\/p>\n<p>\u8bc1\u660e\u8bba\u6587\u9898\u4e3a\u300cA Computer-Assisted Proof of Sendov&#8217;s Conjecture\u300d\uff0c\u4f5c\u8005 Lech Mazur \u5ba3\u5e03\uff1a\u68ee\u591a\u592b\u731c\u60f3\u5bf9\u6240\u6709\u6b21\u6570 n\u22652 \u6210\u7acb\uff0c\u8bc1\u660e\u5728 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alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u535a\u5ba2\u94fe\u63a5\uff1ahttps:\/\/terrytao.wordpress.com\/2026\/08\/12\/a-digestion-of-the-proof-of-sendovs-conjecture\/<\/p>\n<p>\u66f4\u5173\u952e\u7684\u662f\uff0c\u4ed6\u53d1\u73b0\u6574\u7406\u540e\u7684\u8bba\u8bc1\u5b9e\u9645\u4e0a\u8bc1\u660e\u4e86\u4e00\u4e2a\u66f4\u5f3a\u7684\u547d\u9898\uff0c1972 \u5e74\u63d0\u51fa\u7684 Phelps-Rodriguez \u731c\u60f3\u4e5f\u968f\u4e4b\u88ab\u89e3\u51b3\u3002<\/p>\n<p>\u8fd9\u610f\u5473\u7740\uff0c\u590d\u5206\u6790\u9886\u57df\u6700\u8457\u540d\u7684\u516c\u5f00\u95ee\u9898\u4e4b\u4e00\uff0c\u5728 AI \u7684\u53c2\u4e0e\u4e0b\u4e00\u6b21\u6027\u753b\u4e0a\u4e86\u53e5\u53f7\u3002<\/p>\n<h4>\u68ee\u591a\u592b\u731c\u60f3\uff1a\u4e00\u4e2a\u4f18\u96c5\u5230\u4ee4\u4eba\u6cae\u4e27\u7684\u95ee\u9898<\/h4>\n<p>\u68ee\u591a\u592b\u731c\u60f3\u7531\u4fdd\u52a0\u5229\u4e9a\u6570\u5b66\u5bb6 Blagovest Sendov \u4e8e 1958 \u5e74\u524d\u540e\u63d0\u51fa\uff0c\u9648\u8ff0\u6781\u5176\u7b80\u6d01\uff1a<\/p>\n<p>\u8bbe p (z) \u662f\u4e00\u4e2a n \u6b21\u590d\u591a\u9879\u5f0f\uff08n\u22652\uff09\uff0c\u5176\u6240\u6709\u96f6\u70b9\u90fd\u5728\u95ed\u5355\u4f4d\u5706\u76d8\u5185\uff08\u5373 |z|\u22641\uff09\u3002\u90a3\u4e48\uff0c\u5bf9 p \u7684\u4efb\u610f\u96f6\u70b9 a\uff0c\u81f3\u5c11\u5b58\u5728\u4e00\u4e2a\u4e34\u754c\u70b9 w\uff08\u5373\u5bfc\u6570 p'(z) \u7684\u96f6\u70b9\uff09\uff0c\u4f7f\u5f97 |w &#8211; a| \u2264 1\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s2.51cto.com\/oss\/202608\/17\/d9b485f357557e4586c18032eb93d39e480d0a.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u6362\u4e00\u79cd\u8bf4\u6cd5\uff1a\u5982\u679c\u4e00\u4e2a\u590d\u7cfb\u6570\u591a\u9879\u5f0f\u7684\u6240\u6709\u6839\u90fd\u4f4d\u4e8e\u5355\u4f4d\u5706\u5185\uff0c\u90a3\u4e48\u6bcf\u4e00\u4e2a\u6839\u9644\u8fd1\uff0c\u662f\u5426\u4e00\u5b9a\u5b58\u5728\u4e00\u4e2a\u8ddd\u79bb\u4e0d\u8d85\u8fc7 1 \u7684\u4e34\u754c\u70b9\uff1f<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s2.51cto.com\/oss\/202608\/17\/046093e275cfa159a644408911693f6189520d.