{"id":1993,"date":"2026-03-05T10:50:54","date_gmt":"2026-03-05T02:50:54","guid":{"rendered":"https:\/\/147227.xyz\/?p=1993"},"modified":"2026-03-15T10:53:32","modified_gmt":"2026-03-15T02:53:32","slug":"%e5%9b%be%e7%81%b5%e5%a5%96%e5%be%97%e4%b8%bbdon-knuth%e5%8f%91%e8%ae%ba%e6%96%87%e8%87%b4%e8%b0%a2claude","status":"publish","type":"post","link":"https:\/\/147227.xyz\/?p=1993","title":{"rendered":"\u56fe\u7075\u5956\u5f97\u4e3bDon Knuth\u53d1\u8bba\u6587\u81f4\u8c22Claude"},"content":{"rendered":"

\u9605\u8bfb\u9884\u8ba1 5 \u5206\u949f<\/p>

\u672c\u6587\u8f6c\u8f7d\u81ea\u56fe\u7075\u5956\u5f97\u4e3bDon Knuth\u53d1\u8bba\u6587\u81f4\u8c22Claude<\/a><\/p>\n

\n
<\/span><\/figure>\n

\u6628\u5929\uff0c\u8ba1\u7b97\u673a\u79d1\u5b66\u7684\u6d3b\u4f20\u5947\u300188 \u5c81\u7684\u56fe\u7075\u5956\u5f97\u4e3b Don Knuth\uff0c\u5728\u81ea\u5df1\u7684\u8bba\u6587\u91cc\u6b63\u5f0f\u611f\u8c22\u4e86\u4e00\u4e2a AI\u3002<\/span><\/p>\n

\u8fd9\u7bc7\u8bba\u6587\u6807\u9898\u662f\u300aClaude’s Cycles\u300b\uff0c\u5f00\u7bc7\u7b2c\u4e00\u53e5\u662f\u201cShock! Shock!\u201d\uff0c\u53d1\u5e03\u4e8e Knuth \u5728\u65af\u5766\u798f\u7684\u4e2a\u4eba\u4e3b\u9875\uff0c\u4e8e 2 \u6708 28 \u65e5\u5199\u6210\uff0c3 \u6708 4 \u65e5\u4fee\u8ba2\u3002<\/span><\/p>\n

<\/span><\/figure>\n

Don Knuth \uff0c1938 \u5e74\u51fa\u751f\uff0c\u65af\u5766\u798f\u5927\u5b66\u8363\u8a89\u6559\u6388\uff0c1974 \u5e74\u56fe\u7075\u5956\u5f97\u4e3b\u3002\u4ed6\u6700\u8457\u540d\u7684\u4f5c\u54c1\u662f\u300a\u8ba1\u7b97\u673a\u7a0b\u5e8f\u8bbe\u8ba1\u827a\u672f\u300b\uff0c\u88ab\u8a89\u4e3a\u8ba1\u7b97\u673a\u79d1\u5b66\u7684\u201c\u5723\u7ecf\u201d\u3002\u4ed6\u8001\u4eba\u5bb6\u89c1\u8bc1\u4e86\u6574\u4e2a\u8ba1\u7b97\u673a\u65f6\u4ee3\u7684\u8bde\u751f\u4e0e\u6210\u957f\uff0c\u4ece\u65e9\u671f\u8ba1\u7b97\u673a\u3001\u7b97\u6cd5\u7406\u8bba\u3001\u5230\u4e92\u8054\u7f51\u65f6\u4ee3\uff0c\u4ed6\u51e0\u4e4e\u53c2\u4e0e\u6216\u5f71\u54cd\u4e86\u6240\u6709\u91cd\u8981\u9636\u6bb5\u3002<\/span><\/p>\n

