{"id":10487,"date":"2018-08-22T01:00:00","date_gmt":"2018-08-21T17:00:00","guid":{"rendered":"http:\/\/swarma.org\/?p=10487"},"modified":"2018-12-05T16:24:19","modified_gmt":"2018-12-05T08:24:19","slug":"%e6%89%be%e5%88%b0%e4%bd%a0%e6%b7%b7%e4%b9%b1%e7%94%9f%e6%b4%bb%e4%b8%ad%e7%9a%84%e7%a7%a9%e5%ba%8f-kolmogorov%e5%a4%8d%e6%9d%82%e5%ba%a6","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=10487","title":{"rendered":"\u627e\u5230\u4f60\u6df7\u4e71\u751f\u6d3b\u4e2d\u7684\u79e9\u5e8f\u2014\u2014Kolmogorov\u590d\u6742\u5ea6"},"content":{"rendered":"
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\"\u96c6\u667a\"<\/p>\n

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\u5bfc\u8bed<\/span><\/strong><\/span><\/section>\n
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\u5982\u4f55\u5224\u65ad\u4e00\u6bb5\u8bdd\u4fe1\u606f\u91cf\u662f\u5927\u662f\u5c0f\uff1f\u5728\u9999\u519c\u90a3\u91cc\uff0c\u53ef\u4ee5\u7528\u201c\u514b\u670d\u4e86\u591a\u5c11\u4e0d\u786e\u5b9a\u6027\u201d\u6765\u63cf\u8ff0\u3002\u800c\u5728\u67ef\u5c14\u83ab\u54e5\u6d1b\u592b\u90a3\u91cc\uff0c\u8981\u770b\u201c\u7528\u591a\u957f\u7684\u4ee3\u7801\u80fd\u751f\u6210\u8fd9\u53e5\u8bdd\u201d\u3002<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

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\u7f16\u8bd1\uff1a\u96c6\u667a\u4ff1\u4e50\u90e8\u7ffb\u8bd1\u7ec4<\/span><\/p>\n

\u6765\u6e90\uff1a<\/span>Nautilus<\/span><\/p>\n

\u539f\u9898\uff1a<\/span>Kolmogorov Complexity and Our Search for Meaning<\/span><\/p>\n<\/blockquote>\n<\/section>\n

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

\u5f53\u4f60\u9047\u5230\u90a3\u4e2a\u7279\u522b\u7684\u4eba\u65f6\uff0c\u8fd9\u53ea\u662f\u4e00\u6b21\u5076\u7136\u7684\u9082\u9005\u8fd8\u662f\u9690\u85cf\u7740\u66f4\u6df1\u5c42\u6b21\u7684\u539f\u56e0\uff1f<\/span><\/p>\n

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\u5f53\u4f60\u6628\u665a\u505a\u4e86\u4e00\u4e2a\u5947\u602a\u7684\u68a6\u65f6\uff0c\u8fd9\u53ea\u662f\u610f\u5473\u7740\u5927\u8111\u7a81\u89e6\u95f4\u968f\u673a\u8fd0\u8f6c\u8fd8\u662f\u63ed\u793a\u4e86\u6f5c\u610f\u8bc6\u6df1\u5904\u7684\u66f4\u6df1\u523b\u7684\u539f\u7406\uff1f<\/span>\uff08\u4e5f\u8bb8\u8fd9\u4e2a\u68a6\u6b63\u8bd5\u56fe\u544a\u8bc9\u4f60\u4e00\u4e9b\u5173\u4e8e\u672a\u6765\u7684\u4e8b\u60c5\uff1b\u4e5f\u8bb8\u5e76\u4e0d\u662f\u3002\uff09<\/span><\/p>\n

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\u5f53\u4e00\u4e2a\u8fd1\u4eb2\u60a3\u4e0a\u4e86\u4e00\u79cd\u81f4\u547d\u7684\u764c\u75c7\u65f6\uff0c\u8fd9\u4ec5\u4ec5\u662fDNA\u968f\u673a\u7a81\u53d8\u7684\u7ed3\u679c\u8fd8\u662f\u5177\u6709\u66f4\u6df1\u523b\u7684\u539f\u56e0\uff1f<\/span><\/p>\n

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<\/h1>\n

<\/span>\u6211\u4eec\u4e00\u751f\u90fd\u5728\u601d\u8003\u5468\u56f4\u53d1\u751f\u7684\u4e8b\u4ef6\u7684\u6a21\u5f0f\u3002\u6211\u4eec\u4f1a\u95ee\u81ea\u5df1\uff0c\u5b83\u4eec\u662f\u5426\u53ea\u662f\u968f\u673a\u7684\uff0c\u6216\u8005\u5b83\u4eec\u662f\u5426\u6709\u67d0\u79cd\u72ec\u7279\u7684\u771f\u5b9e\u800c\u6df1\u523b\u7684\u539f\u56e0\u3002\u4f5c\u4e3a\u4e00\u540d\u6570\u5b66\u5bb6\uff0c\u6211\u7ecf\u5e38\u6c42\u52a9\u4e8e\u6570\u5b57\u548c\u5b9a\u7406\u6765\u6df1\u5165\u4e86\u89e3\u8fd9\u4e9b\u95ee\u9898\u3002<\/span><\/span><\/h1>\n

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

\u78b0\u5de7\u7684\u662f\uff0c\u6211\u4ece\u6570\u5b66\u903b\u8f91\u7684\u4e00\u4e2a\u6700\u6df1\u5965\u7684\u5b9a\u7406\u4e2d\u4e86\u89e3\u5230\u4e00\u4e9b\u5173\u4e8e\u5728\u751f\u6d3b\u6a21\u5f0f\u4e2d\u5bfb\u627e\u610f\u4e49\u7684\u4e1c\u897f\u3002\u7b80\u5355\u5730\u8bf4\uff0c\u8fd9\u4e2a\u5b9a\u7406\u8868\u660e\uff0c\u5373\u4f7f\u5728\u539f\u5219\u4e0a\uff0c\u6211\u4eec\u4e5f\u65e0\u6cd5\u77e5\u9053\u5bf9\u67d0\u79cd\u6a21\u5f0f\u7684\u89e3\u91ca\u662f\u5426\u662f\u6700\u6df1\u523b\u6216\u6700\u6709\u8da3\u7684\u89e3\u91ca\u3002\u5c31\u50cf\u5728\u751f\u6d3b\u4e2d\u4e00\u6837\uff0c\u5728\u6570\u5b66\u4e2d\u5bfb\u627e\u610f\u4e49\u662f\u6ca1\u6709\u754c\u9650\u7684\u3002<\/span><\/p>\n

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<\/div>\n<\/div>\n

Hartverdrahtet \u8282\u9009| 2012\u5e74\u5fb7\u56fdRevision Demoparty\u6d3b\u52a8\u83b7\u5956\u4f5c\u54c1\u3002\u8fd9\u4e2a\u9707\u64bc\u7684\u5206\u5f62\u5b87\u5b99\uff0c\u662f\u7531\u4e00\u6bb5\u4e0d\u52304k\u5b57\u8282\u7684\u7a0b\u5e8f\u751f\u6210\u7684\uff0c\u8fd9\u6bd4\u4e00\u4e2aWord\u7a7a\u6587\u6863\u8fd8\u5c0f\u3002<\/strong><\/span><\/p>\n

