{"id":31887,"date":"2022-01-22T18:16:25","date_gmt":"2022-01-22T10:16:25","guid":{"rendered":"https:\/\/swarma.org\/?p=31887"},"modified":"2022-01-22T18:16:25","modified_gmt":"2022-01-22T10:16:25","slug":"%e8%b1%aa%e6%96%af%e5%a4%9a%e5%a4%ab%e7%bb%b4%e6%95%b0%ef%bc%9a%e6%80%8e%e6%a0%b7%e5%ba%a6%e9%87%8f%e5%88%86%e5%bd%a2-%e9%9b%86%e6%99%ba%e7%99%be%e7%a7%91","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=31887","title":{"rendered":"\u8c6a\u65af\u591a\u592b\u7ef4\u6570\uff1a\u600e\u6837\u5ea6\u91cf\u5206\u5f62 | \u96c6\u667a\u767e\u79d1"},"content":{"rendered":"<div class='wxsyncmain'>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\" data-mpa-powered-by=\"yiban.io\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"0.75\"  data-type=\"png\" data-w=\"700\" height=\"403\" width=\"700\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-ab71ecf3b8328abe53c282fc7dc91062.png\"><\/p>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><span style=\"outline: 0px;font-size: 15px;\">\u201c\u96c6\u667a\u767e\u79d1\u7cbe\u9009\u201d\u662f\u4e00\u4e2a\u957f\u671f\u4e13\u680f\uff0c\u6301\u7eed\u4e3a\u5927\u5bb6\u63a8\u9001\u590d\u6742\u6027\u79d1\u5b66\u76f8\u5173\u7684\u57fa\u672c\u6982\u5ff5\u548c\u8d44\u6e90\u4fe1\u606f\u3002\u4f5c\u4e3a\u96c6\u667a\u4ff1\u4e50\u90e8\u7684\u5f00\u6e90\u79d1\u5b66\u9879\u76ee\uff0c\u96c6\u667a\u767e\u79d1\u5e0c\u671b\u6253\u9020\u590d\u6742\u6027\u79d1\u5b66\u9886\u57df\u6700\u5168\u9762\u7684\u767e\u79d1\u5168\u4e66\uff0c\u6b22\u8fce\u5bf9\u590d\u6742\u6027\u79d1\u5b66\u611f\u5174\u8da3\u3001\u70ed\u7231\u77e5\u8bc6\u6574\u7406\u548c\u5206\u4eab\u7684\u670b\u53cb\u52a0\u5165\uff01<br style=\"outline: 0px;\"  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;text-indent: 0em;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><span style=\"outline: 0px;font-size: 15px;\">\u672c\u6587\u662f\u5bf9\u96c6\u667a\u767e\u79d1\u4e2d\u201c\u8c6a\u65af\u591a\u592b\u7ef4\u6570<\/span><span style=\"outline: 0px;text-indent: 0em;font-size: 15px;\">\u201d\u8bcd\u6761\u7684\u6458\u5f55\uff0c\u53c2\u8003\u8d44\u6599\u53ca\u76f8\u5173\u8bcd\u6761\u8bf7\u53c2\u9605\u767e\u79d1\u8bcd\u6761\u539f\u6587\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: 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0px;\">\n<section mpa-from-tpl=\"t\" style=\"outline: 0px;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"outline: 0px;\">\n<section mpa-from-tpl=\"t\" style=\"outline: 0px;\">\n<section mpa-from-tpl=\"t\" style=\"outline: 0px;\">\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;letter-spacing: 0.544px;line-height: 1.75em;\"><span style=\"outline: 0px;font-size: 15px;\"><em style=\"outline: 0px;color: rgb(178, 178, 178);letter-spacing: 0.544px;\">\u672c\u8bcd\u6761\u7531\u96c6\u667a\u4ff1\u4e50\u90e8\u4f17\u5305\u751f\u4ea7\uff0c\u96be\u514d\u5b58\u5728\u7eb0\u6f0f\u548c\u95ee\u9898\uff0c\u6b22\u8fce\u5927\u5bb6\u7559\u8a00\u53cd\u9988\u6216\u8005\u524d\u5f80\u5bf9\u5e94\u7684\u767e\u79d1\u8bcd\u6761\u9875\u9762\u8fdb\u884c\u4fee\u6539\uff0c\u4e00\u7ecf\u4fee\u6539\uff0c\u53ef\u4ee5\u83b7\u5f97\u5bf9\u5e94\u7684\u79ef\u5206\u5956\u52b1\u5662\uff01<\/em><\/span><\/p>\n<p style=\"outline: 0px;letter-spacing: 0.54px;text-align: left;\"><br style=\"outline: 0px;\"  \/><\/p>\n<section mpa-from-tpl=\"t\" style=\"margin-right: 8px;margin-left: 8px;outline: 0px;letter-spacing: 0.544px;line-height: 1.75em;\">\n<section mpa-from-tpl=\"t\" style=\"margin-right: 8px;margin-left: 8px;outline: 0px;line-height: 1.75em;\">\n<section data-mid=\"t4\" mpa-from-tpl=\"t\" style=\"margin-right: 8px;margin-left: 8px;outline: 0px;line-height: 1.75em;\">\n<section data-preserve-color=\"t\" data-mid=\"\" mpa-from-tpl=\"t\" style=\"margin-right: 8px;margin-left: 8px;outline: 0px;line-height: 1.75em;\">\n<section data-mid=\"\" mpa-from-tpl=\"t\" style=\"margin-right: 8px;margin-left: 8px;outline: 0px;line-height: 1.75em;\">\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;line-height: 1.75em;\">\n<section style=\"outline: 0px;\">\n<section data-id=\"85410\" data-tools=\"135\u7f16\u8f91\u5668\" style=\"outline: 0px;letter-spacing: 0.54px;\">\n<section style=\"margin: 