Knuth \u5bf9 AI \u4e00\u5411\u6001\u5ea6\u5ba1\u614e\u3002\u4ed6\u66fe\u516c\u5f00\u8868\u793a\uff0c\u5927\u8bed\u8a00\u6a21\u578b\u5728\u6587\u672c\u751f\u6210\u4e0a\u4ee4\u4ed6\u5370\u8c61\u6df1\u523b\uff0c\u4f46\u5bf9\u4e8e\u5b83\u80fd\u5426\u80dc\u4efb\u4e25\u683c\u7684\u6570\u5b66\u63a8\u7406\uff0c\u4ed6\u6301\u6000\u7591\u6001\u5ea6\u3002<\/span><\/p>\n

\u4e09\u5e74\u524d\uff0c\u4ed6\u8ba9\u7814\u7a76\u751f\u66ff\u4ed6\u5411 ChatGPT \u63d0\u4e86 20 \u4e2a\u95ee\u9898\uff0c\u770b\u5b8c\u56de\u7b54\u4e4b\u540e\u8bf4\u5230\uff1a<\/span><\/p>\n

\n<\/span><\/p>\n

“It\u2019s amazing how the confident tone lends credibility to all of that made-up nonsense.”<\/span><\/p>\n

\u90a3\u79cd\u81ea\u4fe1\u7684\u8bed\u6c14\uff0c\u5c45\u7136\u80fd\u8ba9\u4e00\u5806\u7f16\u51fa\u6765\u7684\u80e1\u8bdd\u542c\u4e0a\u53bb\u50cf\u771f\u7684\u4e00\u6837\u3002<\/span><\/p>\n<\/blockquote>\n

\u73b0\u5728 Knuth \u5c45\u7136\u4f1a\u611f\u8c22 AI\uff1f\u8ba9\u8fd9\u4f4d\u89c1\u8bc1\u6574\u4e2a\u8ba1\u7b97\u673a\u5386\u53f2\u7684\u8001\u4eba\u6539\u53e3\u7684\u5bfc\u706b\u7d22\uff0c\u662f\u4e00\u9053\u6570\u5b66\u9898\u3002<\/span><\/p>\n

Knuth \u7814\u7a76\u4e86\u597d\u51e0\u5468\u3002<\/span><\/p>\n

Claude \u53ea\u7528\u4e86<\/span>\u5927\u7ea6\u4e00\u5c0f\u65f6<\/span><\/strong>\u3002<\/span><\/p>\n

\n<\/span>\u4e00\u4e2a\u8ba9 Knuth \u5361\u4f4f\u7684\u6570\u5b66\u95ee\u9898<\/span><\/span><\/span>
\n<\/h2>\n

Knuth \u6b63\u5728\u4e3a\u300a\u8ba1\u7b97\u673a\u7a0b\u5e8f\u8bbe\u8ba1\u827a\u672f\u300b(TAOCP)\u5199\u672a\u6765\u5377\uff0c\u8d8a\u5230\u4e86\u4e00\u4e2a\u56fe\u8bba\u95ee\u9898\uff0c\u5361\u4e86\u51e0\u4e2a\u661f\u671f\u3002<\/span><\/p>\n

TAOCP \u662f\u8ba1\u7b97\u673a\u79d1\u5b66\u53f2\u4e0a\u6700\u91cd\u8981\u7684\u8457\u4f5c\u4e4b\u4e00\u3002Knuth \u4ece\u4e0a\u4e16\u7eaa 60 \u5e74\u4ee3\u5f00\u59cb\u5199\uff0c\u5230\u73b0\u5728\u5df2\u7ecf\u5199\u4e86 60 \u5e74\u3002\u6bd4\u5c14\u00b7\u76d6\u8328\u66fe\u7ecf\u8bf4\u8fc7\u4e00\u53e5\u5f88\u51fa\u540d\u7684\u8bdd\uff1a<\/span><\/p>\n

\n<\/span><\/p>\n

\u5982\u679c\u4f60\u80fd\u8bfb\u5b8c\u8fd9\u5957\u4e66\uff0c\u4e00\u5b9a\u7ed9\u6211\u53d1\u7b80\u5386\u3002<\/span><\/p>\n<\/blockquote>\n

