{"id":111,"date":"2025-12-02T14:36:43","date_gmt":"2025-12-02T06:36:43","guid":{"rendered":"http:\/\/www.puter.cn\/?p=111"},"modified":"2025-12-02T14:36:43","modified_gmt":"2025-12-02T06:36:43","slug":"%e4%b8%83%e5%a4%a7%e7%a5%9e%e7%a7%98%e7%9a%84%e6%95%b0%e5%ad%a6%e5%b8%b8%e6%95%b0","status":"publish","type":"post","link":"http:\/\/www.puter.cn\/?p=111","title":{"rendered":"\u4e03\u5927\u795e\u79d8\u7684\u6570\u5b66\u5e38\u6570"},"content":{"rendered":"\n

\u6570\u5b66\u8001\u5e08\u4e00\u76f4\u8ba4\u4e3a\uff0c\u6570\u5b66\u4e2d\u7684\u5404\u79cd\u5e38\u6570\u662f\u6700\u4ee4\u4eba\u656c\u754f\u7684\u4e1c\u897f\u3002\u5b83\u4eec\u4f3c\u4e4e\u662f\u5b87\u5b99\u8bde\u751f\u4e4b\u521d\u4e0a\u5e1d\u5c31\u5df2\u7ecf\u7cbe\u5fc3\u9009\u62e9\u597d\u4e86\u7684\uff0c\u90a3\u4e00\u4e32\u65e0\u9650\u4e0d\u5faa\u73af\u7684\u6570\u5b57\u5f80\u5f80\u4f1a\u8ba9\u4eba\u9677\u5165\u4e00\u79cd\u65e0\u5e95\u6d1e\u822c\u7684\u6c89\u601d\u2014\u2014\u4e3a\u4ec0\u4e48\u8fd9\u4e32\u6570\u5b57\u5c31\u4e0d\u662f\u522b\u7684\uff0c\u504f\u504f\u5c31\u662f\u8fd9\u4e2a\u6837\u5462\u3002\u9664\u4e86\u90a3\u4e9b\u4f17\u6240\u5468\u77e5\u7684\u57fa\u672c\u5e38\u6570\u4e4b\u5916\uff0c\u8fd8\u6709\u5f88\u591a\u975e\u4e3b\u6d41\u7684\u6570\u5b66\u5e38\u6570\uff0c\u5b83\u4eec\u7684\u5b58\u5728\u6027\u548c\u65e0\u7406\u6027\u540c\u6837\u7ed9\u5b83\u4eec\u8d4b\u4e88\u4e86\u6d53\u91cd\u7684\u795e\u79d8\u8272\u5f69\u3002\u4eca\u5929\uff0c\u6570\u5b66\u52a0\u5c0f\u7f16\u5c31\u6765\u76d8\u70b9\u4e00\u4e0b\u6570\u5b66\u754c\u4e2d\u4e03\u5927\u795e\u79d8\u7684\u6570\u5b66\u5e38\u6570\u3002<\/p>\n\n\n\n

NO.1 \u221a2\u2248 1.4142135623730950488<\/strong><\/p>\n\n\n\n

\u53e4\u5e0c\u814a\u7684\u5927\u54f2\u5b66\u5bb6\u6bd5\u8fbe\u54e5\u62c9\u65af\u5f88\u65e9\u5c31\u6ce8\u610f\u5230\u4e86\u6570\u5b66\u4e0e\u5927\u5343\u4e16\u754c\u7684\u8054\u7cfb\uff0c\u5bf9\u6570\u5b66\u79d1\u5b66\u7684\u53d1\u5c55\u6709\u7740\u529f\u4e0d\u53ef\u6ca1\u7684\u8d21\u732e\u3002\u4ed6\u8fd8\u521b\u7acb\u4e86\u5728\u53e4\u5e0c\u814a\u5f71\u54cd\u6700\u6df1\u8fdc\u7684\u5b66\u6d3e\u4e4b\u4e00\u2014\u2014 \u6bd5\u8fbe\u54e5\u62c9\u65af\u5b66\u6d3e<\/a>\u3002\u6bd5\u8fbe\u54e5\u62c9\u65af\u5b66\u6d3e\u5bf9\u6570\u5b57\u7684\u8ba4\u8bc6\u8fbe\u5230\u4e86\u5ba1\u7f8e\u7684\u9ad8\u5ea6\u3002\u4ed6\u4eec\u76f8\u4fe1\uff0c\u5728\u8fd9\u4e2a\u4e16\u754c\u4e2d\u201c\u4e07\u7269\u7686\u6570\u201d\uff0c\u6240\u6709\u4e8b\u7269\u90fd\u53ef\u4ee5\u7528\u6574\u6570\u6216\u8005\u6574\u6570\u4e4b\u6bd4\u6765\u63cf\u8ff0\u3002<\/p>\n\n\n\n