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<\/p>\n

Kolmogorov\u590d\u6742\u5ea6\u7406\u8bba<\/strong><\/span><\/p>\n

<\/strong><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n

\u9996\u5148\uff0c\u4f5c\u4e3a\u5f00\u573a\u767d\uff0c\u6211\u4eec\u8003\u8651\u4ee5\u4e0b\u4e09\u4e2a\u5b57\u7b26\u4e32\uff1a<\/span><\/p>\n

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

    \n
  1. \n

    100100100100100100100100100100100100100100100100100100100100100100100<\/span><\/strong><\/span><\/p>\n<\/li>\n

  2. \n

    2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97<\/span><\/strong><\/span><\/p>\n<\/li>\n

  3. \n

    38386274868783254735796801834682918987459817087106701409581980418<\/span><\/strong><\/span><\/p>\n<\/li>\n<\/ol>\n

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

    \u5982\u4f55\u63cf\u8ff0\u8fd9\u4e9b\u5b57\u7b26\u4e32\u5462\uff1f\u6211\u4eec\u53ef\u4ee5\u5c06\u5b83\u4eec\u5199\u4e0b\u6765<\/span>\uff08\u50cf\u4e0a\u6587\u4e00\u6837\uff09<\/span>\u4ee5\u8fdb\u884c\u7b80\u5355\u63cf\u8ff0\uff0c\u4e0d\u8fc7\u524d\u4e24\u4e2a\u5b57\u7b26\u4e32\u7684\u63cf\u8ff0\u8f83\u77ed\uff1a\u7b2c\u4e00\u4e2a\u5b57\u7b26\u4e32\u53ef\u4ee5\u770b\u4f5c\u201c100\u201d\u7684\u7b80\u5355\u91cd\u590d\uff1b\u7b2c\u4e8c\u4e2a\u5b57\u7b26\u4e32\u53ea\u662f\u5bf9\u524d\u51e0\u4e2a\u7d20\u6570\u7684\u6392\u5217\u3002<\/span><\/span><\/p>\n

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

    \u800c\u7b2c\u4e09\u4e2a\u5b57\u7b26\u4e32\u5462\uff1f\u6211\u4eec\u4e5f\u53ef\u4ee5<\/span>\u901a\u8fc7\u8f93\u51fa\u5b57\u7b26\u4e32\u6765\u8fdb\u884c\u63cf\u8ff0\u3002\u53ea\u662f\u8fd9\u91cc\u6709\u66f4\u597d\u66f4\u7b80\u77ed\u7684\u63cf\u8ff0\u65b9\u6cd5\u5417\uff1f<\/span><\/span><\/p>\n

    \n

    \n

    \u968f\u673a\u6027\u4ee4\u4eba\u4e0d\u5b89\uff0c\u56e0\u6b64\u6211\u4eec\u5bfb\u627e\u4e00\u79cd\u6a21\u5f0f\u6765\u6d88\u9664\u4e00\u4e9b\u6df7\u4e71\u3002<\/em><\/span><\/p>\n<\/blockquote>\n

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

    20\u4e16\u7eaa60\u5e74\u4ee3\u521d\uff0c\u7f8e\u56fd\u5c11\u5e74\u683c\u91cc\u6208\u91cc\u00b7\u8521\u5ef7(Gregory Chaitin)\u3001\u4e16\u754c\u8457\u540d\u7684\u4fc4\u7f57\u65af\u6570\u5b66\u5bb6\u5b89\u5fb7\u70c8\u00b7\u79d1\u5c14\u83ab\u54e5\u6d1b\u592b(Andrey Kolmogorov)\u548c\u8ba1\u7b97\u673a\u79d1\u5b66\u5148\u9a71\u96f7\u00b7\u7d22\u7f57\u95e8\u8bfa\u592b(Ray Solomonoff)\u5206\u522b\u72ec\u7acb\u5236\u5b9a\u4e86\u4e00\u79cd\u6d4b\u91cf\u5b57\u7b26\u4e32\u590d\u6742\u5ea6\u7684\u65b9\u6cd5\u3002<\/span><\/p>\n

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

    \"\u96c6\u667a\"<\/p>\n

    \u4ed6\u4eec\u7684\u89c2\u70b9\u88ab\u79f0\u4e3aKolmogorov\u590d\u6742\u5ea6\u7406\u8bba<\/strong><\/span>\uff08<\/strong><\/span>Kolmogorov Complexity Theory\uff09<\/strong><\/span><\/span>\u6216\u7b97\u6cd5\u4fe1\u606f\u8bba<\/strong><\/span>\uff08<\/strong><\/span>Algorithmic Information Theory\uff09<\/strong><\/span><\/span>\u3002\u4ed6\u4eec\u5047\u5b9a\u5b57\u7b26\u4e32\u4e0e\u751f\u6210\u5b57\u7b26\u4e32\u7684\u6700\u77ed\u8ba1\u7b97\u673a\u7a0b\u5e8f\u7684\u957f\u5ea6\u4e00\u6837\u590d\u6742\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u53d6\u4e00\u4e2a\u5b57\u7b26\u4e32\uff0c\u7136\u540e\u5bfb\u627e\u4e00\u4e2a\u4ea7\u751f\u8fd9\u4e2a\u5b57\u7b26\u4e32\u7684\u7b80\u77ed\u7684\u8ba1\u7b97\u673a\u7a0b\u5e8f\u3002<\/span><\/p>\n

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

    \u7a0b\u5e8f\u662f\u5b57\u7b26\u4e32\u7684\u4e00\u79cd\u63cf\u8ff0\u7c7b\u578b\u3002<\/span>\u5982\u679c\u5176\u4e2d\u6700\u77ed\u7684\u7a0b\u5e8f\u975e\u5e38\u77ed\uff0c\u90a3\u4e48\u5b57\u7b26\u4e32\u6709\u4e00\u4e2a\u7b80\u5355\u7684\u6a21\u5f0f\uff0c\u4e0d\u662f\u5f88\u590d\u6742\u3002\u6211\u4eec\u8bf4\u5b57\u7b26\u4e32\u201c\u51e0\u4e4e\u6ca1\u6709\u7b97\u6cd5\u5185\u5bb9\u201d\u3002\u76f8\u53cd\uff0c\u5982\u679c\u9700\u8981\u4e00\u4e2a\u957f\u7a0b\u5e8f\u6765\u751f\u6210\u5b57\u7b26\u4e32\uff0c\u90a3\u4e48\u5b57\u7b26\u4e32\u5c31\u5f88\u590d\u6742\uff0c\u800c\u4e14\u201c\u6709\u66f4\u591a\u7684\u7b97\u6cd5\u5185\u5bb9\u201d\u3002<\/span><\/span><\/p>\n