10px auto;outline: 0px;\">\n<section style=\"margin-right: 3px;margin-left: 3px;padding: 20px;outline: 0px;box-shadow: rgb(227, 223, 223) 0px 0px 4px;background-color: rgb(254, 254, 254);\">\n<p style=\"outline: 0px;text-align: left;\"><strong style=\"outline: 0px;letter-spacing: 0.54px;color: rgb(61, 170, 214);font-size: 16px;\">\u76ee\u5f55<\/strong><\/p>\n<p style=\"outline: 0px;text-align: left;\"><br style=\"outline: 0px;\"  \/><\/p>\n<section data-style=\"color: inherit; box-sizing: border-box;line-height: 1.75em; text-align: justify;\" style=\"outline: 0px;border-color: rgb(131, 13, 0);color: inherit;\">\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-size: 14px;line-height: 1.75em;\"><strong style=\"outline: 0px;\"><span style=\"outline: 0px;font-size: 15px;\">\u4e00\u3001\u6982\u5ff5<\/span><\/strong><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-size: 14px;line-height: 1.75em;\"><strong style=\"outline: 0px;\"><span style=\"outline: 0px;font-size: 15px;\">\u4e8c\u3001\u5f62\u5f0f\u5316\u5b9a\u4e49<br style=\"outline: 0px;\"  \/><\/span><\/strong><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-size: 14px;line-height: 1.75em;\"><strong style=\"outline: 0px;\"><span style=\"outline: 0px;font-size: 15px;\">\u4e09\u3001\u5b9e\u4f8b<\/span><\/strong><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-size: 14px;line-height: 1.75em;\"><strong style=\"outline: 0px;\"><span style=\"outline: 0px;font-size: 15px;\">\u56db\u3001\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u7279\u6027<\/span><\/strong><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><strong>\u4e94\u3001\u81ea\u76f8\u4f3c\u96c6\u5408<br  \/><\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;line-height: 1.75em;\"><span style=\"outline: 0px;font-size: 15px;\"><strong style=\"outline: 0px;\">\u516d\u3001<strong style=\"outline: 0px;letter-spacing: 0.54px;\"><\/strong><strong style=\"outline: 0px;letter-spacing: 0.54px;\"><strong style=\"outline: 0px;letter-spacing: 0.54px;\">\u7f16\u8005\u63a8\u8350<\/strong><\/strong><\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;line-height: 1.75em;\"><span style=\"outline: 0px;font-size: 15px;\"><strong style=\"outline: 0px;\">\u4e03\u3001<strong style=\"outline: 0px;letter-spacing: 0.54px;\"><strong style=\"outline: 0px;letter-spacing: 0.54px;\">\u767e\u79d1\u9879\u76ee\u5fd7\u613f\u8005\u62db\u52df<\/strong><\/strong><\/strong><\/span><span style=\"outline: 0px;text-align: center;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;\"><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"text-align: center;margin-left: 8px;margin-right: 8px;\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-ratio=\"0.5645973154362416\" data-s=\"300,640\"  data-type=\"png\" data-w=\"1192\" style=\"\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-f5d16dd2a9e7c826bfa25daaee513e73.png\"><\/section>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u975e\u6574\u6570\u7ef4\u5ea6\u793a\u4f8b\uff1a\u524d\u56db\u4e2a<\/span><span style=\"font-size: 15px;\">Koch \u66f2\u7ebf<\/span><span style=\"font-size: 15px;\">\u7684\u8fed\u4ee3\uff0c\u5728\u6bcf\u6b21\u8fed\u4ee3\u540e\uff0c\u6240\u6709\u539f\u59cb\u7ebf\u6bb5\u90fd\u88ab\u66ff\u6362\u4e3a\u56db\u4e2a\uff0c\u6bcf\u4e2a\u81ea\u76f8\u4f3c\u7684\u590d\u5236\u662f\u539f\u59cb\u7ebf\u6bb5\u957f\u5ea6\u76841 \/ 3\u3002\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u7684\u4e00\u4e2a\u5efa\u6a21\u662f\u4f7f\u7528\u6bd4\u4f8b\u56e0\u5b50(3)\u548c\u81ea\u76f8\u4f3c\u5bf9\u8c61\u7684\u6570\u91cf(4)\u6765\u8ba1\u7b97\u7ef4\u5ea6 D\uff0c\u5728\u7b2c\u4e00\u6b21\u8fed\u4ee3\u540e\u4e3a D = (log N)\/(log S) = (log 4)\/(log 3) \u2248 1.26. \u4e5f\u5c31\u662f\u8bf4\uff0c\u5355\u70b9\u7684\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u4e3a\u96f6\uff0c\u7ebf\u6bb5\u4e3a1\uff0c\u6b63\u65b9\u5f62\u4e3a2\uff0c\u7acb\u65b9\u4f53\u4e3a3\u65f6\uff0c\u4f46\u5bf9\u4e8e\u5206\u5f62\uff0c\u5bf9\u8c61\u53ef\u4ee5\u6709\u4e00\u4e2a\u975e\u6574\u6570\u7ef4\u5ea6\u3002<\/span><br  \/><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><span style=\"font-size: 15px;\">\u5728\u6570\u5b66\u4e2d\uff0c\u8c6a\u65af\u591a\u592b\u7ef4\u6570 