\u6211\u4eec\u4eca\u5929\u8bf4\u7b2c\u4e00\u4e2a\u795e\u79d8\u7684\u6570\u5b66\u5e38\u6570\uff0c\u540c\u65f6\u4e5f\u662f\u7b2c\u4e00\u4e2a\u65e0\u7406\u6570 \u221a2\u7684\u53d1\u73b0\u8005\u5c31\u662f\u4e00\u4f4d\u6bd5\u8fbe\u54e5\u62c9\u65af\u5b66\u6d3e\u7684\u5b66\u8005\uff0c\u4ed6\u53eb\u505a Hippasus<\/a> \u3002\u636e\u8bf4\uff0c\u4e00\u65e5 Hippasus \u5411\u6bd5\u8fbe\u54e5\u62c9\u65af\u63d0\u51fa\u4e86\u8fd9\u6837\u7684\u95ee\u9898\uff1a\u8fb9\u957f\u4e3a 1 \u7684\u6b63\u65b9\u5f62\uff0c\u5bf9\u89d2\u7ebf\u957f\u5ea6\u80fd\u7528\u6574\u6570\u4e4b\u6bd4\u6765\u8868\u793a\u5417\uff1f\u6bd5\u8fbe\u54e5\u62c9\u65af\u81ea\u5df1\u505a\u4e86\u4e00\u4e9b\u601d\u8003\uff0c\u8bc1\u660e\u4e86\u8fd9\u4e2a\u6570\u786e\u5b9e\u65e0\u6cd5\u7528\u6574\u6570\u4e4b\u6bd4\u6765\u8868\u793a\u3002\u7531\u4e8e\u8fd9\u4e00\u53d1\u73b0\u89e6\u72af\u4e86\u5b66\u6d3e\u7684\u4fe1\u6761\uff0c\u56e0\u6b64\u6bd5\u8fbe\u54e5\u62c9\u65af\u6740\u5bb3\u4e86 Hippasus \u3002<\/p>\n\n\n\n

\u5229\u7528\u52fe\u80a1\u5b9a\u7406\u53ef\u77e5\uff0c\u8fd9\u4e2a\u6570\u662f\u65b9\u7a0b x^2 = 2 \u7684\u552f\u4e00\u6b63\u6570\u89e3\uff0c\u6211\u4eec\u901a\u5e38\u5c31\u8bb0\u4f5c \u221a2\u3002\u221a2\u53ef\u80fd\u662f\u6700\u5177\u4ee3\u8868\u6027\u7684\u65e0\u7406\u6570\u4e86\uff0c\u6211\u4eec\u4e4b\u524d\u66fe\u7ecf\u4ecb\u7ecd\u8fc7\u5f88\u591a \u221a2\u7684\u65e0\u7406\u6027\u7684\u8bc1\u660e\u3002\u65e0\u7406\u6570\u7684\u51fa\u73b0\u63a8\u7ffb\u4e86\u53e4\u5e0c\u814a\u6570\u5b66\u4f53\u7cfb\u4e2d\u7684\u4e00\u4e2a\u6700\u57fa\u672c\u7684\u5047\u8bbe\uff0c\u76f4\u63a5\u5bfc\u81f4\u4e86\u7b2c\u4e00\u6b21\u6570\u5b66\u5371\u673a\uff0c\u6574\u5ea7\u6570\u5b66\u5927\u53a6\u9669\u4e9b\u8f70\u7136\u5012\u584c\u3002<\/p>\n\n\n\n