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

    \u5bf9\u4e8e\u4efb\u4f55\u5b57\u7b26\u4e32\uff0c\u5fc5\u987b\u627e\u5230\u4ea7\u751f\u8be5\u5b57\u7b26\u4e32\u7684\u6700\u77ed\u7a0b\u5e8f\uff0c\u8be5\u7a0b\u5e8f\u7684\u957f\u5ea6\u79f0\u4e3a\u5b57\u7b26\u4e32\u7684<\/strong>Kolmogorov\u590d\u6742\u5ea6<\/strong><\/span>\uff08the Kolmogorov complexity of the string\uff09<\/span>\u3002<\/span><\/p>\n

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

    \u6211\u4eec\u518d\u8003\u8651\u4e00\u4e0b\u4e0a\u9762\u4e09\u4e2a\u5b57\u7b26\u4e32\u3002\u524d\u4e24\u4e2a\u5b57\u7b26\u4e32\u90fd\u53ef\u4ee5\u7528\u76f8\u5bf9\u8f83\u77ed\u7684\u8ba1\u7b97\u673a\u7a0b\u5e8f\u6765\u63cf\u8ff0\uff0c\u5373\uff1a<\/span><\/p>\n

      \n
    • \n

      \u8f93\u51fa30\u6b21\u201c100\u201d<\/span><\/strong><\/span><\/p>\n<\/li>\n

    • \n

      \u8f93\u51fa\u524d25\u4e2a\u7d20\u6570<\/span><\/strong><\/span><\/p>\n

      <\/span><\/strong><\/span><\/p>\n<\/li>\n<\/ul>\n

      \u56e0\u4e3a\u7b2c\u4e00\u4e2a\u5b57\u7b26\u4e32\u7684\u7a0b\u5e8f\u8f83\u7b2c\u4e8c\u4e2a\u66f4\u77ed\uff0c\u6240\u4ee5\u7b2c\u4e00\u4e2a\u5b57\u7b26\u4e32\u7684Kolmogorov\u590d\u6742\u5ea6\u5c0f\u4e8e\u7b2c\u4e8c\u4e2a\u5b57\u7b26\u4e32\u7684Kolmogorov\u590d\u6742\u5ea6\u3002<\/span><\/p>\n

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

        <\/ol>\n

        \u800c\u7b2c\u4e09\u4e2a\u5b57\u7b26\u4e32\u5462\uff1f\u8fd9\u4e2a\u5b57\u7b26\u4e32\u5e76\u6ca1\u6709\u660e\u663e\u7684\u89c4\u5f8b\u53ef\u5faa\uff1b\u7136\u800c\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u901a\u8fc7\u4e0b\u9762\u8fd9\u4e2a\u76f8\u5bf9\u611a\u8822\u7684\u7a0b\u5e8f\u8f93\u51fa\u8fd9\u4e2a\u5e8f\u5217\uff0c\u5373<\/span><\/p>\n

          \n
        • \n

          \u8f93\u51fa<\/strong><\/span><\/p>\n

          \u201c38386274868783254735796801834682918987459817087106701409581980418\u201d<\/strong><\/span><\/p>\n<\/li>\n<\/ul>\n

          \u4f46\u8fd9\u4e2a\u7a0b\u5e8f\u5e76\u4e0d\u4ee4\u4eba\u6ee1\u610f\uff0c\u5373\u4f7f\u5b83\u53ef\u4ee5\u8f93\u51fa\u7b2c\u4e09\u4e2a\u5b57\u7b26\u4e32\u3002<\/span><\/p>\n

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

          \u6700\u77ed\u7a0b\u5e8f<\/strong><\/span><\/p>\n

          <\/strong><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

          \u4e5f\u8bb8\u5b58\u5728\u4e00\u4e2a\u8f83\u77ed\u7684\u7a0b\u5e8f\uff0c\u5176\u4e2d\u8574\u542b\u7740\u8fd9\u4e2a\u5b57\u7b26\u4e32\u7684\u4e00\u4e9b\u89c4\u5f8b\u3002\u8fd9\u91cc\uff0c\u5f53\u751f\u6210\u5b57\u7b26\u4e32\u7684\u6700\u77ed\u7a0b\u5e8f\u53ea\u662f\u201c\u8f93\u51fa\u5b57\u7b26\u4e32\u201d\u65f6\uff0c\u6211\u4eec\u8bf4\u8fd9\u4e2a\u5b57\u7b26\u4e32\u975e\u5e38\u590d\u6742\u5e76\u4e14\u4e0d\u5b58\u5728\u5df2\u77e5\u89c4\u5f8b\u3002\u4e0d\u5b58\u5728\u4efb\u4f55\u89c4\u5f8b\u7684\u5b57\u7b26\u4e32\u79f0\u4e3a\u968f\u673a\u5b57\u7b26\u4e32\u3002<\/span><\/p>\n

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

          \u7136\u800c<\/span>\uff0c\u867d\u7136\u76ee\u524d\u6211\u4eec\u5e76\u6ca1\u6709\u53d1\u73b0\u4efb\u4f55\u89c4\u5f8b\uff0c\u4f46\u89c4\u5f8b\u4ecd\u7136\u6709\u53ef\u80fd\u5b58\u5728\u3002\u5728\u6570\u5b66\u4e2d\uff0c\u5c31\u50cf\u5728\u751f\u6d3b\u4e2d\u4e00\u6837\uff0c\u6211\u4eec\u9762\u4e34\u7740\u8bb8\u591a\u770b\u4f3c\u968f\u673a\u7684\u6a21\u5f0f\u3002<\/span><\/span><\/p>\n

          \n

          \u8fd9\u65f6\uff0c\u6211\u4eec\u53ef\u80fd\u4f1a\u5c1d\u8bd5\u4f7f\u7528\u73b0\u4ee3\u8ba1\u7b97\u673a\u7684\u5f3a\u5927\u529f\u80fd\u6765\u627e\u5230\u4e00\u4e9b\u6a21\u5f0f\u5e76\u5f97\u5230\u6700\u77ed\u7684\u7a0b\u5e8f\u3002<\/span><\/p>\n

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

          \u5982\u679c\u6709\u4e00\u53f0\u8ba1\u7b97\u673a\u53ef\u4ee5\u7b80\u5355\u8ba1\u7b97\u4efb\u4f55\u5b57\u7b26\u4e32\u7684Kolmogorov\u590d\u6742\u5ea6\uff0c\u90a3\u5c82\u4e0d\u662f\u5f88\u597d\uff1f\u6b64\u8ba1\u7b97\u673a\u5c06\u5b57\u7b26\u4e32\u4f5c\u4e3a\u8f93\u5165\uff0c\u5e76\u8f93\u51fa\u53ef\u751f\u6210\u8be5\u5b57\u7b26\u4e32\u7684\u6700\u77ed\u7a0b\u5e8f\u7684\u957f\u5ea6\u3002\u5f53\u7136\uff0c\u6709\u4e86\u4eba\u5de5\u667a\u80fd\u3001\u6df1\u5ea6\u5b66\u4e60\u3001\u5927\u6570\u636e\u3001\u91cf\u5b50\u8ba1\u7b97\u7b49\u5404\u79cd\u65b0\u9896\u7684\u8ba1\u7b97\u673a\u5de5\u5177\uff0c\u521b\u9020\u51fa\u8fd9\u6837\u4e00\u53f0\u8ba1\u7b97\u673a\u662f\u5f88\u5bb9\u6613\u7684\u3002<\/span><\/p>\n