\u95ee\u9898\u6d89\u53ca\u5c06\u6709\u5411\u56fe\u5206\u89e3\u4e3a\u54c8\u5bc6\u987f\u73af\uff0c\u95ee\u9898\u672c\u8eab\u5176\u5b9e\u53ef\u4ee5\u8bb2\u5f97\u5f88\u76f4\u89c2\uff0c\u901a\u4fd7\u5730\u8bf4:<\/span><\/p>\n

\u60f3\u8c61\u4e00\u4e2a\u4e09\u7ef4\u7684\u201c\u73af\u5f62\u7f51\u683c\u201d\uff0c\u7a7a\u95f4\u91cc\u6709 m x m x m \u4e2a\u683c\u5b50\u3002<\/span><\/p>\n

\u4ece\u6bcf\u4e2a\u683c\u5b50\u53ef\u4ee5\u5f80\u4e09\u4e2a\u65b9\u5411\u79fb\u52a8\uff0c\u8d70\u5230\u8fb9\u754c\u65f6\uff0c\u5730\u56fe\u4f1a\u7ed5\u56de\u6765(\u4ece\u53f3\u8fb9\u51fa\u53bb\uff0c\u4f1a\u4ece\u5de6\u8fb9\u51fa\u73b0\uff1b\u4ece\u4e0a\u9762\u51fa\u53bb\uff0c\u4f1a\u4ece\u4e0b\u9762\u56de\u6765)\u3002<\/span><\/p>\n

\u5c31\u50cf\u4e00\u4e2a\u4e09\u7ef4\u7248\u7684\u5403\u8c46\u4eba\u5730\u56fe\u3002<\/span><\/p>\n

<\/span><\/figure>\n

\u6311\u6218\u662f<\/span><\/strong>: \u80fd\u4e0d\u80fd\u627e\u5230\u4e09\u6761\u8def\u7ebf\uff0c\u6bcf\u6761\u6070\u597d\u7ecf\u8fc7\u6240\u6709 m^3 \u4e2a\u683c\u5b50\u5404\u4e00\u6b21(\u5f62\u6210\u95ed\u5408\u73af)\uff0c\u800c\u4e14\u4e09\u6761\u8def\u7ebf\u8d70\u7684\u201c\u9053\u8def\u201d\u5b8c\u5168\u4e0d\u91cd\u53e0\uff0c\u6070\u597d\u628a\u5168\u90e8 3 x m^3 \u6761\u9053\u8def\u7528\u5b8c?<\/span><\/p>\n

\u62ff\u6700\u5c0f\u7684\u6709\u6548\u60c5\u51b5 m=3 \u4e3e\u4f8b: 27 \u4e2a\u683c\u5b50\u300181 \u6761\u6709\u5411\u8fb9\uff0c\u8981\u7cbe\u786e\u5206\u89e3\u6210\u4e09\u6761 27 \u6b65\u7684\u95ed\u5408\u8def\u5f84\u3002\u6bcf\u6761\u8def\u8d70\u904d\u5168\u90e8 27 \u4e2a\u683c\u5b50\uff0c\u4e09\u6761\u8def\u5408\u8d77\u6765\u521a\u597d\u8986\u76d6\u5168\u90e8 81 \u6761\u8fb9\uff0c\u4e0d\u91cd\u4e0d\u6f0f\u3002<\/span><\/p>\n

<\/section>\n

\u8001\u7237\u5b50\u81ea\u5df1\u641e\u5b9a\u4e86 m=3\uff0c\u4ed6\u7684\u670b\u53cb Filip Stappers \u5199\u7a0b\u5e8f\u66b4\u529b\u9a8c\u8bc1\u4e86\u6700\u5927\u5230 16\u00d716\u00d716 \u7684\u7f51\u683c\uff0c\u4f46\u59cb\u7ec8\u627e\u4e0d\u5230\u4e00\u4e2a\u9002\u7528\u4e8e\u4efb\u610f\u5947\u6570\u7ef4\u5ea6\u7684\u901a\u7528\u6784\u9020\u65b9\u6cd5\u3002<\/span><\/p>\n