\u65e0\u7406\u6570\u867d\u8bf4\u65e0\u7406\uff0c\u5728\u751f\u4ea7\u751f\u6d3b\u4e2d\u7684\u7528\u9014\u5374\u662f\u76f8\u5f53\u5e7f\u6cdb\u3002\u4f8b\u5982\uff0c\u91cf\u4e00\u91cf\u4f60\u624b\u8fb9\u7684\u4e66\u672c\u6742\u5fd7\u7684\u957f\u4e0e\u5bbd\uff0c\u4f60\u4f1a\u53d1\u73b0\u5b83\u4eec\u7684\u6bd4\u503c\u5c31\u7ea6\u4e3a 1.414 \u3002\u8fd9\u662f\u56e0\u4e3a\u901a\u5e38\u5370\u5237\u7528\u7684\u7eb8\u5f20\u90fd\u6ee1\u8db3\u8fd9\u4e48\u4e00\u4e2a\u6027\u8d28\uff1a\u628a\u4e24\u6761\u5bbd\u8fb9\u5bf9\u6298\u5230\u4e00\u8d77\uff0c\u5f97\u5230\u4e00\u4e2a\u65b0\u7684\u957f\u65b9\u5f62\uff0c\u5219\u65b0\u957f\u65b9\u5f62\u7684\u957f\u5bbd\u4e4b\u6bd4\u548c\u539f\u6765\u4e00\u6837\u3002\u56e0\u6b64\uff0c\u5982\u679c\u539f\u6765\u7684\u957f\u5bbd\u6bd4\u4e3a x : 1 \uff0c\u65b0\u7684\u957f\u5bbd\u6bd4\u5c31\u662f 1 : x\/2 \u3002\u89e3\u65b9\u7a0b x : 1 = 1 : x\/2 \u5c31\u80fd\u5f97\u5230 x = \u221a2\u3002<\/p>\n\n\n\n

NO.2 \u5706\u5468\u7387<\/a> \u03c0 \u2248 3.141592653589793<\/strong><\/p>\n\n\n\n

\u4e0d\u7ba1\u5706\u6709\u591a\u5927\uff0c\u5b83\u7684\u5468\u957f\u4e0e\u76f4\u5f84\u7684\u6bd4\u503c\u603b\u662f\u4e00\u4e2a\u56fa\u5b9a\u7684\u6570\u3002\u6211\u4eec\u5c31\u628a\u8fd9\u4e2a\u6570\u53eb\u505a\u5706\u5468\u7387\uff0c\u7528\u5e0c\u814a\u5b57\u6bcd \u03c0 \u6765\u8868\u793a\u3002\u4eba\u4eec\u5f88\u65e9\u5c31\u8ba4\u8bc6\u5230\u4e86\u5706\u5468\u7387\u7684\u5b58\u5728\uff0c\u5bf9\u5706\u5468\u7387\u7684\u7814\u7a76\u751a\u81f3\u53ef\u4ee5\u8ffd\u6eaf\u5230\u516c\u5143\u4ee5\u524d\uff1b\u4ece\u90a3\u4ee5\u540e\uff0c\u4eba\u7c7b\u5bf9\u5706\u5468\u7387\u7684\u63a2\u7d22\u5c31\u4ece\u672a\u505c\u6b62\u8fc7\u3002\u51e0\u5343\u5e74\u8fc7\u53bb\u4e86\uff0c\u4eba\u7c7b\u5bf9\u5706\u5468\u7387\u7684\u4e86\u89e3\u8d8a\u6765\u8d8a\u591a\uff0c\u4f46\u5374\u4e00\u76f4\u88ab\u5706\u5468\u7387\u662f\u5426\u6709\u7406\u7684\u95ee\u9898\u6240\u56f0\u6270\u3002\u76f4\u5230 1761 \u5e74\uff0c\u5fb7\u56fd\u6570\u5b66\u5bb6 Lambert \u624d\u8bc1\u660e\u4e86 \u03c0 \u662f\u4e00\u4e2a\u65e0\u7406\u6570\u3002<\/p>\n\n\n\n