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

          \"\u96c6\u667a\"<\/p>\n

          Mandelbrot \u96c6\u7684\u5206\u5f62\u56fe\u5c40\u90e8\u3002\u8fd9\u5f20\u56fe\u7247\u4e2d\u6bcf\u4e2a\u50cf\u7d20\u752824\u4f4d\u8272\u8868\u793a\uff0c\u9700\u8981162\u4e07\u4e2a\u5b57\u8282\u624d\u80fd\u5b58\u50a8\u3002\u4f46\u666e\u901a\u8ba1\u7b97\u673a\u7a0b\u5e8f\u5c31\u53ef\u4ee5\u4f7f\u7528Mandelbrot\u96c6\u7684\u5b9a\u4e49\u548c\u56fe\u50cf\u56db\u89d2\u5750\u6807\uff0c\u6765\u91cd\u73b0\u8fd9162\u4e07\u5b57\u8282\u6240\u8868\u793a\u7684\u56fe\u50cf\u3002\u6240\u4ee5\u7f16\u7801\u8fd9\u4e2a\u56fe\u7247\u7684Kolmogorov\u590d\u6742\u5ea6\u5143\u5c0f\u4e8e162\u4e07\u5b57\u8282\u3002| wikipedia<\/strong><\/span><\/p>\n

          \n

          <\/span>\u5509\uff0c\u53ef\u662f\u8fd9\u6837\u7684\u8ba1\u7b97\u673a\u662f\u4e0d\u53ef\u80fd\u5b58\u5728\u7684\uff01\u5c3d\u7ba1\u73b0\u4ee3\u8ba1\u7b97\u673a\u529f\u80fd\u5f3a\u5927\uff0c\u8fd9\u9879\u4efb\u52a1\u8fd8\u662f\u65e0\u6cd5\u5b8c\u6210\u3002\u8fd9\u662f\u6570\u5b66\u903b\u8f91\u4e2d\u6700\u6df1\u523b\u7684\u5b9a\u7406\u4e4b\u4e00\u7684\u5185\u5bb9\u3002<\/span><\/p>\n

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

          \u8be5\u5b9a\u7406\u8868\u660e\u6211\u4eec\u65e0\u6cd5\u8ba1\u7b97\u4e00\u4e2a\u5b57\u7b26\u4e32\u7684Kolmogorov\u590d\u6742\u5ea6\uff0c\u6ca1\u6709\u4efb\u4f55\u673a\u68b0\u8bbe\u5907\u80fd\u591f\u786e\u5b9a\u4ea7\u751f\u7ed9\u5b9a\u5b57\u7b26\u4e32\u7684\u6700\u5c0f\u7a0b\u5e8f\u7684\u5927\u5c0f\u3002<\/span><\/p>\n

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

          \u8fd9\u5e76\u4e0d\u662f\u8bf4\u6211\u4eec\u76ee\u524d\u7684\u8ba1\u7b97\u673a\u6280\u672f\u6c34\u5e73\u4e0d\u8db3\u4ee5\u5b8c\u6210\u624b\u5934\u7684\u4efb\u52a1\uff0c\u4e5f\u4e0d\u662f\u8bf4\u6211\u4eec\u4e0d\u591f\u806a\u660e\uff0c\u65e0\u6cd5\u7f16\u5199\u7b97\u6cd5\u3002\u76f8\u53cd\uff0c\u4e8b\u5b9e\u8bc1\u660e\uff0c\u63cf\u8ff0\u548c\u8ba1\u7b97\u7684\u6982\u5ff5\u8868\u660e\uff0c\u6ca1\u6709\u8fd9\u6837\u7684\u8ba1\u7b97\u673a\u80fd\u591f\u4e3a\u6bcf\u4e00\u4e2a\u5b57\u7b26\u4e32\u6267\u884c\u8fd9\u6837\u7684\u4efb\u52a1\u3002<\/span><\/p>\n

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

          \u867d\u7136\u8ba1\u7b97\u673a\u53ef\u80fd\u4f1a\u5728\u5b57\u7b26\u4e32\u4e2d\u627e\u5230\u67d0\u4e9b\u6a21\u5f0f\uff0c\u4f46\u5b83\u627e\u4e0d\u5230\u6700\u4f73\u6a21\u5f0f<\/strong>\uff1b\u6211\u4eec\u53ef\u80fd\u4f1a\u627e\u5230\u4e00\u4e9b\u8f93\u51fa\u7279\u5b9a\u6a21\u5f0f\u7684\u77ed\u7a0b\u5e8f\uff0c\u4f46\u4ecd\u53ef\u80fd\u5b58\u5728\u66f4\u77ed\u7684\u7a0b\u5e8f\u3002\u5bf9\u6b64\u6211\u4eec\u6c38\u8fdc\u65e0\u6cd5\u786e\u5b9a\u3002<\/span><\/p>\n

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

          \u8bc1\u660e\u4e0d\u53ef\u8ba1\u7b97\u6027<\/strong><\/span><\/p>\n

          <\/strong><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

          \u5173\u4e8e\u4e00\u4e2a\u5b57\u7b26\u4e32\u7684Kolmogorov\u590d\u6742\u5ea6\u7684\u4e0d\u53ef\u8ba1\u7b97\u6027\u7684\u8bc1\u660e\u662f\u9700\u8981\u4e00\u4e9b\u6280\u5de7\u7684\u3002\u4e0d\u8fc7\u8fd9\u662f\u4e00\u4e2a\u901a\u8fc7\u53cd\u8bc1\u6cd5\u7684\u8bc1\u660e\uff0c\u5e76\u4e14\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u4e0b\u9762\u4e24\u4e2a\u5c0f\u6096\u8bba\u6765\u4f53\u4f1a\u4e00\u4e0b\u5b83\u662f\u5982\u4f55\u8fdb\u884c\u7684\u3002<\/span><\/p>\n