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u793a\u610f\u56fe\u7531 AI \u751f\u6210<\/p>\n<p>\u8fd9\u4e2a\u731c\u60f3\u7684\u80cc\u666f\u6765\u81ea\u7ecf\u5178\u7684\u9ad8\u65af &#8211; \u5362\u5361\u65af\u5b9a\u7406\uff08Gauss-Lucas 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\u5e74\uff0c\u9676\u54f2\u8f69\u5728 Acta Mathematica \u4e0a\u8bc1\u660e\u300c\u5145\u5206\u5927\u7684 n\u300d\u6210\u7acb\uff0c\u4f46\u8bba\u8bc1\u4f7f\u7528\u4e86\u89e3\u6790\u5ef6\u62d3\u7b49\u5b9a\u6027\u5de5\u5177\uff0c\u65e0\u6cd5\u7ed9\u51fa\u663e\u5f0f\u7684\u6b21\u6570\u9608\u503c<\/li>\n<li data-id=\"ld70c578-4nkXClG7\">2026 \u5e74\u521d\uff0c\u534e\u4eba\u6570\u5b66\u5bb6 Teng Zhang\uff08Tang-Zhang \u731c\u60f3\u7684\u63d0\u51fa\u8005\u4e4b\u4e00\uff09\u5c06\u9676\u54f2\u8f69\u7684\u9608\u503c\u663e\u5f0f\u5316\u5230 10^200000<\/li>\n<\/ul>\n<p>Lech Mazur \u5e76\u975e\u5b66\u672f\u754c\u7684\u804c\u4e1a\u6570\u5b66\u5bb6\u3002\u4ed6\u662f\u4e00\u5bb6\u521b\u4e1a\u516c\u53f8\u7684\u521b\u59cb\u4eba\u517c CEO\uff0c\u540c\u65f6\u4e5f\u662f ProofAtlas \u5e73\u53f0\u7684\u521b\u5efa\u8005\uff0c\u8be5\u5e73\u53f0\u5b9a\u4f4d\u4e3a\u300cAI-first formal mathematics\u300d\uff0c\u5c06\u53ef\u89c6\u5316\u89e3\u91ca\u3001\u5f62\u5f0f\u5316\u9648\u8ff0\u3001\u5b8c\u6574\u6e90\u7801\u3001\u4f9d\u8d56\u5173\u7cfb\u548c\u53cd\u9a73\u8def\u5f84\u6c47\u805a\u5728\u4e00\u5f20\u4e0d\u65ad\u751f\u957f\u7684\u8bc1\u636e\u56fe\u8c31\u4e2d\u3002<\/p>\n<p>\u6309\u8bba\u6587\u81ea\u8eab\u7684\u8bf4\u660e\uff0cAI \u53c2\u4e0e\u7684\u73af\u8282\u5305\u62ec\u6570\u5b66\u63a2\u7d22\u3001\u8bc1\u660e\u53d1\u5c55\u3001\u6d4b\u8bd5\u548c\u5ba1\u67e5\u3002\u6700\u7ec8\u4ea7\u51fa\u7684 Lean 4 \u5f62\u5f0f\u5316\u4ee3\u7801\u7ea6 9 \u4e07\u884c\u3002<\/p>\n<h4>\u8bc1\u660e\u601d\u8def\u5230\u66f4\u5f3a\u731c\u60f3<\/h4>\n<p>\u9676\u54f2\u8f69\u5728\u535a\u5ba2\u4e2d\u5bf9\u8bc1\u660e\u8fdb\u884c\u4e86\u5b8c\u6574\u7684\u6d88\u5316\u548c\u91cd\u7ec4\u3002\u4ed6\u8bf4\uff1a\u8fd9\u79cd\u6d88\u5316\u5e26\u6765\u7684\u4e00\u4e2a\u7ed3\u679c\u662f\uff0c\u8be5\u8bba\u8bc1\u5b9e\u9645\u4e0a\u8bc1\u660e\u4e86\u731c\u60f3 3 \uff0c\u4ece\u800c\u5728\u5b8c\u5168\u666e\u904d\u610f\u4e49\u4e0a\u89e3\u51b3\u4e86 Sendov \u731c\u60f3\u548c Phelps-Rodriguez \u731c\u60f3\u3002<\/p>\n<p>\u6574\u4e2a\u8bba\u8bc1\u8d70\u53cd\u8bc1\u6cd5\u3002<\/p>\n<p>\u6838\u5fc3\u8bbe\u5b9a\uff1a \u5047\u8bbe\u5b58\u5728\u53cd\u4f8b\u3002\u8bbe n \u6b21\u591a\u9879\u5f0f p \u7684\u96f6\u70b9\u90fd\u5728\u95ed\u5355\u4f4d\u5706\u76d8\u5185\uff0c\u4f46\u5b58\u5728\u67d0\u4e2a\u96f6\u70b9 a\uff0c\u5176\u8ddd\u79bb 1 \u4ee5\u5185\u6ca1\u6709\u4efb\u4f55\u4e34\u754c\u70b9\u3002<\/p>\n<p>\u7b2c\u4e00\u6b65\uff1a\u5f52\u4e00\u5316\u3002 \u901a\u8fc7\u65cb\u8f6c\uff0c\u5c06 a \u53d8\u4e3a [0,1) \u533a\u95f4\u4e0a\u7684\u5b9e\u6570\u3002\u518d\u5c06\u4e34\u754c\u70b9 w_j \u6539\u5199\u4e3a\u5012\u6570\u5750\u6807 q_j = 1\/(a &#8211; w_j)\u3002\u300c\u8ddd\u79bb 1 \u4ee5\u5185\u6ca1\u6709\u4e34\u754c\u70b9\u300d\u6070\u597d\u53d8\u4e3a\u6240\u6709<img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s2.51cto.com\/oss\/202608\/17\/c1474d8705f5ef9a5557831c3b25566be10bb9.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/>\u3002\u4e8e\u662f\u53cd\u4f8b\u88ab\u6253\u5305\u6210\u5706\u76d8\u4e2d\u7684\u4e24\u7ec4\u70b9\uff1a\u5176\u4f59\u96f6\u70b9 z_j \u548c\u5012\u6570\u4e34\u754c\u70b9 q_j\u3002<\/p>\n<p>\u7b2c\u4e8c\u6b65\uff1a\u5efa\u7acb\u300c\u901a\u8baf\u6052\u7b49\u5f0f\u300d\u3002 \u9676\u54f2\u8f69\u5c06\u6838\u5fc3\u7684\u56db\u6761\u5173\u7cfb\u79f0\u4e3a communication identities\uff1a\u8d28\u5fc3\u6052\u7b49\u5f0f\uff08\u96f6\u70b9\u8d28\u5fc3 = \u4e34\u754c\u70b9\u8d28\u5fc3\uff09\u3001\u6781\u5316\u6052\u7b49\u5f0f\u3001\u7b2c\u4e00\u539f\u70b9\u6052\u7b49\u5f0f\u3001\u7b2c\u4e8c\u539f\u70b9\u6052\u7b49\u5f0f\u3002\u8fd9\u4e9b\u6052\u7b49\u5f0f\u901a\u8fc7\u5728\u51e0\u4e2a\u81ea\u7136\u4f4d\u7f6e\u6c42\u503c\u591a\u9879\u5f0f p \u53ca\u5176\u5bfc\u6570\u5f97\u51fa\u3002<\/p>\n<p>\u6b64\u540e\u51fa\u73b0\u4e86\u4e00\u4e2a\u610f\u5916\u7684\u8f6c\u6298\uff1a\u591a\u9879\u5f0f p \u672c\u8eab\u4e0d\u518d\u51fa\u573a\u3002 \u77db\u76fe\u5b8c\u5168\u4ece\u300c\u4e24\u7ec4\u70b9\u90fd\u5728\u5355\u4f4d\u5706\u76d8\u5185\u300d\u52a0\u4e0a\u8fd9\u56db\u6761\u6052\u7b49\u5f0f\u63a8\u51fa\u3002<\/p>\n<p>\u7b2c\u4e09\u6b65\uff1a\u5206\u652f\u70b9\u3002 \u6781\u5316\u6052\u7b49\u5f0f\u7ed3\u5408 M\u00f6bius \u53d8\u6362\u7684\u4f30\u8ba1<img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s2.51cto.com\/oss\/202608\/17\/c6e3b25053bc0560c40457b953d909091b01b4.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/>\uff0c\u5bfc\u51fa\u4e00\u4e2a\u5173\u952e\u7684\u79ef\u5206\u4e0b\u754c\uff1a<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s2.51cto.com\/oss\/202608\/17\/c4dc1a86049cf583b59102e3258dd0b4070696.