<\/span><\/figure>\n

\n<\/span>Claude \u7684\u4e00\u5c0f\u65f6\u79d1\u7814\u4e4b\u65c5<\/span><\/span><\/span>
\n<\/h2>\n

\u8fd9\u65f6\u5019\uff0cFilip \u51b3\u5b9a\u8bd5\u8bd5 AI\uff0c\u4ed6\u628a\u95ee\u9898\u539f\u5c01\u4e0d\u52a8\u7529\u7ed9\u4e86<\/span>Claude Opus 4.6\uff0c<\/span><\/strong>\u8981\u6c42\u5b83\u6bcf\u6b21\u8dd1\u5b8c\u5b9e\u9a8c\u5fc5\u987b\u66f4\u65b0\u8fdb\u5ea6\u6587\u6863\u3002<\/span><\/p>\n

Claude Opus 4.6\uff0c\u5728\u5927\u7ea6\u4e00\u5c0f\u65f6\u5185\uff0c\u8fdb\u884c\u4e86 31 \u6b21\u6709\u5f15\u5bfc\u7684\u63a2\u7d22\u3002<\/span><\/p>\n

<\/span><\/figure>\n

Claude \u6d4b\u8bd5\u4e86\u7ebf\u6027\u516c\u5f0f\uff0c\u5c1d\u8bd5\u4e86\u66b4\u529b\u641c\u7d22\uff0c\u5efa\u7acb\u4e86\u65b0\u7684\u51e0\u4f55\u6846\u67b6\uff0c\u8fd0\u7528\u4e86\u6a21\u62df\u9000\u706b\u7b97\u6cd5\uff0c\u78b0\u58c1\uff0c\u8f6c\u6362\u7b56\u7565\uff0c\u6301\u7eed\u63a8\u8fdb\u3002<\/span><\/p>\n

Claude \u8fd8\u53d1\u660e\u4e86\u5b83\u81ea\u5df1\u547d\u540d\u7684 \u201c\u86c7\u5f62\uff08serpentine\uff09\u6a21\u5f0f\u201d\u3002<\/span><\/p>\n

\u5173\u952e\u7684\u8f6c\u6298\u3002<\/span><\/strong>\u7b2c\u4e09\u5341\u6b65\u65f6\uff0cClaude \u56de\u5934\u7ffb\u770b\u4e86\u4e00\u4e0b\u4e4b\u524d\u90a3\u4e9b\u5f03\u7528\u7684\u6a21\u62df\u9000\u706b\u7ed3\u679c\uff0c\u7136\u540e\u4ece\u90a3\u5806\u201c\u5931\u8d25\u54c1\u201d\u91cc\u63d0\u53d6\u51fa\u4e86\u4e00\u4e2a\u9690\u85cf\u89c4\u5f8b: \u5728\u6bcf\u4e00\u201c\u5c42\u201d\uff08\u6309 i+j+k \u7684\u4f59\u6570\u5206\u7ec4\uff09\u91cc\u9762\uff0c\u9009\u62e9\u8d70\u54ea\u4e2a\u65b9\u5411\u8fd9\u4ef6\u4e8b\uff0c\u4e0d\u9700\u8981\u770b\u6240\u6709\u4e09\u4e2a\u5750\u6807\u7684\u7ec4\u5408\uff0c\u53ea\u770b\u5176\u4e2d\u4e00\u4e2a\u5c31\u591f\u4e86\u3002\u8fd9\u8ba9\u89c4\u5219\u53d8\u5f97\u6781\u5176\u7b80\u6d01\uff0c\u5728\u7b2c 31 \u6b21\u63a2\u7d22\u65f6\u627e\u5230\u4e86\u9002\u7528\u4e8e\u6240\u6709\u5947\u6570\u60c5\u5f62\u7684\u6784\u9020\u65b9\u6848\u3002<\/span><\/p>\n