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

          \u6709\u8da3\u6570\u5b57\u6096\u8bba\u56f4\u7ed5\u7740\u6240\u6709\u81ea\u7136\u6570\u90fd\u662f\u6709\u8da3\u7684\u800c\u5c55\u5f00\u3002\u4f8b\u5982\uff0c1\u662f\u7b2c\u4e00\u4e2a\u6570\u5b57\uff0c\u6240\u4ee5\u5b83\u5f88\u6709\u8da3\uff1b2\u662f\u7b2c\u4e00\u4e2a\u5076\u6570\uff1b3\u662f\u7b2c\u4e00\u4e2a\u5947\u7d20\u6570\uff1b4\u4e5f\u5f88\u6709\u610f\u601d\uff0c\u56e0\u4e3a4 = 2\u00d72\u4e144 = 2 + 2\u3002\u4e8e\u662f\uff0c\u6211\u4eec\u53ef\u4ee5\u7ee7\u7eed\u4ee5\u8fd9\u79cd\u65b9\u5f0f\u627e\u5230\u8bb8\u591a\u6570\u5b57\u6709\u8da3\u7684\u5c5e\u6027\u3002\u800c\u6709\u65f6\uff0c\u6211\u4eec\u53ef\u80fd\u4f1a\u627e\u5230\u4e00\u4e9b\u4f3c\u4e4e\u65e0\u8da3\u7684\u6570\u5b57\u3002\u6211\u4eec\u53ef\u4ee5\u5c06\u8fd9\u4e2a\u6570\u5b57\u79f0\u4e3a\u7b2c\u4e00\u4e2a\u65e0\u8da3\u7684\u6570\u5b57\u3002\u4f46\u8fd9\u672c\u8eab\u53c8\u662f\u4e00\u4e2a\u6709\u8da3\u7684\u6027\u8d28\u3002\u56e0\u6b64\uff0c\u65e0\u8da3\u7684\u6570\u5b57\u5b9e\u9645\u4e0a\u4e5f\u5f88\u6709\u610f\u601d\uff01<\/span>\u8fd9\u4fbf\u5bfc\u51fa\u4e86\u77db\u76fe\u3002<\/span><\/p>\n

          \n

          \n

          \u6211\u4eec\u6839\u672c\u4e0d\u77e5\u9053\u6211\u4eec\u53d1\u73b0\u7684\u6a21\u5f0f\u662f\u5426\u662f\u6700\u597d\u7684\u3002<\/em><\/span><\/p>\n<\/blockquote>\n

          \n

          Kolmogorov\u8bc1\u660e\u4e2d\u7684\u601d\u60f3\u4e5f\u4e0e\u57f9\u91cc(Berry)\u6096\u8bba\u4e2d\u7684\u601d\u60f3\u7c7b\u4f3c\uff0c\u540e\u8005\u5173\u4e8e\u63cf\u8ff0\u5927\u91cf\u6570\u5b57\u3002\u4e00\u822c\u5730\uff0c\u4f7f\u7528\u7684\u5355\u8bcd\u8d8a\u591a\uff0c\u4f60\u53ef\u4ee5\u63cf\u8ff0\u7684\u6570\u5b57\u8d8a\u5927\u3002\u4f8b\u5982\uff0c\u4f60\u53ef\u4ee5\u7528\u4e09\u4e2a\u5b57\u63cf\u8ff0\u201c\u4e00\u4e07\u4ebf<\/strong>\u201d\uff1b\u800c\u4f60\u53ef\u4ee5\u7528\u4e94\u4e2a\u5b57\u63cf\u8ff0\u201c\u4e00\u4e07\u4ebf\u4e07\u4ebf<\/strong>\u201d\uff0c\u663e\u7136\u8fd9\u4e2a\u6570\u5b57\u8981\u5927\u5f97\u591a\u3002\u73b0\u5728\u6211\u4eec\u8003\u8651\u4ee5\u4e0b\u77ed\u8bed\u63cf\u8ff0\u7684\u6570\u5b57\uff1a<\/span><\/p>\n

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

          \u201c\u5c11\u4e8e15\u4e2a\u5b57\u65e0\u6cd5\u63cf\u8ff0\u7684\u6700\u5c0f\u6570\u5b57\u3002\u201d<\/em><\/span><\/p>\n

          \u201cThe smallest number that cannot be described in less than 15 words.\u201d<\/em><\/span><\/p>\n

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

          \u5373\u63cf\u8ff0\u8fd9\u4e2a\u6570\u5b57\u9700\u8981\u752815\u300116\u751a\u81f3\u66f4\u591a\u7684\u5b57\uff0c\u800c\u4e0d\u80fd\u4ec5\u752812\u300113\u621614\u4e2a\u5b57\u6765\u63cf\u8ff0\u3002\u7136\u800c\uff0c\u8fd9\u91cc\u5b58\u5728\u4e00\u4e2a\u95ee\u9898\uff1a\u4e0a\u8ff0\u77ed\u8bed\u4e2d\u4ec5\u7528<\/span>14\u4e2a\u5b57\uff08\u82f1\u6587\u539f\u6587\u5bf9\u5e9412\u4e2a\u5355\u8bcd\uff09\u63cf\u8ff0\u4e86\u8fd9\u4e2a\u6570\u5b57\u3002\u6211\u4eec\u5bf9\u8be5\u6570\u7684\u63cf\u8ff0\u6b63\u597d\u4e5f\u8fdd\u53cd\u4e86\u8be5\u6570\u7684\u63cf\u8ff0\u3002\u8fd9\u663e\u7136\u662f\u4e00\u4e2a\u77db\u76fe\u3002<\/span><\/span><\/p>\n

          \n

          \u65e0\u8bba\u5728\u6709\u8da3\u6570\u5b57\u6096\u8bba\u8fd8\u662f\u5728\u57f9\u91cc\u6096\u8bba\u4e2d\uff0c\u6211\u4eec\u90fd\u5047\u8bbe\u5b58\u5728\u4e00\u79cd\u786e\u5b9a\u7684\u63cf\u8ff0\u65b9\u5f0f\uff0c\u4e8e\u662f\u5bfc\u81f4\u4e86\u4e0a\u8ff0\u77db\u76fe<\/strong>\u3002\u7c7b\u4f3c\u5730\uff0c\u5173\u4e8eKolmogorov\u590d\u6742\u5ea6\u4e0d\u53ef\u8ba1\u7b97\u7684\u8bc1\u660e\u4e5f\u6e90\u4e8e\u8fd9\u6837\u4e00\u4e2a\u4e8b\u5b9e\uff0c<\/span>\u5982\u679c\u6211\u4eec\u5047\u8bbe\u5176\u5b58\u5728\uff0c\u90a3\u4e48\u6211\u4eec\u4e5f\u4f1a\u53d1\u73b0\u77db\u76fe\u3002<\/span><\/span><\/p>\n

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

          \u590d\u6742\u7684\u73b0\u5b9e\u4e16\u754c<\/strong><\/span><\/p>\n

          <\/strong><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

          \u5f53\u7136\uff0cKolmogorov\u590d\u6742\u5ea6\u4e0d\u53ef\u8ba1\u7b97\u7684\u4e8b\u5b9e\u662f\u7eaf\u6570\u5b66\u7684\u7ed3\u679c\uff0c\u6211\u4eec\u4e0d\u5e94\u8be5\u5c06\u8fd9\u4e2a\u539f\u59cb\u7684\u9886\u57df\u4e0e\u66f4\u590d\u6742\u3001\u66f4\u6df7\u4e71\u7684\u73b0\u5b9e\u4e16\u754c\u6df7\u4e3a\u4e00\u8c08\u3002\u7136\u800c\uff0c\u5728\u8003\u8651\u73b0\u5b9e\u4e16\u754c\u65f6\uff0c\u7684\u786e\u4f1a\u5b58\u5728\u4e00\u4e9b\u4e0eKolmogorov\u590d\u6742\u5ea6\u7406\u8bba\u76f8\u5173\u7684\u5171\u540c\u4e3b\u9898\u3002<\/span><\/p>\n