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u8fd9\u662f\u6574\u4e2a\u8bba\u8bc1\u552f\u4e00\u7528\u5230 a \u4e3a\u5b9e\u6570\u7684\u5730\u65b9\uff0c\u4e5f\u662f\u6b64\u540e\u8bba\u8bc1\u5206\u53c9\u7684\u8d77\u70b9\u3002<\/p>\n<p>\u4f4e\u6b21\u6570\uff08n \u2264 5\uff09\u00a0\u5728\u6b64\u76f4\u63a5\u7ed3\u675f\uff1a\u7528\u6807\u91cf X (t) = a + (1-a^2) t \u63a7\u5236\u88ab\u79ef\u51fd\u6570\u7684\u6bcf\u4e00\u9879\uff0c\u5f97\u5230\u7684\u79ef\u5206<img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s2.51cto.com\/oss\/202608\/17\/f2e942f881e85c79f0593893249811aa28f8af.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/>\u5728 0 &lt; a &lt; 1\u3001m \u2264 4 \u65f6\u4e25\u683c\u5c0f\u4e8e 1\uff0c\u4e0e\u4e0a\u8ff0\u4e0b\u754c\u76f4\u63a5\u77db\u76fe\u3002<\/p>\n<p>\u9ad8\u6b21\u6570\uff08n \u2265 5\uff09\u00a0\u5219\u9700\u8981\u540c\u65f6\u5efa\u7acb\u4e24\u4e2a\u4e0d\u7b49\u5f0f\u3002\u4e00\u4e2a\u662f\u4ece\u4e0a\u8ff0\u79ef\u5206\u7ecf AM-GM \u4e0d\u7b49\u5f0f\u677e\u5f1b\u5f97\u5230\u7684\u300c\u6781\u5316\u4e0d\u7b49\u5f0f\u300d\uff0c\u53e6\u4e00\u4e2a\u662f\u4ece\u7b2c\u4e00\u3001\u7b2c\u4e8c\u539f\u70b9\u6052\u7b49\u5f0f\u7ed3\u5408\u8d28\u5fc3\u6052\u7b49\u5f0f\u63a8\u51fa\u7684\u300c\u539f\u70b9\u4e0d\u7b49\u5f0f\u300d\u3002<\/p>\n<p>\u4e24\u4e2a\u4e0d\u7b49\u5f0f\u5bf9\u6838\u5fc3\u53c2\u6570\uff08q_j \u5747\u503c\u7684\u5b9e\u90e8 x \u548c\u53c2\u6570<img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s2.51cto.com\/oss\/202608\/17\/054427910ac844f6ccf038168bd37bb4b25096.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/>\u5212\u5b9a\u7684\u53ef\u884c\u57df\u4e92\u4e0d\u76f8\u5bb9\u3002\u5bf9 n \u2265 101 \u7684\u60c5\u5f62\uff0c\u53ef\u4ee5\u89e3\u6790\u5730\u8bc1\u660e\u4e24\u4e2a\u4e0d\u7b49\u5f0f\u4e0d\u53ef\u80fd\u540c\u65f6\u6210\u7acb\uff1b5 \u2264 n \u2264 100 \u7684\u533a\u95f4\u5219\u7528\u7cbe\u786e\u6709\u7406\u6570\u7684 Bernstein \u591a\u9879\u5f0f\u8bc1\u4e66\u5b8c\u6210\u6570\u503c\u9a8c\u8bc1\uff0c\u5168\u7a0b\u7531 Lean \u68c0\u9a8c\u3002<\/p>\n<p>\u8fb9\u754c\u60c5\u5f62\uff08|a|=1\uff09\u00a0\u867d\u7531 Rubinstein \u65e9\u5df2\u89e3\u51b3\uff0c\u4f46\u9676\u54f2\u8f69\u7528\u540c\u4e00\u5957\u6846\u67b6\u7ed9\u51fa\u4e86\u65b0\u8bc1\u660e\u3002<\/p>\n<p>\u6b64\u65f6\u6781\u5316\u6052\u7b49\u5f0f\u9000\u5316\uff08\u56e0\u4e3a 1-a^2=0\uff09\uff0c\u6539\u7528 Meir-Sharma \u6052\u7b49\u5f0f\u3002\u7531\u6b64\u5f97\u5230\u00a0<img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s2.51cto.com\/oss\/202608\/17\/39f029f63c458863b8e530fd35c9de7596c4df.