Knuth \u770b\u5230\u7b2c 3 \u6b65\u7684\u65f6\u5019\u5fcd\u4e0d\u4f4f\u5728\u8bba\u6587\u91cc\u5199\u4e86\u53e5”This is really impressive!”\uff0c\u8981\u77e5\u9053\u8fd9\u4e2a\u8001\u7237\u5b50\u53ef\u662f\u51fa\u4e86\u540d\u7684\u541d\u556c\u8d5e\u7f8e\uff0c\u627e\u5230\u4ed6\u4e66\u91cc\u4e00\u4e2a\u9519\u8bef\u53ea\u7ed9\u4f60 2.56 \u7f8e\u5143\u3002\u3002<\/span><\/p>\n

\n<\/span>Claude \u7ed9\u51fa\u7684\u89e3\u6cd5\u957f\u4ec0\u4e48\u6837?<\/span><\/span><\/span>
\n<\/h2>\n

Knuth \u5728\u8bba\u6587\u91cc\u628a Claude \u7684 Python \u7a0b\u5e8f\u7b80\u5316\u6210\u4e86\u4e00\u6bb5\u4f18\u96c5\u7684 C \u4ee3\u7801:<\/span><\/p>\n

<\/span>s = (i+j+k) % m; \u00a0<\/span>
<\/span>if<\/span><\/span>\u00a0(s ==\u00a0<\/span>0<\/span><\/span>) d = (j == m<\/span>-1<\/span><\/span>?\u00a0<\/span>\"012\"<\/span><\/span>\u00a0:\u00a0<\/span>\"210\"<\/span><\/span>); \u00a0<\/span>
<\/span>else<\/span><\/span>\u00a0<\/span>if<\/span><\/span>\u00a0(s == m<\/span>-1<\/span><\/span>) d = (i ==\u00a0<\/span>0<\/span><\/span>?\u00a0<\/span>\"210\"<\/span><\/span>\u00a0:\u00a0<\/span>\"120\"<\/span><\/span>); \u00a0<\/span>
<\/span>else<\/span><\/span>\u00a0d = (i == m<\/span>-1<\/span><\/span>?\u00a0<\/span>\"201\"<\/span><\/span>\u00a0:\u00a0<\/span>\"102\"<\/span><\/span>); \u00a0<\/span>
<\/span><\/code><\/pre>\n
\u5148\u7b97\u4e00\u4e2a\u503c s = (i+j+k) mod m\uff0c\u7136\u540e\u6839\u636e s \u51b3\u5b9a\u4e09\u6761\u8def\u5f84\u5404\u8d70\u54ea\u4e2a\u65b9\u5411:<\/span><\/p>\n
    \n
  • \n
    s=0 \u65f6: j \u5230\u5934\u4e86\u5c31\u8d70 i \u65b9\u5411\uff0c\u5426\u5219\u8d70 k \u65b9\u5411<\/span><\/section>\n<\/li>\n
  • \n
    s=m-1 \u65f6: i>0 \u5c31\u8d70 j \u65b9\u5411\uff0c\u5426\u5219\u8d70 k \u65b9\u5411<\/span><\/section>\n<\/li>\n
  • \n
    \u5176\u4ed6\u60c5\u51b5: i \u5230\u5934\u4e86\u5c31\u8d70 k \u65b9\u5411\uff0c\u5426\u5219\u8d70 j \u65b9\u5411<\/span><\/section>\n<\/li>\n<\/ul>\n
    Filip \u9a8c\u8bc1\u4e86\u6240\u6709\u5947\u6570 m \u4ece 3 \u5230 101\uff0c<\/span>\u5168\u90e8\u5b8c\u7f8e\u901a\u8fc7<\/span><\/strong>\u3002<\/span><\/p>\n