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

          \"\u96c6\u667a\"<\/p>\n

          \u540c\u4e00\u4e2a\u5706\u4e0a\u7684\u4e24\u6bb5\u5f27\uff0c\u54ea\u4e2a\u66f4\u590d\u6742\uff1f<\/strong><\/span><\/p>\n

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

          \u5f88\u591a\u65f6\u5019\uff0c\u6211\u4eec\u4f1a\u53d1\u73b0\u4e00\u4e9b\u770b\u8d77\u6765\u5b8c\u5168\u6df7\u4e71\u7684\u4e8b\u60c5\u3002\u8fd9\u79cd\u968f\u673a\u6027\u5982\u6b64\u4ee4\u4eba\u4e0d\u5b89\uff0c\u56e0\u6b64\u6211\u4eec\u8bd5\u56fe\u5bfb\u627e\u4e00\u79cd\u80fd\u591f\u6d88\u9664\u4e00\u4e9b\u6df7\u4e71\u7684\u6a21\u5f0f\u89c4\u5f8b\u3002<\/span><\/p>\n

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

          \u5982\u679c\u6211\u4eec\u786e\u5b9e\u627e\u5230\u4e86\u4e00\u79cd\u6a21\u5f0f\uff0c\u4f46\u662f\u6211\u4eec\u4ecd\u4e0d<\/span>\u6e05\u695a\u5b83\u662f\u5426\u662f\u80fd\u591f\u89e3\u91ca\u6211\u4eec\u6240\u770b\u5230\u7684\u4e8b\u60c5\u7684\u6700\u4f73\u6a21\u5f0f\u3002\u6211\u4eec\u53ef\u80fd\u4f1a\u95ee\u81ea\u5df1\u662f\u5426\u8fd8\u5b58\u5728\u66f4\u6df1\u5c42\u6b21\u7684\u6a21\u5f0f\u4ece\u800c\u53ef\u4ee5\u63d0\u4f9b\u66f4\u597d\u7684\u89e3\u91ca\u3002<\/span><\/span><\/p>\n

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

          Kolmogorov\u590d\u6742\u5ea6\u7406\u8bba\u5c31\u544a\u8bc9\u6211\u4eec\uff0c\u5728\u6700\u6df1\u7684\u5c42\u9762\u4e0a\uff0c\u5e76\u6ca1\u6709\u786e\u5b9a\u7684\u65b9\u6cd5\u6765\u786e\u5b9a\u6700\u4f73\u6a21\u5f0f\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u6211\u4eec\u6839\u672c\u4e0d\u77e5\u9053\u6211\u4eec\u53d1\u73b0\u7684\u6a21\u5f0f\u6216\u8005\u89c4\u5f8b\u662f\u5426\u662f\u6700\u597d\u7684<\/strong>\u3002<\/span><\/p>\n

          \n

          \u4f46\u662f\uff0c\u8fd9\u540c\u65f6\u4e5f\u610f\u5473\u7740\u6211\u4eec\u7684\u63a2\u7d22\u59cb\u7ec8\u4f1a\u5f88\u6709\u8da3\u3002\u6bd5\u7adf\uff0c\u6709\u8da3\u7684\u4e8b\u60c5\u5f80\u5f80\u90fd\u9700\u8981\u66f4\u591a\u7684\u601d\u8003\uff1b\u800c\u663e\u800c\u6613\u89c1\u4e14\u5b8c\u5168\u7406\u89e3\u7684\u4e8b\u5b9e\u4e0d\u9700\u8981\u8fdb\u4e00\u6b65\u7684\u601d\u8003\u3002\u4f8b\u5982\uff0c6\u4e587\u7b49\u4e8e42\u662f\u5b8c\u5168\u53ef\u7406\u89e3\u7684\u4e5f\u662f\u65e0\u8da3\u7684\u3002\u5f53\u6211\u4eec\u4e0d\u786e\u5b9a\u67d0\u79cd\u60f3\u6cd5\u65f6\u6211\u4eec\u9700\u8981\u4e0d\u65ad\u5730\u8fdb\u4e00\u6b65\u601d\u8003\uff0c\u4e8e\u662f\u5bfb\u627e\u66f4\u597d\u7684\u6a21\u5f0f\u6216\u8005\u89c4\u5f8b\u603b\u662f\u5f88\u6709\u8da3\u7684\u3002<\/span><\/p>\n

          \n

          \n

          \u6211\u4eec\u60f3\u77e5\u9053\u5468\u56f4\u7684\u4e16\u754c\u6709\u4e00\u4e9b\u610f\u4e49\uff0c\u76ee\u7684\u548c\u4ef7\u503c\u3002<\/em><\/span><\/p>\n<\/blockquote>\n

          \n

          \u73b0\u5b9e\u4e16\u754c\u4e2d\u663e\u7136\u5305\u542b\u7740\u66f4\u591a\u7684\u590d\u6742\u6027\u3002\u5c3d\u7ba1\u5728\u5b57\u7b26\u4e32\u4ee5\u53ca\u8ba1\u7b97\u673a\u7a0b\u5e8f\u4e2d\u901a\u5e38\u6ca1\u6709\u9519\u8bef\uff0c\u7136\u800c\u5728\u73b0\u5b9e\u4e16\u754c\u4e2d\u6211\u4eec\u53ef\u4ee5\u5e76\u4e14\u786e\u5b9e\u4f1a\u72af\u9519\u3002<\/span><\/p>\n

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

          \u4e8b\u5b9e\u4e0a\uff0c\u6211\u4eec\u53ef\u4ee5\u5f88\u5bb9\u6613\u5730\u770b\u5230\u67d0\u4e2a\u7a0b\u5e8f\u662f\u5426\u8f93\u51fa\u4e00\u4e2a\u5b57\u7b26\u4e32\uff0c<\/span>\u867d\u7136\u6211\u4eec\u53ef\u80fd\u65e0\u6cd5\u786e\u5b9a\u8f93\u51fa\u7279\u5b9a\u5b57\u7b26\u4e32\u7684\u6700\u4f73\u7a0b\u5e8f\uff0c\u4f46\u6211\u4eec\u53ef\u4ee5\u786e\u5b9a\u7a0b\u5e8f\u662f\u5426\u8f93\u51fa\u4e86\u6240\u9700\u7684\u5b57\u7b26\u4e32\u3002\u76f8\u6bd4\u4e4b\u4e0b\uff0c\u73b0\u5b9e\u4e16\u754c\u8981\u590d\u6742\u5f97\u591a\u3002<\/span><\/span><\/p>\n

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

          \u6211\u4eec\u53ef\u4ee5\u8ba4\u4e3a\u6211\u4eec\u8ba4\u8bc6\u4e00\u4e2a\u6a21\u5f0f\uff0c\u4f46\u4e8b\u5b9e\u4e0a\uff0c\u6211\u4eec\u9519\u4e86\u3002<\/span><\/p>\n