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/>\uff0c\u518d\u7ed3\u5408<img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s2.51cto.com\/oss\/202608\/17\/156174a35320557f975903f2ce54ed60ef37b4.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/>\u7684\u534a\u5e73\u9762\u754c\uff0c\u9010\u9879\u5f3a\u5236 q_j = 1\uff0c\u4ece\u800c\u63a8\u51fa p \u5fc5\u987b\u662f<img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s2.51cto.com\/oss\/202608\/17\/89c88fc72b23591c4ed603e0763d8d5959b052.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/>\u7684\u5f62\u5f0f\u3002\u8fd9\u4e00\u5206\u6790\u7cbe\u786e\u523b\u753b\u4e86\u7b49\u53f7\u6210\u7acb\u7684\u6761\u4ef6\uff0c\u6b63\u662f Phelps-Rodriguez \u731c\u60f3\u4e2d\u9700\u8981\u6392\u9664\u7684\u6781\u7aef\u60c5\u5f62\u3002<\/p>\n<p>\u9676\u54f2\u8f69\u7684\u8bc4\u4ef7\u662f\uff1a\u300c\u8bc1\u660e\u4ee4\u4eba\u60ca\u8bb6\u5730\u521d\u7b49\u3002\u9664\u4e86\u4ee3\u6570\u57fa\u672c\u5b9a\u7406\u548c M\u00f6bius \u53d8\u6362\u7684\u57fa\u672c\u6027\u8d28\u5916\uff0c\u6ca1\u6709\u7528\u5230\u4efb\u4f55\u590d\u5206\u6790\u5de5\u5177\uff1b\u6700\u6df1\u7684\u4e0d\u7b49\u5f0f\u8f93\u5165\u53ea\u662f Maclaurin \u4e0d\u7b49\u5f0f\uff08\u800c\u4e14\u53ea\u9700\u8981\u5176\u53ef\u7531\u7b97\u672f &#8211; \u8c03\u548c\u5e73\u5747\u4e0d\u7b49\u5f0f\u52a0\u5f52\u7eb3\u63a8\u51fa\u7684\u7279\u6b8a\u60c5\u5f62\uff09\u3002\u300d<\/p>\n<p>\u9676\u54f2\u8f69\u6d88\u5316\u7684\u4e00\u4e2a\u5173\u952e\u53d1\u73b0\u662f\uff1a\u6574\u7406\u540e\u7684\u8bba\u8bc1\u5b9e\u9645\u4e0a\u8bc1\u660e\u4e86\u6bd4\u68ee\u591a\u592b\u731c\u60f3\u66f4\u5f3a\u7684\u300c\u5185\u90e8\u5f62\u5f0f\u300d\u3002<\/p>\n<p>Phelps-Rodriguez \u731c\u60f3\uff081972\uff09\u5728\u68ee\u591a\u592b\u731c\u60f3\u7684\u57fa\u7840\u4e0a\u8981\u6c42\u8ddd\u79bb\u4e25\u683c\u5c0f\u4e8e 1\uff0c\u9664\u975e a \u5728\u5355\u4f4d\u5706\u5468\u4e0a\u4e14 p \u662f z^n &#8211; a^n \u7684\u6807\u91cf\u500d\u3002\u7531\u4e8e\u8bc1\u660e\u7684\u8fb9\u754c\u60c5\u5f62\u5206\u6790\u7cbe\u786e\u523b\u753b\u4e86\u7b49\u53f7\u6210\u7acb\u7684\u6761\u4ef6\uff0c\u8fd9\u4e2a\u66f4\u5f3a\u731c\u60f3\u4f5c\u4e3a\u63a8\u8bba\u76f4\u63a5\u5f97\u51fa\u3002<\/p>\n<p>\u9676\u54f2\u8f69\u5c06\u6574\u4e2a\u8bba\u8bc1\u91cd\u65b0\u5f62\u5f0f\u5316\u4e3a\u7ea6 1.5 \u4e07\u884c Lean \u4ee3\u7801\uff0c\u5df2\u5f00\u6e90\u5728 GitHub\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s2.51cto.com\/oss\/202608\/17\/957329e65a0e7209b595071a47be9342e96dc3.