    Claude \u627e\u5230\u4e86\u6784\u9020\u65b9\u6cd5\uff0c\u8001\u7237\u5b50\u7ee7\u7eed\u5b8c\u6210\u4e86\u4e25\u683c\u8bc1\u660e\u3002<\/span><\/p>\n
    <\/span><\/figure>\n
    \u4ed6\u5148\u8bc1\u660e\u8fd9\u4e2a\u6784\u9020\u5bf9\u6240\u6709\u5947\u6570 m > 1 \u90fd\u6210\u7acb\uff0c\u7136\u540e\u7ee7\u7eed\u6df1\u5165\u7814\u7a76\u7ed3\u6784\uff0c\u53d1\u73b0 Claude \u627e\u5230\u7684\u89e3\u6cd5\u5176\u5b9e\u5c5e\u4e8e\u4e00\u4e2a\u66f4\u5927\u7684\u5bb6\u65cf\u3002\u8bf4\u767d\u4e86\u5c31\u662f\uff0cClaude \u7528\u7684\u90a3\u5957\u201c\u6839\u636e s \u7684\u503c\u6765\u5206\u914d\u65b9\u5411\u201d\u7684\u903b\u8f91\u6846\u67b6\uff0c\u5728\u89c4\u5219\u7ec6\u8282\u4e0a\u8fd8\u6709\u5f88\u591a\u79cd\u53d8\u4f53\uff0c\u6bcf\u4e00\u79cd\u53d8\u4f53\u5bf9\u6240\u6709\u5947\u6570 m \u4e5f\u540c\u6837\u6210\u7acb\u3002<\/span><\/p>\n
    \u6700\u7ec8\u7edf\u8ba1\u7ed3\u679c\u662f\uff1a\u5171\u6709\u00a0<\/span>760 \u79cd\u201cClaude \u5f0f\u5206\u89e3\u201d<\/span><\/strong>\u00a0\u5177\u6709\u540c\u6837\u6027\u8d28\u3002<\/span><\/p>\n
    Claude \u627e\u5230\u7684\u662f\u5176\u4e2d\u4e00\u7c7b\uff0c\u4f46\u5b83\u6253\u5f00\u4e86\u6574\u6247\u95e8\u3002<\/span><\/p>\n
    \n<\/span>\u540e\u7eed\u66f4\u7cbe\u5f69:\uff0cGPT \u89e3\u4e86\u53e6\u4e00\u534a<\/span><\/span><\/span>
    \n<\/h2>\n
    \u8bc1\u660e\u5b8c\u6210\u4e4b\u540e\uff0cFilip \u7ee7\u7eed\u8ba9 Claude \u7814\u7a76\u00a0<\/span>\u5076\u6570 m<\/span><\/strong>\u00a0\u7684\u60c5\u51b5\u3002<\/span><\/p>\n
    Claude \u8fd9\u6b21\u5e72\u4e86\u5927\u7ea6 4 \u5c0f\u65f6\uff0c\u4f46\u7ed3\u679c\u5374\u8d8a\u6765\u8d8a\u8be1\u5f02\u3002<\/span><\/p>\n
    \u65e5\u5fd7\u91cc\u6700\u540e\u5199\u9053: \u201c\u5b83\u751a\u81f3\u65e0\u6cd5\u6b63\u786e\u7f16\u5199\u548c\u8fd0\u884c\u63a2\u7d22\u7a0b\u5e8f\u4e86\u3002\u201d Filip \u53ea\u597d\u505c\u6b62\u5b9e\u9a8c\u3002<\/span><\/p>\n
    \u51e0\u5929\u540e\uff0c\u65b0\u52a0\u5761\u7814\u7a76\u8005\u00a0<\/span>Ho Boon Suan<\/span><\/strong>\u00a0\u7528\u00a0<\/span>GPT-5.3-codex<\/span><\/strong>\u00a0\u6784\u9020\u51fa\u4e86\u5076\u6570\u60c5\u51b5\u7684\u65b9\u6848\uff0c\u7a0b\u5e8f\u9a8c\u8bc1\u4e86 m=8 \u5230 2000 \u7684\u6240\u6709\u5076\u6570\u3002m=2000 \u7684\u65f6\u5019\uff0c\u8fd9\u56fe\u6709<\/span>80 \u4ebf\u4e2a\u9876\u70b9<\/span><\/strong>\u3002<\/span><\/p>\n