Hausdorff dimension\u662f\u4e00\u79cd\u7c97\u7cd9\u5ea6\u7684\u5ea6\u91cf\u5355\u4f4d\uff0c\u6216\u8005\u66f4\u786e\u5207\u5730\u8bf4\uff0c\u5206\u5f62\u7ef4\u6570\uff0c\u662f\u7531\u6570\u5b66\u5bb6 Felix Hausdorff \u57281918\u5e74\u9996\u6b21\u63d0\u51fa\u7684\u3002\u4f8b\u5982\uff0c\u5355\u70b9\u7684\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u4e3a\u96f6\uff0c\u7ebf\u6bb5\u4e3a1\uff0c\u6b63\u65b9\u5f62\u4e3a2\uff0c\u7acb\u65b9\u4f53\u4e3a3\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5bf9\u4e8e\u5b9a\u4e49\u4e86\u4e00\u4e2a\u5149\u6ed1\u5f62\u72b6\u6216\u4e00\u4e2a\u6709\u5c11\u6570\u51e0\u4e2a\u89d2\u7684\u5f62\u72b6&#8212;- \u4f20\u7edf\u51e0\u4f55\u5b66\u548c\u79d1\u5b66\u7684\u5f62\u72b6&#8212;- \u7684\u70b9\u96c6\u6765\u8bf4\uff0c\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u662f\u4e00\u4e2a\u6574\u6570\uff0c\u7b26\u5408\u901a\u5e38\u7684\u7ef4\u5ea6\u610f\u4e49\uff0c\u4e5f\u79f0\u4e3a\u62d3\u6251\u7ef4\u5ea6\u3002\u7136\u800c\uff0c\u8fd8\u6709\u4e00\u4e9b\u516c\u5f0f\u5141\u8bb8\u8ba1\u7b97\u5176\u4ed6\u4e0d\u592a\u7b80\u5355\u7684\u5bf9\u8c61\u7684\u7ef4\u6570\uff0c\u5176\u4e2d\u4ec5\u4ec5\u6839\u636e\u5b83\u4eec\u7684\u6807\u5ea6\u548c\u81ea\u76f8\u4f3c\u7279\u6027\uff0c\u5c31\u53ef\u4ee5\u5f97\u51fa\u7ed3\u8bba: \u7279\u5b9a\u7684\u5bf9\u8c61\u2014\u2014\u5305\u62ec\u5206\u5f62\u2014\u2014\u5177\u6709\u975e\u6574\u6570\u7684 Hausdorff \u7ef4\u6570\u3002\u7531\u4e8eAbram Samoilovitch Besicovitch\u7684\u91cd\u5927\u6280\u672f\u8fdb\u6b65\uff0c\u5141\u8bb8\u8ba1\u7b97\u9ad8\u5ea6\u4e0d\u89c4\u5219\u6216\u201c\u7c97\u7cd9\u201d\u96c6\u7684\u7ef4\u5ea6\uff0c\u8fd9\u4e2a\u7ef4\u5ea6\u901a\u5e38\u4e5f\u88ab\u79f0\u4e3aHausdorff-Besicovitch \u7ef4\u5ea6\u3002<\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u66f4\u5177\u4f53\u5730\u8bf4\uff0c\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u662f\u4e00\u4e2a\u4e0e\u7ed9\u5b9a\u96c6\u5408\u76f8\u5173\u8054\u7684\u66f4\u8fdb\u4e00\u6b65\u7684\u7ef4\u6570\uff0c\u5176\u4e2d\u5b9a\u4e49\u4e86\u8be5\u96c6\u5408\u6240\u6709\u6210\u5458\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002\u8fd9\u6837\u7684\u96c6\u5408\u79f0\u4e3a\u5ea6\u91cf\u7a7a\u95f4\u3002\u7ef4\u6570\u662f\u4ece\u6269\u5c55\u7684\u5b9e\u6570\uff0c\u800c\u4e0d\u662f\u66f4\u76f4\u89c2\u7684\u7ef4\u6570\u6982\u5ff5\uff08\u5b83\u4e0d\u4e0e\u4e00\u822c\u7684\u5ea6\u91cf\u7a7a\u95f4\u76f8\u5173\u8054\uff0c\u53ea\u53d6\u975e\u8d1f\u6574\u6570\u7684\u503c\uff09\u3002<\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><span style=\"font-size: 15px;\">\u7528\u6570\u5b66\u672f\u8bed\u6765\u8bf4\uff0c\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u6982\u62ec\u4e86\u5b9e\u5411\u91cf\u7a7a\u95f4\u7ef4\u6570\u7684\u6982\u5ff5\u3002\u4e5f\u5c31\u662f\u8bf4\uff0cn \u7ef4\u5185\u79ef\u7a7a\u95f4\u7684\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u7b49\u4e8e n\u3002\u8fd9\u5c31\u662f\u65e9\u671f\u5047\u8bbe\u7684\u57fa\u7840\uff0c\u4e00\u4e2a\u70b9\u7684\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u662f\u96f6\uff0c\u4e00\u6761\u7ebf\u662f\u4e00\u7b49\u7b49\uff0c\u4e0d\u89c4\u5219\u96c6\u53ef\u4ee5\u6709\u975e\u6574\u6570\u7684\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u3002\u4f8b\u5982\uff0c\u53f3\u8fb9\u6240\u793a\u7684 Koch \u96ea\u82b1\u662f\u7531\u4e00\u4e2a\u6b63\u4e09\u89d2\u5f62\u6784\u6210\u7684; \u5728\u6bcf\u6b21\u8fed\u4ee3\u4e2d\uff0c\u5b83\u7684\u7ec4\u6210\u7ebf\u6bb5\u88ab\u5206\u6210\u5355\u4f4d\u957f\u5ea6\u76843\u6bb5\uff0c\u65b0\u521b\u5efa\u7684\u4e2d\u95f4\u7ebf\u6bb5\u88ab\u7528\u4f5c\u4e00\u4e2a\u6307\u5411\u5916\u90e8\u7684\u65b0\u6b63\u4e09\u89d2\u5f62\u7684\u57fa\u7840\uff0c\u7136\u540e\u4eba\u4eec\u5220\u9664\u8fd9\u4e2a\u57fa\u7840\u7ebf\u6bb5\u7528\u6765\u4fdd\u7559\u5355\u4f4d\u957f\u5ea64\u7684\u8fed\u4ee3\u4e2d\u7684\u6700\u7ec8\u5bf9\u8c61\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5728\u7b2c\u4e00\u6b21\u8fed\u4ee3\u4e4b\u540e\uff0c\u6bcf\u4e2a\u539f\u59cb\u7ebf\u6bb5\u90fd\u88ab\u66ff\u6362\u4e3a N=4\uff0c\u5176\u4e2d\u6bcf\u4e2a\u81ea\u76f8\u4f3c\u62f7\u8d1d\u7684\u957f\u5ea6\u662f\u539f\u59cb\u7ebf\u6bb5\u76841\/S = 1\/3 \u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u6211\u4eec\u53d6\u4e00\u4e2a\u6b27\u51e0\u91cc\u5f97\u7ef4\u6570D\u7684\u7269\u4f53\uff0c\u5728\u6bcf\u4e2a\u65b9\u5411\u4e0a\u5c06\u5176\u7ebf\u6027\u6bd4\u4f8b\u51cf\u5c111\/3\uff0c\u4f7f\u5176\u957f\u5ea6\u589e\u52a0\u5230N=SD\u3002\u8fd9\u4e2a\u65b9\u7a0b\u5f88\u5bb9\u6613\u6c42\u89e3\u4e3a D\uff0c\u4ea7\u751f\u51fa\u73b0\u5728\u56fe\u5f62\u4e2d\u7684\u5bf9\u6570(\u6216\u81ea\u7136\u5bf9\u6570)\u7684\u6bd4\u7387\uff0c\u5e76\u7ed9\u51fa\u2014\u2014\u5728 Koch \u548c\u5176\u4ed6\u5206\u5f62\u60c5\u51b5\u4e0b\u2014\u2014\u8fd9\u4e9b\u5bf9\u8c61\u7684\u975e\u6574\u6570\u7ef4\u6570\u3002<\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><span style=\"font-size: 15px;\">\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u662f\u66f4\u7b80\u5355\u4f46\u901a\u5e38\u7b49\u4ef7\u7684\u8ba1\u76d2\u7ef4\u6570 box-counting\u6216\u95f5\u53ef\u592b\u65af\u57fa\u7ef4\u6570 Minkowski-Bouligand\u7684\u7ee7\u627f\u8005\u3002<\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/p>\n<section data-mpa-template=\"t\" mpa-from-tpl=\"t\">\n<section data-mpa-template=\"t\" mpa-from-tpl=\"t\">\n<section mpa-from-tpl=\"t\">\n<section mpa-from-tpl=\"t\" style=\"white-space: normal;max-width: 100%;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;text-align: center;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<p style=\"max-width: 100%;min-height: 1em;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><br  \/><\/p>\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;max-width: 100%;letter-spacing: 0.544px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;display: inline-block;vertical-align: middle;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"margin-bottom: -2px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;clear: both;line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;line-height: 0;width: 0px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\" mpa-from-tpl=\"t\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;max-width: 100%;border-left: 3px solid rgb(33, 166, 210);border-right: 3px solid rgb(33, 166, 210);border-top-color: rgb(33, 166, 210);border-bottom-color: rgb(33, 166, 210);font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<p style=\"max-width: 100%;min-height: 1em;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><strong style=\"max-width: 100%;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong style=\"max-width: 100%;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><span style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><strong style=\"max-width: 100%;color: rgb(0, 0, 0);letter-spacing: 0.544px;text-align: center;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong style=\"max-width: 100%;text-align: left;color: rgb(33, 166, 210);letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><span style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-is-content=\"t\">\u6982\u5ff5<\/span><\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong mpa-from-tpl=\"t\" mpa-is-content=\"t\" style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;font-size: 16px;border-color: rgb(123, 12, 0);\"><\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<h2 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/h2>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u51e0\u4f55\u5bf9\u8c61X\u7684\u5c3a\u5bf8\u7684\u76f4\u89c2\u6982\u5ff5\u662f\u6307\u9700\u8981\u591a\u5c11\u4e2a\u72ec\u7acb\u53c2\u6570\u624d\u80fd\u627e\u5230\u4e00\u4e2a\u72ec\u7279\u7684\u70b9\u3002\u4f46\u662f\uff0c\u4efb\u4f55\u7531\u4e24\u4e2a\u53c2\u6570\u6307\u5b9a\u7684\u70b9\u90fd\u53ef\u4ee5\u7531\u4e00\u4e2a\u53c2\u6570\u6307\u5b9a\uff0c\u56e0\u4e3a\u5b9e\u5e73\u9762\u7684\u57fa\u6570\u7b49\u4e8e\u5b9e\u7ebf\u7684\u57fa\u6570\uff08\u8fd9\u53ef\u4ee5\u901a\u8fc7\u4ea4\u7ec7\u4e24\u4e2a\u6570\u5b57\u4ee5\u4ea7\u751f\u4e00\u4e2a\u7f16\u7801\u76f8\u540c\u4fe1\u606f\u7684\u5355\u4e2a\u6570\u5b57\u770b\u5230\uff09\u3002\u7a7a\u95f4\u586b\u5145\u66f2\u7ebf space-filling