\u03c0 \u662f\u6570\u5b66\u4e2d\u6700\u57fa\u672c\u3001\u6700\u91cd\u8981\u3001\u6700\u795e\u5947\u7684\u5e38\u6570\u4e4b\u4e00\uff0c\u5b83\u5e38\u5e38\u51fa\u73b0\u5728\u4e00\u4e9b\u4e0e\u51e0\u4f55\u6beb\u65e0\u5173\u7cfb\u7684\u573a\u5408\u4e2d\u3002\u4f8b\u5982\uff0c\u4efb\u610f\u53d6\u51fa\u4e24\u4e2a\u6b63\u6574\u6570\uff0c\u5219\u5b83\u4eec\u4e92\u8d28\uff08\u6700\u5927\u516c\u7ea6\u6570\u4e3a 1 \uff09\u7684\u6982\u7387\u4e3a 6 \/ \u03c0^2 \u3002<\/p>\n\n\n\n

NO,3 \u81ea\u7136\u5e95\u6570<\/a> e \u2248 2.718281828459<\/strong><\/p>\n\n\n\n

\u5728 17 \u4e16\u7eaa\u672b\uff0c\u745e\u58eb\u6570\u5b66\u5bb6 Bernoulli \u6ce8\u610f\u5230\u4e86\u4e00\u4e2a\u6709\u8da3\u7684\u73b0\u8c61\uff1a\u5f53 x \u8d8a\u5927\u65f6\uff0c (1 + 1\/x)^x \u5c06\u4f1a\u8d8a\u63a5\u8fd1\u67d0\u4e2a\u56fa\u5b9a\u7684\u6570\u3002\u4f8b\u5982\uff0c (1 + 1\/100)^100 \u2248 2.70481 \uff0c (1 + 1\/1000)^1000 \u2248 2.71692 \uff0c\u800c (1 + 1\/10000)^10000 \u5219\u7ea6\u4e3a 2.71815 \u3002 18 \u4e16\u7eaa\u7684\u5927\u6570\u5b66\u5bb6 Euler \u4ed4\u7ec6\u7814\u7a76\u4e86\u8fd9\u4e2a\u95ee\u9898\uff0c\u5e76\u7b2c\u4e00\u6b21\u7528\u5b57\u6bcd e \u6765\u8868\u793a\u5f53 x \u65e0\u7a77\u5927\u65f6 (1 + 1\/x)^x \u7684\u503c\u3002\u4ed6\u4e0d\u4f46\u6c42\u51fa\u4e86 e \u2248 2.718\uff0c\u8fd8\u8bc1\u660e\u4e86 e \u662f\u4e00\u4e2a\u65e0\u7406\u6570\u3002<\/p>\n\n\n\n

e \u7684\u7528\u9014\u4e5f\u5341\u5206\u5e7f\u6cdb\uff0c\u5f88\u591a\u516c\u5f0f\u91cc\u90fd\u6709 e \u7684\u8eab\u5f71\u3002\u6bd4\u65b9\u8bf4\uff0c\u5982\u679c\u628a\u524d n \u4e2a\u6b63\u6574\u6570\u7684\u4e58\u79ef\u8bb0\u4f5c n! \uff0c\u5219\u6709 Stirling \u8fd1\u4f3c\u516c\u5f0f n! \u2248\u221a2\u03c0 n (n \/ e)^n \u3002\u5728\u5fae\u79ef\u5206\u4e2d\uff0c\u65e0\u7406\u6570 e \u66f4\u662f\u5927\u663e\u795e\u901a\uff0c\u8fd9\u4f7f\u5f97\u5b83\u4e5f\u6210\u4e3a\u4e86\u9ad8\u7b49\u6570\u5b66\u4e2d\u6700\u91cd\u8981\u7684\u65e0\u7406\u6570\u4e4b\u4e00\u3002<\/p>\n\n\n\n

NO.4 \u9ec4\u91d1\u5206\u5272<\/a> \u03c6 = (1 +\u221a5)\/2 \u2248 1.618<\/strong><\/p>\n\n\n\n