    Claude \u89e3\u5947\u6570\uff0cGPT \u89e3\u5076\u6570\u3002Knuth \u628a\u4e24\u4e2a\u7a0b\u5e8f\u90fd\u653e\u5728\u4e86\u65af\u5766\u798f\u5b98\u7f51\u4e0a\u3002\u4e24\u4e2a AI \u5404\u89e3\u534a\u9898\uff0c\u8fd9\u4e2a\u753b\u9762\u8fd8\u633a\u6709\u610f\u601d\u7684\u3002<\/span><\/p>\n
    \u518d\u56de\u60f3\u5f00\u7bc7\u7684\u4e24\u4e2a\u9707\u60ca\uff01\u9707\u60ca\uff01\u6211\u4f30\u8ba1\uff0c\u8001\u7237\u5b50\u8fd9\u6b21\u662f\u771f\u7684\u6fc0\u52a8\u4e86\u3002<\/span><\/p>\n
    \n<\/span><\/p>\n
    \u201cShock! Shock! \u6211\u6628\u5929\u5f97\u77e5\uff0c\u4e00\u4e2a\u6211\u7814\u7a76\u4e86\u597d\u51e0\u5468\u7684\u95ee\u9898\uff0c\u521a\u521a\u88ab Claude Opus 4.6 \u89e3\u51b3\u4e86!\u201d<\/span><\/strong><\/p>\n<\/blockquote>\n
    <\/span><\/figure>\n
    \u8bba\u6587\u7ed3\u5c3e\uff0cKnuth \u73a9\u4e86\u4e00\u4e2a\u53cc\u5173:<\/span><\/p>\n
    \n<\/span><\/p>\n
    “I think Claude Shannon’s spirit is probably proud to know that his name is now being associated with such advances. Hats off to Claude!”<\/span><\/strong><\/p>\n
    \u6211\u60f3 Claude Shannon \u7684\u5728\u5929\u4e4b\u7075\u5927\u6982\u4f1a\u5f88\u81ea\u8c6a\uff0c\u77e5\u9053\u4ed6\u7684\u540d\u5b57\u73b0\u5728\u4e0e\u8fd9\u6837\u7684\u8fdb\u6b65\u8054\u7cfb\u5728\u4e00\u8d77\u3002\u5411 Claude \u81f4\u656c!<\/span><\/p>\n<\/blockquote>\n
    Claude Shannon\uff0c\u4fe1\u606f\u8bba\u4e4b\u7236\uff0c\u4e5f\u53eb Claude\u3002AI \u4e5f\u53eb Claude\u3002\u4e00\u8bed\u53cc\u5173\uff0c\u81f4\u656c\u4e24\u4e2a Claude\u300288 \u5c81\u8001\u7237\u5b50\u7684\u6587\u5b57\u529f\u5e95\uff0c\u53ef\u4ee5\u7684\u3002<\/span><\/p>\n
    <\/span><\/figure>\n
    \u8fd8\u6709\u4e00\u53e5\u66f4\u5173\u952e\u7684:<\/span><\/p>\n
    \n<\/span><\/p>\n
    “It seems that I’ll have to revise my opinions about ‘generative AI’ one of these days.”<\/span><\/strong><\/p>\n
    \u770b\u6765\u6211\u5f97\u627e\u4e2a\u65f6\u95f4\u4fee\u6b63\u4e00\u4e0b\u6211\u5bf9’\u751f\u6210\u5f0f AI’\u7684\u770b\u6cd5\u4e86\u3002<\/span><\/p>\n<\/blockquote>\n