curve\u7684\u4f8b\u5b50\u8868\u660e\uff0c\u53ef\u4ee5\u5c06\u5b9e\u7ebf\u5b8c\u7f8e\u548c\u8fde\u7eed\u5730\u6620\u5c04\u5230\u5b9e\u5e73\u9762\uff08\u628a\u4e00\u4e2a\u5b9e\u6570\u8f6c\u6362\u6210\u4e00\u5bf9\u5b9e\u6570\uff0c\u4ece\u800c\u8986\u76d6\u6240\u6709\u5b9e\u6570\u5bf9\uff09\uff0c\u7531\u6b64\u4e00\u7ef4\u5bf9\u8c61\u5b8c\u5168\u586b\u5145\u4e86\u4e00\u4e2a\u9ad8\u7ef4\u5bf9\u8c61\u3002<\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><span style=\"font-size: 15px;\">\u6bcf\u6761\u7a7a\u95f4\u586b\u5145\u66f2\u7ebf\u90fd\u4f1a\u591a\u6b21\u51fb\u4e2d\u67d0\u4e9b\u70b9\uff0c\u4e14\u4e0d\u5b58\u5728\u8fde\u7eed\u7684\u9006\u3002\u5c06\u4e8c\u7ef4\u4ee5\u8fde\u7eed\u548c\u8fde\u7eed\u53ef\u9006\u7684\u65b9\u5f0f\u6620\u5c04\u5230\u4e00\u7ef4\u662f\u4e0d\u53ef\u80fd\u7684\u3002\u62d3\u6251\u7ef4\u5ea6 topological dimension\uff0c\u4e5f\u88ab\u79f0\u4e3a\u201cLebesgue\u8986\u76d6\u7ef4\u6570\u201d\uff0c\u89e3\u91ca\u4e86\u4e3a\u4ec0\u4e48\u3002\u5982\u679c\u5728X\u7684\u6bcf\u4e2a\u5c0f\u5f00\u7403\u8986\u76d6\u4e2d\uff0c\u81f3\u5c11\u6709\u4e00\u4e2a\u70b9 n + 1\u4e2a\u7403\u91cd\u53e0\uff0c\u8fd9\u4e2a\u7ef4\u5ea6\u662f n\u3002\u4f8b\u5982\uff0c\u5f53\u7528\u77ed\u7684\u5f00\u533a\u95f4\u8986\u76d6\u4e00\u6761\u7ebf\u65f6\uff0c\u67d0\u4e9b\u70b9\u5fc5\u987b\u88ab\u8986\u76d6\u4e24\u6b21\uff0c\u7ed9\u51fa\u7ef4\u6570n = 1\u3002<\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><span style=\"font-size: 15px;\">\u4f46\u662f\uff0c\u62d3\u6251\u7ef4\u5ea6\u662f\u5bf9\u7a7a\u95f4\u5c40\u90e8\u5c3a\u5bf8\uff08\u70b9\u9644\u8fd1\u7684\u5c3a\u5bf8\uff09\u7684\u4e00\u4e2a\u975e\u5e38\u7c97\u7565\u7684\u5ea6\u91cf\u3002\u4e00\u6761\u51e0\u4e4e\u662f\u7a7a\u95f4\u586b\u5145\u7684\u66f2\u7ebf\u4ecd\u7136\u53ef\u4ee5\u6709\u4e00\u7ef4\u62d3\u6251\uff0c\u5373\u4f7f\u5b83\u586b\u5145\u4e86\u4e00\u4e2a\u533a\u57df\u7684\u5927\u90e8\u5206\u9762\u79ef\u3002<\/span><span style=\"font-size: 15px;\">\u5206\u5f62<\/span><span style=\"font-size: 15px;\">\u5177\u6709\u6574\u6570\u7684\u62d3\u6251\u7ef4\u6570\uff0c\u4f46\u5c31\u5176\u6240\u5360\u7684\u7a7a\u95f4\u91cf\u800c\u8a00\uff0c\u5b83\u770b\u8d77\u6765\u50cf\u4e00\u4e2a\u66f4\u9ad8\u7ef4\u7684\u7a7a\u95f4\u3002<\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><span style=\"font-size: 15px;\">\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u6d4b\u91cf\u4e00\u4e2a\u7a7a\u95f4\u7684\u5c40\u90e8\u5927\u5c0f\u65f6\uff0c\u4f1a\u8003\u8651\u5230\u70b9\u4e4b\u95f4\u8ddd\u79bb\uff08\u5ea6\u91cf\uff09\u3002\u8003\u8651\u534a\u5f84\u6700\u5927\u4e3ar\u7684\u7403\u6570 N (r) \uff0c\u9700\u8981\u5b8c\u5168\u8986\u76d6 X\u3002\u5f53r\u5f88\u5c0f\u65f6\uff0cN(r)\u4ee51\/r \u7684\u591a\u9879\u5f0f\u589e\u957f\u3002\u5bf9\u4e8e\u4e00\u4e2a\u8868\u73b0\u8db3\u591f\u597d\u7684 X\uff0c\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u662f\u552f\u4e00\u7684\u6570d\uff0c\u8fd9\u6837\u5f53r\u8d8b\u8fd1\u4e8e\u96f6\u65f6\uff0c N(r) \u589e\u957f\u4e3a1\/rd \u3002\u66f4\u786e\u5207\u5730\u8bf4\uff0c\u8fd9\u5b9a\u4e49\u4e86\u76d2\u5b50\u8ba1\u6570\u7ef4\u5ea6\uff0c\u5f53\u503cd\u662f\u4e0d\u8db3\u4ee5\u8986\u76d6\u7a7a\u95f4\u7684\u589e\u957f\u7387\u548c\u8fc7\u5ea6\u5145\u88d5\u7684\u589e\u957f\u7387\u4e4b\u95f4\u7684\u4e34\u754c\u8fb9\u754c\u65f6\uff0c\u5b83\u7b49\u4e8e\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u3002<\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><span style=\"font-size: 15px;\">\u5bf9\u4e8e\u5149\u6ed1\u7684\u5f62\u72b6\uff0c\u6216\u8005\u6709\u5c11\u91cf\u68f1\u89d2\u7684\u5f62\u72b6\uff0c\u4f20\u7edf\u51e0\u4f55\u548c\u79d1\u5b66\u7684\u5f62\u72b6\uff0c\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u662f\u4e00\u4e2a\u6574\u6570\uff0c\u4e0e\u62d3\u6251\u7ef4\u5ea6\u4e00\u81f4\u3002\u4f46\u662f<\/span><span style=\"font-size: 15px;\">\u4f2f\u52aa\u74e6\u00b7\u66fc\u5fb7\u5e03\u6d1b\u7279 Benoit Mandelbrot<\/span><span style=\"font-size: 15px;\">\u89c2\u5bdf\u5230<\/span><span style=\"font-size: 15px;\">\u5206\u5f62<\/span><span style=\"font-size: 