\u628a\u4e00\u6839\u7ebf\u6bb5\u5206\u4e3a\u4e24\u6bb5\uff0c\u5206\u5272\u70b9\u5728\u4ec0\u4e48\u4f4d\u7f6e\u65f6\u6700\u4e3a\u7f8e\u89c2\uff1f\u5206\u5728\u4e2d\u70b9\u5904\uff0c\u4f3c\u4e4e\u592a\u5bf9\u79f0\u4e86\u4e0d\u597d\u770b\uff1b\u5206\u5728\u4e09\u7b49\u5206\u70b9\u5904\uff0c\u4f3c\u4e4e\u53c8\u663e\u5f97\u6709\u4e9b\u504f\u4e86\u3002\u4eba\u4eec\u516c\u8ba4\uff0c\u6700\u5b8c\u7f8e\u7684\u5206\u5272\u70b9\u5e94\u8be5\u6ee1\u8db3\u8fd9\u6837\u4e00\u79cd\u6027\u8d28\uff1a\u8f83\u957f\u6bb5\u4e0e\u8f83\u77ed\u6bb5\u7684\u957f\u5ea6\u6bd4\uff0c\u6b63\u597d\u7b49\u4e8e\u6574\u6761\u7ebf\u6bb5\u4e0e\u8f83\u957f\u6bb5\u7684\u957f\u5ea6\u6bd4\u3002\u8fd9\u4e2a\u6bd4\u503c\u5c31\u53eb\u505a\u9ec4\u91d1\u5206\u5272\uff0c\u7528\u5e0c\u814a\u5b57\u6bcd \u03c6 \u6765\u8868\u793a\u3002\u82e5\u4ee4\u7ebf\u6bb5\u7684\u8f83\u77ed\u6bb5\u7684\u957f\u5ea6\u4e3a 1 \uff0c\u5219 \u03c6 \u5c31\u6ee1\u8db3\u65b9\u7a0b \u03c6 = (1 + \u03c6) \/ \u03c6 \uff0c\u53ef\u89e3\u51fa \u03c6 = (1 + \u221a5)\/2 \u3002<\/p>\n\n\n\n

\u5728\u7f8e\u5b66\u4e2d\uff0c\u9ec4\u91d1\u5206\u5272\u6709\u7740\u4e0d\u53ef\u4f30\u91cf\u7684\u610f\u4e49\u3002\u5728\u90a3\u4e9b\u6700\u4f1f\u5927\u7684\u7f8e\u672f\u4f5c\u54c1\u4e2d\uff0c\u6bcf\u4e00\u4e2a\u7ec6\u8282\u7684\u6784\u56fe\u90fd\u5145\u5206\u5c55\u793a\u4e86\u9ec4\u91d1\u5206\u5272\u4e4b\u7f8e\u3002\u5728\u4eba\u4f53\u4e2d\uff0c\u9ec4\u91d1\u5206\u5272\u4e5f\u65e0\u5904\u4e0d\u5728\u2014\u2014\u8098\u5173\u8282\u5c31\u662f\u6574\u53ea\u624b\u81c2\u7684\u9ec4\u91d1\u5206\u5272\u70b9\uff0c\u819d\u5173\u8282\u5c31\u662f\u6574\u6761\u817f\u7684\u9ec4\u91d1\u5206\u5272\u70b9\uff0c\u800c\u809a\u8110\u5219\u4f4d\u4e8e\u6574\u4e2a\u4eba\u7684\u9ec4\u91d1\u5206\u5272\u70b9\u5904\u3002<\/p>\n\n\n\n

\u5728\u6570\u5b66\u4e2d\uff0c\u9ec4\u91d1\u5206\u5272 \u03c6 \u4e5f\u5c55\u793a\u51fa\u4e86\u5b83\u7684\u65e0\u7a77\u9b45\u529b\u3002\u4f8b\u5982\uff0c\u5728\u6b63\u4e94\u89d2\u661f\u4e2d\uff0c\u540c\u4e00\u6761\u7ebf\u4e0a\u4e09\u4e2a\u70b9 A \u3001 B \u3001 C \u5c31\u6ee1\u8db3 AB : BC = \u03c6 \u3002\u518d\u6bd4\u5982\uff0c\u5728 Fibonacci \u6570\u5217 1, 1, 2, 3, 5, 8, 13, 21, \u2026 \u4e2d\uff0c\u76f8\u90bb\u4e24\u6570\u4e4b\u6bd4\u5c06\u4f1a\u8d8a\u6765\u8d8a\u63a5\u8fd1\u4e8e \u03c6 \u3002<\/p>\n\n\n\n