    \u4e09\u5e74\u524d\u8bf4 AI\u201c\u8ba9\u80e1\u8bdd\u542c\u4e0a\u53bb\u50cf\u771f\u7684\u201d\uff0c\u4e09\u5e74\u540e\u8bf4\u8981\u4fee\u6b63\u81ea\u5df1\u7684\u770b\u6cd5\u3002\u8fd9\u4e2a\u6001\u5ea6\u5f27\u7ebf\uff0c\u6765\u81ea\u4e00\u4f4d\u89c1\u8bc1\u4e86\u8ba1\u7b97\u673a\u5168\u90e8\u5386\u53f2\u7684 88 \u5c81\u79d1\u5b66\u5bb6\uff0c\u6050\u6015\u662f\u8fc7\u53bb\u4e09\u5e74\u91cc AI \u8fdb\u6b65\u6700\u6709\u5206\u91cf\u7684\u4e00\u4e2a\u6ce8\u811a\u3002<\/span><\/p>\n
    \u5f53\u7136\uff0cKnuth \u4e5f\u5766\u8bda\u8bb0\u5f55\u4e86 Claude \u7684\u5404\u79cd\u6bdb\u75c5\uff1a\u4f1a\u968f\u673a\u62a5\u9519\u9700\u8981\u91cd\u542f\uff0c\u8981\u53cd\u590d\u63d0\u9192\u624d\u80af\u597d\u597d\u5199\u6587\u6863\uff0c\u4e5f\u5c31\u662f Claude \u5168\u7a0b\u9700\u8981\u4eba\u7c7b\u5f15\u5bfc\u3002\u5076\u6570\u60c5\u51b5\u505a\u4e86 4 \u5c0f\u65f6\u6700\u540e\u8fde\u7a0b\u5e8f\u90fd\u5199\u4e0d\u5bf9\u4e86\u3002\u6210\u529f\u548c\u5931\u8d25\u90fd\u5199\u8fdb\u4e86\u8bba\u6587\uff0c\u6ca1\u6709\u5938\u5927\u6ca1\u6709\u63a9\u9970\u3002<\/span><\/p>\n
    \u4e00\u4f4d 88 \u5c81\u7684\u8ba1\u7b97\u673a\u79d1\u5b66\u5bb6\uff0c\u7528\u4ed6\u60ef\u6709\u7684\u4e25\u8c28\u548c\u8bda\u5b9e\uff0c\u5b8c\u6574\u8bb0\u5f55\u4e0b AI \u7b2c\u4e00\u6b21\u771f\u6b63\u8ba9\u4ed6\u9707\u60ca\u7684\u65f6\u523b\u3002<\/span><\/p>\n
    <\/section>\n
    <\/section>\n
    <\/section>\n
    <\/section>\n
    \n
    \n
    \u53c2\u8003\u6587\u732e<\/span><\/strong>
    <\/span>Donald E. Knuth, “Claude’s Cycles”, Stanford CS, 2026 \u5e74 2 \u6708 28 \u65e5 (\u4fee\u8ba2 3 \u6708 4 \u65e5) \u00a0<\/span>
    <\/span>https:\/\/www-cs-faculty.stanford.edu\/~knuth\/papers\/claude-cycles.pdf<\/span>
    <\/span>\u5076\u6570\u89e3\u6cd5\u7a0b\u5e8f: cs.stanford.edu\/~knuth\/even_closed_form.c (GPT-5.3-codex) \u00a0<\/span>
    <\/span>\u5076\u6570\u89e3\u6cd5\u7a0b\u5e8f: cs.stanford.edu\/~knuth\/even_solution.py (Claude Opus 4.6)<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n
    <\/p>\n","protected":false},"excerpt":{"rendered":"
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