15px;\">\u2014\u2014\u5177\u6709\u975e\u6574\u6570\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u7684\u96c6\u5408&#8212;- \u5728\u81ea\u7136\u754c\u4e2d\u968f\u5904\u53ef\u89c1\u3002\u4ed6\u89c2\u5bdf\u5230\uff0c\u6211\u4eec\u5468\u56f4\u5927\u591a\u6570\u7c97\u7cd9\u5f62\u72b6\u7684\u7406\u60f3\u5316\u4e0d\u662f\u5149\u6ed1\u7684\u7406\u60f3\u5316\u5f62\u72b6\uff0c\u800c\u662f\u5206\u5f62\u7406\u60f3\u5316\u5f62\u72b6:<\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/p>\n<blockquote>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u4e91\u4e0d\u662f\u7403\u4f53\uff0c\u5c71\u4e0d\u662f\u9525\u4f53\uff0c\u6d77\u5cb8\u7ebf\u4e0d\u662f\u5706\u5708\uff0c\u6811\u76ae\u4e0d\u5e73\u6ed1\uff0c\u95ea\u7535\u4e5f\u4e0d\u662f\u76f4\u7ebf\u8fd0\u52a8\u3002<\/span><\/p>\n<\/blockquote>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><span style=\"font-size: 15px;\">\u5bf9\u4e8e\u81ea\u7136\u754c\u4e2d\u51fa\u73b0\u7684\u5206\u5f62\uff0c\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u548c\u76d2\u8ba1\u6570\u7ef4\u6570\u662f\u4e00\u81f4\u7684\u3002\u5c01\u88c5\u5c3a\u5bf8\u662f\u53e6\u4e00\u4e2a\u7c7b\u4f3c\u7684\u6982\u5ff5\uff0c\u5b83\u4e3a\u8bb8\u591a\u5f62\u72b6\u63d0\u4f9b\u76f8\u540c\u7684\u503c\uff0c\u4f46\u662f\u5728\u6240\u6709\u8fd9\u4e9b\u5c3a\u5bf8\u4e0d\u540c\u7684\u60c5\u51b5\uff0c\u90fd\u505a\u4e86\u5f88\u597d\u7684\u8bf4\u660e\u3002<\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/p>\n<section data-mpa-template=\"t\" mpa-from-tpl=\"t\">\n<section data-mpa-template=\"t\" mpa-from-tpl=\"t\">\n<section mpa-from-tpl=\"t\">\n<section mpa-from-tpl=\"t\" style=\"white-space: normal;max-width: 100%;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;text-align: center;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<p style=\"max-width: 100%;min-height: 1em;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><br  \/><\/p>\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;max-width: 100%;letter-spacing: 0.544px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;display: inline-block;vertical-align: middle;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"margin-bottom: -2px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;clear: both;line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;line-height: 0;width: 0px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\" mpa-from-tpl=\"t\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;max-width: 100%;border-left: 3px solid rgb(33, 166, 210);border-right: 3px solid rgb(33, 166, 210);border-top-color: rgb(33, 166, 210);border-bottom-color: rgb(33, 166, 210);font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<p style=\"max-width: 100%;min-height: 1em;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><strong style=\"max-width: 100%;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong style=\"max-width: 100%;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><span style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><strong style=\"max-width: 100%;color: rgb(0, 0, 0);letter-spacing: 0.544px;text-align: center;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong style=\"max-width: 100%;text-align: left;color: rgb(33, 166, 210);letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><span style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-is-content=\"t\">\u5f62\u5f0f\u5316\u5b9a\u4e49<\/span><\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong mpa-from-tpl=\"t\" mpa-is-content=\"t\" style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;font-size: 16px;border-color: rgb(123, 12, 0);\"><\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<h2 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/h2>\n<h3 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;\">\u8c6a\u65af\u591a\u592b\u96c6<\/span><\/strong><\/h3>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u8bbe X\u662f\u5ea6\u91cf\u7a7a\u95f4\u3002\u82e5S \u2282 X \u548c d \u2208 [0, \u221e) \uff0c\u5219 S \u7684d\u7ef4\u65e0\u9650 \u8c6a\u65af\u591a\u592b\u96c6\u5b9a\u4e49\u4e3a<\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-ratio=\"0.0988095238095238\" data-s=\"300,640\"  data-type=\"png\" data-w=\"840\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-1a5fe9e5d6729fd5e416039ab6610a87.png\"  \/><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u6362\u53e5\u8bdd\u8bf4\uff0cC<sub>H<\/sub><sup>d<\/sup>(S)\u662f\u6570\u5b57\u96c6\u5408\u03b4&gt;=0\u7684\u4e0b\u786e\u754c\uff0c\u4f7f\u5f97\u5728&nbsp;i&nbsp;\u2208&amp;nbsp\u4e2d\u5b58\u5728\u4e00\u4e9b\u7403\u96c6\u5408{B(x<sub>i<\/sub>\uff0cr<sub>i<\/sub>)\uff1ai\u2208I} i \u5305\u542b s\uff0c\u5bf9\u4e8e\u6bcf\u4e2a ri &gt;&nbsp;0 \u6ee1\u8db3 i \u4e2d\u7684\u548c<\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-ratio=\"0.5725190839694656\" data-s=\"300,640\"  data-type=\"png\" data-w=\"131\" style=\"\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-0b9762d4412ffccfd90487a50c1b3e2e.png\"  \/><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">(\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u4f7f\u7528inf \u00d8&nbsp;=&nbsp;\u221e \u7684\u6807\u51c6\u7ea6\u5b9a)\u3002<\/span><\/p>\n<h3 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/h3>\n<h3 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;\">\u8c6a\u65af\u591a\u592b\u5206\u5f62\u6d4b\u91cf<\/span><\/strong><\/h3>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u8c6a\u65af\u591a\u592b\u5916\u6d4b\u5ea6\u4e0d\u540c\u4e8e\u65e0\u754c\u7684\u8c6a\u65af\u591a\u592b\uff0c\u56e0\u4e3a\u6211\u4eec\u4e0d\u8003\u8651 s \u7684\u6240\u6709\u53ef\u80fd\uff0c\u6211\u4eec\u770b\u5230\u5f53\u7403\u7684\u5927\u5c0f\u53d8\u4e3a\u96f6\u65f6\u4f1a\u53d1\u751f\u4ec0\u4e48\u3002\u5bf9\u4e8ed&gt;=0\uff0c\u6211\u4eec\u5b9a\u4e49\u4e86 S\u7684 d\u7ef4\u8c6a\u65af\u591a\u592bHausdorff \u5916\u6d4b\u5ea6\u4e3a<\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-ratio=\"0.09020902090209021\" data-s=\"300,640\"  data-type=\"png\" data-w=\"909\" style=\"\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-cdc128ae6c493c2d3fb7d72b168fbb8a.png\"  \/><\/p>\n<h3 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/h3>\n<h3 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><strong>\u8c6a\u65af\u591a\u592b\u7ef4\u6570&nbsp;<\/strong><\/span><\/h3>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">X\u7684\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u5b9a\u4e49\u4e3a<\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-ratio=\"0.11038961038961038\" data-s=\"300,640\"  data-type=\"png\" data-w=\"462\" style=\"\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-0e98cfd00c9f2e9bc063aac63c97c328.png\"  \/><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u7b49\u4ef7\u5730\uff0cdim&nbsp;<sub>H<\/sub>(X)\u53ef\u5b9a\u4e49\u4e3a&nbsp;d&nbsp;\u2208 [0, \u221e) \u96c6\u7684\u4e0b\u786e\u754c\uff0c\u4f7f\u5f97X&nbsp;\u7684d-\u7ef4&nbsp;<\/span><span style=\"font-size: 15px;\">\u8c6a\u65af\u591a\u592b\u6d4b\u5ea6<\/span><span style=\"font-size: 15px;\">&nbsp;\u4e3a\u96f6\u3002\u8fd9\u4e0e d \u2208&nbsp;[0, \u221e)\u7684\u96c6\u5408\u7684\u4e0a\u786e\u754c\u76f8\u540c\uff0c\u56e0\u6b64X\u7684 d \u7ef4\u8c6a\u65af\u591a\u592b\u6d4b\u5ea6\u662f\u65e0\u9650\u7684\uff08\u9664\u975e\u540e\u4e00\u4e2a\u96c6\u5408 d \u662f\u7a7a\u7684\uff0c\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u4e3a\u96f6\uff09\u3002<\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/p>\n<section data-mpa-template=\"t\" mpa-from-tpl=\"t\">\n<section data-mpa-template=\"t\" mpa-from-tpl=\"t\">\n<section mpa-from-tpl=\"t\">\n<section mpa-from-tpl=\"t\" style=\"white-space: normal;max-width: 100%;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;text-align: center;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<p style=\"max-width: 100%;min-height: 1em;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><br  \/><\/p>\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;max-width: 100%;letter-spacing: 0.544px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;display: inline-block;vertical-align: middle;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"margin-bottom: -2px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;clear: both;line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;line-height: 0;width: 0px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\" mpa-from-tpl=\"t\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;max-width: 100%;border-left: 3px solid rgb(33, 166, 210);border-right: 3px solid rgb(33, 166, 210);border-top-color: rgb(33, 166, 210);border-bottom-color: rgb(33, 166, 210);font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<p