NO.5 Khinchin \u5e38\u6570 K \u2248 2.685452<\/strong><\/p>\n\n\n\n

\u6bcf\u4e00\u4e2a\u5b9e\u6570\u90fd\u80fd\u5199\u6210 a0 + 1\/(a1 + 1\/(a2 + \u2026)) \u7684\u5f62\u5f0f\uff0c\u5176\u4e2d a0, a1, a2, \u2026 \u90fd\u662f\u6574\u6570\u3002\u6211\u4eec\u5c31\u628a [a0; a1, a2, a3, \u2026] \u53eb\u505a\u8be5\u6570\u7684\u8fde\u5206\u6570\u5c55\u5f00\u3002\u548c\u5c0f\u6570\u5c55\u5f00\u6bd4\u8d77\u6765\uff0c\u8fde\u5206\u6570\u5c55\u5f00\u5177\u6709\u66f4\u52a0\u4f18\u96c5\u6f02\u4eae\u7684\u6027\u8d28\uff0c\u8fd9\u4f7f\u5f97\u8fde\u5206\u6570\u6210\u4e3a\u4e86\u6570\u5b66\u7814\u7a76\u4e2d\u7684\u5fc5\u4fee\u8bfe\u3002<\/p>\n\n\n\n

\u5728 1964 \u5e74\u51fa\u7248\u7684\u4e00\u672c\u8fde\u5206\u6570\u6570\u5b66\u8bfe\u672c\u4e2d\uff0c\u6570\u5b66\u5bb6 Khinchin \u8bc1\u660e\u4e86\u8fd9\u6837\u4e00\u4e2a\u60ca\u4eba\u7684\u7ed3\u8bba\uff1a\u9664\u4e86\u6709\u7406\u6570\u3001\u4e8c\u6b21\u6574\u7cfb\u6570\u65b9\u7a0b\u7684\u6839\u7b49\u90e8\u5206\u7279\u6b8a\u60c5\u51b5\u4ee5\u5916\uff0c\u51e0\u4e4e\u6240\u6709\u5b9e\u6570\u7684\u8fde\u5206\u6570\u5c55\u5f00\u5e8f\u5217\u7684\u51e0\u4f55\u5e73\u5747\u6570\u90fd\u6536\u655b\u5230\u4e00\u4e2a\u76f8\u540c\u7684\u6570\uff0c\u5b83\u7ea6\u4e3a 2.685452 \u3002\u4f8b\u5982\uff0c\u5706\u5468\u7387 \u03c0 \u7684\u8fde\u5206\u6570\u5c55\u5f00\u5e8f\u5217\u4e2d\uff0c\u524d 20 \u4e2a\u6570\u7684\u51e0\u4f55\u5e73\u5747\u6570\u7ea6\u4e3a 2.62819 \uff0c\u524d 100 \u4e2a\u6570\u7684\u51e0\u4f55\u5e73\u5747\u6570\u5219\u4e3a 2.69405 \uff0c\u800c\u524d 1 000 000 \u4e2a\u6570\u7684\u51e0\u4f55\u5e73\u5747\u6570\u5219\u4e3a 2.68447 \u3002<\/p>\n\n\n\n