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

          \u5bfb\u627e\u89c4\u5f8b\u548c\u610f\u4e49<\/strong><\/span><\/p>\n

          <\/strong><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

          \u73b0\u5728\uff0c\u6211\u4eec\u5bf9\u5bfb\u627e\u610f\u4e49\u7684\u7406\u89e3\u5f00\u59cb\u878d\u5408\u5728\u4e00\u8d77\u3002\u6211\u4eec\u8ba8\u538c\u968f\u610f\u6027\u800c\u559c\u6b22\u89c4\u5f8b\u3002<\/span><\/p>\n

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

          \u6211\u4eec\u5929\u751f\u5c31\u503e\u5411\u53bb\u53d1\u73b0\u4e00\u4e9b\u6a21\u5f0f\u6216\u89c4\u5f8b\u53bb\u89e3\u91ca\u4e00\u4e9b\u4e8b\u60c5\uff0c\u4f46\u6211\u4eec\u6c38\u8fdc\u65e0\u6cd5\u786e\u5b9a\u6211\u4eec\u627e\u5230\u7684\u89c4\u5f8b\u662f\u5426\u6b63\u786e\u3002\u5373\u4f7f\u6211\u4eec\u80fd\u591f\u4ee5\u67d0\u79cd\u65b9\u5f0f\u786e\u4fe1\u6211\u4eec\u6ca1\u6709\u72af\u9519\uff0c\u6211\u4eec\u6b63\u5c55\u73b0\u51fa\u7c7b\u4f3c\u8ba1\u7b97\u673a\u7684\u5b8c\u7f8e\uff0c\u4f46\u5176\u4e2d\u4ecd\u6709\u53ef\u80fd\u5b58\u5728\u66f4\u6df1\u5c42\u6b21\u7684\u771f\u7406\u3002<\/span><\/span><\/p>\n

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

          \u5f53\u7136\uff0c\u8fd9\u79cd\u4e0d\u5b89\u6709\u52a9\u4e8e\u6fc0\u53d1\u6211\u4eec\u5bf9\u6587\u5b66\u3001\u620f\u5267\u548c\u7535\u5f71\u7684\u70ed\u7231\u3002\u5f53\u6211\u4eec\u9605\u8bfb\u5c0f\u8bf4\u6216\u89c2\u770b\u620f\u5267\u65f6\uff0c\u4f5c\u8005\u6216\u5bfc\u6f14\u4f1a\u5411\u6211\u4eec\u5448\u73b0\u4e00\u7cfb\u5217\u5177\u6709<\/span>\u5171\u540c\u4e3b\u9898\u3001\u6a21\u5f0f\u6216\u5bd3\u610f\u7684\u4e8b\u4ef6\u3002\u73b0\u5b9e\u4e16\u754c\u4e2d\uff0c\u96be\u4ee5\u7406\u89e3\u53c8\u6beb\u65e0\u610f\u4e49\u7684\u6df7\u4e71\u5c06\u6211\u4eec\u5305\u88f9\uff0c\u800c\u6587\u5b66\u3001\u620f\u5267\u548c\u7535\u5f71\u7ed9\u6211\u4eec\u63d0\u4f9b\u4e86\u4e00\u4e2a\u6109\u5feb\u5730\u9003\u79bb\u6df7\u4e71\u7684\u673a\u4f1a\u3002\u771f\u6b63\u4f18\u79c0\u7684\u6587\u5b66\u4f5c\u54c1\u8d70\u5f97\u66f4\u8fdc\uff0c\u5b83\u4eec\u7ed9\u4e16\u4eba\u7559\u4e0b\u4e86\u591a\u79cd\u89e3\u8bfb\u7684\u53ef\u80fd\u6027\u3002<\/span>\u6211\u4eec\u5c06\u80fd\u591f\u76f4\u9762Kolmogorov\u590d\u6742\u5ea6\u7684\u4e0d\u53ef\u8ba1\u7b97\u7684\u4e8b\u5b9e\u3002<\/span><\/p>\n

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

          \u5e76\u4e14\uff0c<\/span>\u8fd9\u79cd\u4e0d\u5b89\u4e5f\u51b3\u5b9a\u4e86\u6211\u4eec\u5982\u4f55\u5bf9\u5f85\u81ea\u5df1\u7684\u751f\u6d3b\u3002\u5f53\u6211\u4eec\u7ecf\u5386\u751f\u6d3b\u4e2d\u770b\u4f3c\u968f\u673a\u7684\u4e8b\u4ef6\u65f6<\/span>\uff0c\u6211\u4eec\u4e5f\u6b63\u5728\u5bfb\u627e\u4e00\u4e9b\u89c4\u5f8b\u548c\u7ed3\u6784\u3002\u751f\u6d3b\u5145\u6ee1\u4e86\u201c\u8dcc\u5b95\u8d77\u4f0f\u201d\u3002\u6709\u65f6\u4f1a\u5760\u5165\u7231\u6cb3\uff0c\u4e0e\u5b69\u5b50\u4eec\u4e00\u8d77\u6b22\u7b11\uff0c\u5728\u5b8c\u6210\u8270\u96be\u5de5\u4f5c\u540e\u611f\u5230\u6210\u5c31\u7684\u4e50\u8da3\uff1b\u6709\u65f6\u53c8\u4f1a\u4e3a\u7834\u788e\u7684\u5173\u7cfb\u3001\u52aa\u529b\u5de5\u4f5c\u540e\u7684\u5931\u8d25\u7ed3\u5c40\u800c\u75db\u82e6\uff0c\u6216\u8005\u7ecf\u5386\u4eb2\u4eba\u53bb\u4e16\u7684\u60b2\u5267\u3002<\/span><\/span><\/p>\n

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

          \u6211\u4eec\u8bd5\u56fe\u7406\u89e3\u8fd9\u4e00\u5207\u3002\u6211\u4eec\u538c\u6076\u5b8c\u5168\u968f\u673a\u6027\u7684\u611f\u89c9\uff0c\u538c\u6076\u6211\u4eec\u53ea\u662f\u9075\u5faa\u6df7\u4e71\u7684\u3001\u4e60\u60ef\u6027\u7684\u7269\u7406\u5b66\u6cd5\u5219\u7684\u89c2\u70b9\u3002\u6211\u4eec\u60f3\u77e5\u9053\u8eab\u8fb9\u7684\u4e16\u754c\u5b58\u5728\u4e00\u4e9b\u610f\u4e49\uff0c\u76ee\u7684\u548c\u4ef7\u503c\u3002\u6211\u4eec\u60f3\u8981\u4e00\u4e2a\u795e\u5947\u7684\u751f\u6d3b\u6545\u4e8b<\/span>\uff0c\u6240\u4ee5\u6211\u4eec\u7ed9\u81ea\u5df1\u8bb2\u6545\u4e8b\u3002<\/span><\/span><\/p>\n