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u5f00\u6e90\u94fe\u63a5\uff1agithub.com\/teorth\/sendov<\/p>\n<h4>AI \u5728\u6570\u5b66\u4e2d\u7684\u89d2\u8272\u6b63\u5728\u6539\u53d8<\/h4>\n<p>\u7b2c\u4e00\uff0c\u8bc1\u660e\u8005\u7684\u8eab\u4efd\u3002Lech Mazur \u4e0d\u662f\u804c\u4e1a\u6570\u5b66\u5bb6\uff0c\u4f46\u501f\u52a9 AI \u5de5\u5177\u5b8c\u6210\u4e86\u56f0\u6270\u4e13\u4e1a\u5b66\u8005\u6570\u5341\u5e74\u7684\u95ee\u9898\u3002\u6b63\u5982\u77e5\u4e4e\u4e0a Tang-Zhang \u731c\u60f3\u63d0\u51fa\u8005\u4e4b\u4e00 Teng Zhang \u7684\u611f\u6168\uff1a\u300cSendov \u731c\u60f3\u662f\u6211\u535a\u58eb\u671f\u95f4\u7684\u8bfe\u9898\uff0c\u5b83\u88ab\u7528 AI \u89e3\u51b3\u4e86\uff0c\u6211\u7684\u9752\u6625\u7ed3\u675f\u4e86\u3002\u300d<\/p>\n<p>\u7b2c\u4e8c\uff0c\u4eba\u673a\u534f\u4f5c\u7684\u6a21\u5f0f\u3002Mazur \u7528 AI \u751f\u6210\u8bc1\u660e\u5e76\u5f62\u5f0f\u5316\u9a8c\u8bc1\uff089 \u4e07\u884c Lean\uff09\uff0c\u9676\u54f2\u8f69\u518d\u7528 AI \u8f85\u52a9\u6d88\u5316\u3001\u7b80\u5316\u548c\u91cd\u65b0\u5f62\u5f0f\u5316\uff081.5 \u4e07\u884c Lean\uff09\u3002AI \u65e2\u662f\u63a2\u7d22\u5de5\u5177\u4e5f\u662f\u9a8c\u8bc1\u5de5\u5177\uff0c\u4eba\u7c7b\u6570\u5b66\u5bb6\u7684\u89d2\u8272\u8f6c\u5411\u5224\u65ad\u3001\u63d0\u70bc\u548c\u8054\u7ed3\u3002<\/p>\n<p>\u7b2c\u4e09\uff0c\u5f62\u5f0f\u5316\u9a8c\u8bc1\u7684\u4fe1\u4efb\u57fa\u7840\u3002\u5728\u4f20\u7edf\u6570\u5b66\u4e2d\uff0c\u4e00\u4efd\u8bc1\u660e\u7684\u53ef\u4fe1\u5ea6\u4f9d\u8d56\u540c\u884c\u8bc4\u5ba1\u3002Lean \u5f62\u5f0f\u5316\u63d0\u4f9b\u4e86\u53e6\u4e00\u79cd\u4fe1\u4efb\u8def\u5f84\uff1a\u5982\u679c\u7c7b\u578b\u68c0\u67e5\u5668\u901a\u8fc7\u4e86\uff0c\u8bc1\u660e\u4e2d\u7684\u6bcf\u4e00\u6b65\u90fd\u662f\u903b\u8f91\u4e0a\u4e25\u683c\u7684\u3002\u5bf9\u4e8e AI \u751f\u6210\u7684\u8bc1\u660e\uff0c\u8fd9\u4e00\u70b9\u683c\u5916\u91cd\u8981\u3002<\/p>\n<p>\u9676\u54f2\u8f69\u5728\u535a\u6587\u672b\u5c3e\u5217\u51fa\u4e86\u4ecd\u7136\u5f00\u653e\u7684\u76f8\u5173\u731c\u60f3\uff0c\u5305\u62ec Borcea \u731c\u60f3\u3001Schmeisser \u731c\u60f3\u548c Smale \u95ee\u9898\uff0c\u5e76\u5766\u8a00\u300c\u6211\u786e\u5b9e\u4e5f\u5c1d\u8bd5\u7528 AI \u5de5\u5177\u653b\u51fb\u8fd9\u4e9b\u95ee\u9898\uff0c\u4f46\u6ca1\u6709\u53d6\u5f97\u663e\u8457\u6210\u529f\u300d\u3002<\/p>\n<p>AI 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