\u76ee\u524d\uff0c\u4eba\u4eec\u5bf9\u8fd9\u4e2a\u795e\u79d8\u5e38\u6570\u7684\u4e86\u89e3\u5e76\u4e0d\u592a\u591a\u3002\u867d\u7136 Khinchin \u5e38\u6570\u5f88\u53ef\u80fd\u662f\u65e0\u7406\u6570\uff0c\u4f46\u8fd9\u4e00\u70b9\u81f3\u4eca\u4ecd\u672a\u88ab\u8bc1\u660e\u3002\u800c Khinchin \u7684\u7cbe\u786e\u503c\u4e5f\u5e76\u4e0d\u5bb9\u6613\u6c42\u51fa\u3002 1997 \u5e74\uff0c David Bailey \u7b49\u4eba\u5bf9\u4e00\u4e2a\u6536\u655b\u6781\u5feb\u7684\u6570\u5217\u8fdb\u884c\u4e86\u4f18\u5316\uff0c\u4f46\u4e5f\u53ea\u6c42\u51fa\u4e86 Khinchin \u5c0f\u6570\u70b9\u540e 7350 \u4f4d\u3002<\/p>\n\n\n\n

NO.6 Conway \u5e38\u6570<\/a> \u03bb \u2248 1.303577269<\/strong><\/p>\n\n\n\n

\u4f60\u80fd\u627e\u51fa\u4e0b\u9762\u8fd9\u4e2a\u6570\u5217\u7684\u89c4\u5f8b\u5417\uff1f<\/p>\n\n\n\n

1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211, \u2026<\/p>\n\n\n\n

\u8fd9\u4e2a\u6570\u5217\u7684\u89c4\u5f8b\u7b80\u5355\u800c\u53c8\u6709\u8da3\u3002\u6570\u5217\u4e2d\u7684\u7b2c\u4e00\u4e2a\u6570\u662f 1 \u3002\u4ece\u7b2c\u4e8c\u4e2a\u6570\u5f00\u59cb\uff0c\u6bcf\u4e2a\u6570\u90fd\u662f\u5bf9\u524d\u4e00\u4e2a\u6570\u7684\u63cf\u8ff0\uff1a\u7b2c\u4e8c\u4e2a\u6570 11 \u5c31\u8868\u793a\u5b83\u7684\u524d\u4e00\u4e2a\u6570\u662f\u201c 1 \u4e2a 1 \u201d\uff0c\u7b2c\u4e09\u4e2a\u6570 21 \u5c31\u8868\u793a\u5b83\u7684\u524d\u4e00\u4e2a\u6570\u662f\u201c 2 \u4e2a 1 \u201d\uff0c\u7b2c\u56db\u4e2a\u6570 1211 \u5c31\u8868\u793a\u5b83\u7684\u524d\u4e00\u4e2a\u6570\u662f\u201c 1 \u4e2a 2 \uff0c 1 \u4e2a 1 \u201d\u2026\u2026\u8fd9\u4e2a\u6709\u8da3\u7684\u6570\u5217\u5c31\u53eb\u505a\u201c\u5916\u89c2\u6570\u5217\u201d\u3002<\/p>\n\n\n\n

\u5916\u89c2\u6570\u5217\u6709\u5f88\u591a\u6709\u8da3\u7684\u6027\u8d28\u3002\u4f8b\u5982\uff0c\u6570\u5217\u4e2d\u7684\u6570\u867d\u7136\u4f1a\u8d8a\u6765\u8d8a\u957f\uff0c\u4f46\u6570\u5b57 4 \u6c38\u8fdc\u4e0d\u4f1a\u51fa\u73b0\u3002 1987 \u5e74\uff0c\u82f1\u56fd\u6570\u5b66\u5bb6 John Conway \u53d1\u73b0\uff0c\u5728\u8fd9\u4e2a\u6570\u5217\u4e2d\uff0c\u76f8\u90bb\u4e24\u6570\u7684\u957f\u5ea6\u4e4b\u6bd4\u8d8a\u6765\u8d8a\u63a5\u8fd1\u4e00\u4e2a\u56fa\u5b9a\u7684\u6570\u3002\u6700\u7ec8\uff0c\u6570\u5217\u7684\u957f\u5ea6\u589e\u957f\u7387\u5c06\u7a33\u5b9a\u5728\u67d0\u4e2a\u7ea6\u4e3a 1.303577 \u7684\u5e38\u6570\u4e0a\u3002 John Conway \u628a\u8fd9\u4e2a\u5e38\u6570\u547d\u540d\u4e3a Conway \u5e38\u6570\uff0c\u5e76\u7528\u5e0c\u814a\u5b57\u6bcd \u03bb \u8868\u793a\u3002 John Conway \u8bc1\u660e\u4e86 \u03bb \u662f\u4e00\u4e2a\u65e0\u7406\u6570\uff0c\u5b83\u662f\u67d0\u4e2a 71 \u6b21\u65b9\u7a0b\u7684\u552f\u4e00\u5b9e\u6570\u89e3\u3002<\/p>\n\n\n\n