          \n

          \u7136\u800c\u6709\u65f6\u8fd9\u4e9b\u6545\u4e8b\u5b8c\u5168\u662f\u5047\u7684\u3002\u6709\u65f6\u6211\u4eec\u6b3a\u9a97\u81ea\u5df1\u548c\u5468\u56f4\u7684\u4eba\uff0c\u800c\u6709\u65f6\u6211\u4eec\u786e\u5b9a\u7684\u89c4\u5f8b\u53c8\u662f\u5bf9\u7684\u3002\u4f46\u5373\u4f7f\u6545\u4e8b\u662f\u5bf9\u7684\uff0c\u4e5f\u4e0d\u4e00\u5b9a\u662f\u6700\u597d\u7684\u3002\u6211\u4eec\u6c38\u8fdc\u65e0\u6cd5\u77e5\u9053\u662f\u5426\u6709\u66f4\u6df1\u5c42\u6b21\u7684\u66f4\u51c6\u786e\u6545\u4e8b\u3002<\/span><\/p>\n

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

          \u968f\u7740\u5e74\u9f84\u7684\u589e\u957f<\/span>\u548c\u538c\u5026\u7684\u6298\u78e8\uff0c\u6211\u4eec\u5bf9\u5b87\u5b99\u6709\u4e86\u4e00\u4e9b\u4ee5\u524d\u4ece\u672a\u89c1\u8fc7\u7684\u6d1e\u89c1\u3002\u6211\u4eec\u627e\u5230\u4e86\u66f4\u597d\u7684\u89c4\u5f8b\u3002\u4e5f\u8bb8\u6211\u4eec\u53ef\u4ee5\u66f4\u6e05\u695a\u5730\u8ba4\u8bc6\u4e16\u754c\uff0c\u4e5f\u8bb8\u6211\u4eec\u5e76\u4e0d\u80fd\u3002\u8fd9\u4e9b\u6211\u4eec\u6c38\u8fdc\u4e5f\u4e0d\u4f1a\u77e5\u9053\uff0c\u4f46\u6211\u4eec\u77e5\u9053\u4eba\u4eec\u7684\u63a2\u7d22\u6c38\u65e0\u6b62\u5883\u3002<\/span><\/span><\/p>\n

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

          \n

          \u8bd1\u8005\uff1aSBu<\/span><\/p>\n

          \u5ba1\u6821\uff1a\u5218\u57f9\u6e90<\/span><\/p>\n

          \u7f16\u8f91\uff1a\u738b\u6021\u853a<\/span><\/p>\n

          \u539f\u6587\u5730\u5740\uff1a<\/span><\/p>\n

          http:\/\/nautil.us\/issue\/63\/horizons\/kolmogorov-complexity-and-our-search-for-meaning<\/span><\/p>\n<\/blockquote>\n

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

          \n

          \n

          \n
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          <\/p>\n

          \u63a8\u8350\u9605\u8bfb<\/strong><\/span><\/p>\n

          <\/strong><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n

          Nature\u6700\u65b0\u590d\u6742\u6027\u79d1\u5b66\u8bba\u6587\u7efc\u8ff0<\/span><\/strong><\/span><\/a><\/p>\n

          \u4e00\u6587\u8bfb\u61c2\u590d\u6742\u7f51\u7edc\u4e0e\u7fa4\u4f53\u667a\u6167<\/a><\/span><\/strong><\/span><\/p>\n

          Mathematica | \u8d28\u6570\u5206\u5e03\u4e2d\u7684\u5206\u5f62\u51e0\u4f55<\/span><\/strong><\/span><\/a><\/p>\n

          \u7b80\u5355\u7684\u6570\u5b66\u6a21\u578b\uff0c\u590d\u6742\u7684\u56e0\u679c\u5173\u7cfb<\/a><\/span><\/strong><\/span><\/p>\n

          \u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/span><\/strong><\/span><\/a><\/p>\n

          \n
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          <\/p>\n

          \u63a8\u8350\u8bfe\u7a0b<\/strong><\/span><\/p>\n

          <\/strong><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n

          \n

          \n

          \"\u96c6\u667a\"<\/div>\n

          \u8bfe\u7a0b\u5730\u5740\uff1ahttps:\/\/campus.swarma.org\/gcou=10297<\/span><\/p>\n

          \n
          \n
          \"\u96c6\u667a\"<\/div>\n
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          \n
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          \n

          \u96c6\u667aQQ\u7fa4\uff5c292641157<\/span><\/strong><\/p>\n

          \u5546\u52a1\u5408\u4f5c\u53ca\u6295\u7a3f\u8f6c\u8f7d\uff5cswarma@swarma.org<\/span><\/strong><\/p>\n

          \n

          \u25c6<\/span>\u25c6<\/span>\u25c6<\/span><\/span><\/strong><\/strong><\/h1>\n<\/section>\n

          \u641c\u7d22\u516c\u4f17\u53f7\uff1a\u96c6\u667a\u4ff1\u4e50\u90e8<\/span><\/strong><\/span><\/p>\n

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

          \u52a0\u5165\u201c\u6ca1\u6709\u56f4\u5899\u7684\u7814\u7a76\u6240\u201d<\/span><\/strong><\/span><\/p>\n

          \n
          \"\u96c6\u667a\"<\/div>\n<\/section>\n

          \u8ba9\u82f9\u679c\u7838\u5f97\u66f4\u731b\u70c8\u4e9b\u5427\uff01<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

          \n
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          <\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n
          \n

          \u59cb\u53d1\u4e8e\u5fae\u4fe1\u516c\u4f17\u53f7\uff1a \u96c6\u667a\u4ff1\u4e50\u90e8 <\/p>\n<\/blockquote>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

          \u5bfc\u8bed \u5982\u4f55\u5224\u65ad\u4e00\u6bb5\u8bdd\u4fe1\u606f\u91cf\u662f\u5927\u662f\u5c0f\uff1f\u5728\u9999\u519c\u90a3\u91cc\uff0c\u53ef\u4ee5\u7528\u201c\u514b\u670d\u4e86\u591a\u5c11\u4e0d\u786e\u5b9a\u6027\u201d\u6765\u63cf\u8ff0\u3002\u800c\u5728\u67ef\u5c14\u83ab\u54e5\u6d1b\u592b\u90a3\u91cc\uff0c\u8981\u770b\u201c\u7528\u591a\u957f\u7684\u4ee3\u7801\u80fd\u751f\u6210\u8fd9\u53e5\u8bdd\u201d\u3002 \u7f16\u8bd1\uff1a\u96c6\u667a\u4ff1\u4e50\u90e8\u7ffb\u8bd1\u7ec4 \u6765\u6e90\uff1aNautilus \u539f\u9898\uff1aKolmogorov Complexity and Our Search for Meaning \u5f53\u4f60\u9047…<\/p>\n","protected":false},"author":1,"featured_media":10488,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[19],"tags":[],"special":[],"_links":{"self":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/10487"}],"collection":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=10487"}],"version-history":[{"count":1,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/10487\/revisions"}],"predecessor-version":[{"id":10517,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/10487\/revisions\/10517"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/10488"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10487"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10487"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10487"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=10487"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}