NO.7 Champernowne \u5e38\u6570<\/a> C10 \u2248 0.1234567<\/strong><\/p>\n\n\n\n

\u628a\u5168\u4f53\u6b63\u6574\u6570\u4ece\u5c0f\u5230\u5927\u4f9d\u6b21\u5199\u6210\u4e00\u6392\uff0c\u5e76\u5728\u6700\u524d\u9762\u52a0\u4e0a\u4e00\u4e2a\u5c0f\u6570\u70b9\uff0c\u4fbf\u5f97\u5230\u4e86\u4e00\u4e2a\u65e0\u9650\u5c0f\u6570 0.1234567891011121314\u2026 \u3002\u8fd9\u4e2a\u6570\u662f\u7531\u82f1\u56fd\u7edf\u8ba1\u5b66\u5bb6 Champernowne \u4e8e 1933 \u5e74\u6784\u9020\u51fa\u6765\u7684\uff0c\u4ed6\u628a\u5b83\u547d\u540d\u4e3a Champernowne \u5e38\u6570\uff0c\u7528\u7b26\u53f7 C10 \u8868\u793a\u3002\u4e0e\u5176\u5b83\u7684\u6570\u5b66\u5e38\u6570\u76f8\u6bd4\uff0cChampernowne \u5e38\u6570\u6709\u4e00\u4e2a\u5f88\u5927\u7684\u533a\u522b\uff1a\u8fd9\u4e2a\u6570\u4ec5\u4ec5\u662f\u4e3a\u4e86\u8bba\u8bc1\u4e00\u4e9b\u6570\u5b66\u95ee\u9898\u800c\u4eba\u4e3a\u5b9a\u4e49\u51fa\u6765\u7684\uff0c\u5b83\u5e76\u672a\u63cf\u8ff0\u4efb\u4f55\u4e00\u4e2a\u6570\u5b66\u5bf9\u8c61\u3002<\/p>\n\n\n\n

Champernowne \u5e38\u6570\u6709\u5f88\u591a\u96be\u80fd\u53ef\u8d35\u7684\u6027\u8d28\u3002\u9996\u5148\uff0c\u5bb9\u6613\u770b\u51fa\u5b83\u662f\u4e00\u4e2a\u65e0\u9650\u4e0d\u5faa\u73af\u5c0f\u6570\uff0c\u56e0\u6b64\u5b83\u4e5f\u5c31\u662f\u4e00\u4e2a\u65e0\u7406\u6570\u3002\u5176\u6b21\uff0c\u5b83\u8fd8\u662f\u4e00\u4e2a\u201c\u8d85\u8d8a\u6570\u201d\uff0c\u610f\u5373\u5b83\u4e0d\u662f\u4efb\u4f55\u4e00\u4e2a\u6574\u7cfb\u6570\u591a\u9879\u5f0f\u65b9\u7a0b\u7684\u89e3\u3002\u5b83\u8fd8\u662f\u4e00\u4e2a\u201c\u6b63\u89c4\u6570\u201d\uff0c\u610f\u5373\u6bcf\u4e00\u79cd\u6570\u5b57\u6216\u8005\u6570\u5b57\u7ec4\u5408\u51fa\u73b0\u7684\u673a\u4f1a\u90fd\u662f\u5747\u7b49\u7684\u3002\u5728\u4f17\u591a\u6570\u5b66\u9886\u57df\u4e2d\uff0c Champernowne \u5e38\u6570\u90fd\u8868\u73b0\u51fa\u4e86\u5176\u975e\u51e1\u7684\u610f\u4e49\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

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