style=\"max-width: 100%;min-height: 1em;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><strong style=\"max-width: 100%;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong style=\"max-width: 100%;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><span style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><strong style=\"max-width: 100%;color: rgb(0, 0, 0);letter-spacing: 0.544px;text-align: center;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong style=\"max-width: 100%;text-align: left;color: rgb(33, 166, 210);letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><span style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-is-content=\"t\">\u5b9e\u4f8b<\/span><\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong mpa-from-tpl=\"t\" mpa-is-content=\"t\" style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;font-size: 16px;border-color: rgb(123, 12, 0);\"><\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<h2 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/h2>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"0.752\"  data-type=\"png\" data-w=\"250\" height=\"188\" style=\"border-width: 1px;border-style: solid;border-color: rgb(200, 204, 209);vertical-align: middle;background-color: rgb(255, 255, 255);margin: 0px;\" width=\"250\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-796c9ccf61bf6a3e5221db45db492284.png\"  \/><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><span style=\"font-size: 13px;color: rgb(136, 136, 136);\">\u8fdb\u4e00\u6b65\u7684<\/span><span style=\"font-size: 13px;color: rgb(136, 136, 136);\">\u5206\u5f62\u7ef4\u6570<\/span><span style=\"font-size: 13px;color: rgb(136, 136, 136);\">\u7684\u4f8b\u5b50\uff0c\u8fdb\u4e00\u6b65\u7684\u5206\u5f62\u7ef4\u6570\u7684\u4f8b\u5b50\u662f\u8c22\u5c14\u5bbe\u65af\u57fa\u4e09\u89d2\u5f62\uff0c\u5b83\u662f\u4e00\u4e2a\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u4e3alog(3)\/log(2)\u22481.58.\u7684\u7269\u4f53<\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><span style=\"font-size: 13px;color: rgb(136, 136, 136);\"><br  \/><\/span><\/p>\n<ul class=\"list-paddingleft-2\" style=\"margin-left: 8px;margin-right: 8px;\">\n<li style=\"font-size: 15px;\">\n<p style=\"line-height: 2em;\"><span style=\"font-size: 15px;\">\u53ef\u6570\u96c6\u62e5\u6709\u8c6a\u65af\u591a\u592b\u7ef4\u65700\u3002<\/span><\/p>\n<\/li>\n<li style=\"font-size: 15px;\">\n<p style=\"line-height: 2em;\"><span style=\"font-size: 15px;\">\u6b27\u51e0\u91cc\u5f97\u7a7a\u95f4 \u211dn&nbsp;\u6709\u8c6a\u65af\u591a\u592b\u7ef4\u6570&nbsp;n\uff0c\u5faa\u73afS1&nbsp;\u62e5\u6709\u8c6a\u65af\u591a\u592b\u7ef4\u65701.<\/span><\/p>\n<\/li>\n<li>\n<p style=\"line-height: 2em;\"><span style=\"font-size: 15px;\">\u5206\u5f62<\/span><span style=\"font-size: 15px;\">\u4e00\u822c\u662f\u90a3\u4e9b\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u76f4\u63a5\u8d85\u8fc7\u5176\u62d3\u6251\u7ef4\u6570\u7684\u7a7a\u95f4\u3002\u4f8b\u5982<\/span><span style=\"font-size: 15px;\">\u5eb7\u6258\u5c14\u96c6<\/span><span style=\"font-size: 15px;\">\u662f\u4e00\u4e2ao\u7ef4\u62d3\u6251\u7a7a\u95f4\uff0c\u7531\u4e24\u4e2a\u81ea\u5df1\u590d\u5236\u800c\u6210\uff0c\u6bcf\u4e00\u4e2a\u590d\u5236\u54c1\u90fd\u662f\u539f\u6765\u7684\u4e09\u5206\u4e4b\u4e00\uff0c\u56e0\u6b64\u5b83\u7684\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u662f ln(2)\/ln(3)&nbsp;\u2248&nbsp;0.63\u3002\u4e00\u4e2a<\/span><span style=\"font-size: 15px;\">\u8c22\u5c14\u5bbe\u65af\u57fa\u4e09\u89d2 Recurrence relation<\/span><span style=\"font-size: 15px;\">\u662f\u4ed6\u81ea\u8eab\u4e09\u4e2a\u590d\u5236\u7684\u7ec4\u5408\u3002\u6bcf\u4e00\u4e2a\u662f\u539f\u6765\u7684 1\/2\uff0c\u5b83\u7684\u8c6a\u65af\u591a\u592b\u7ef4\u6570ln(3)\/ln(2)&nbsp;\u2248 1.58\u3002\u5728\u9012\u5f52\u7b97\u6cd5\u4e2d\u89e3\u51b3\u9012\u5f52\u5173\u7cfb\u65f6\uff0c\u8fd9\u4e9b\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u4e0e<\/span><span style=\"font-size: 15px;\">\u7b97\u6cd5\u5206\u6790<\/span><span style=\"font-size: 15px;\">\u4e3b\u5b9a\u7406\u7684\u4e34\u754c\u6307\u6807\u76f8\u8054\u7cfb\u3002<\/span><\/p>\n<\/li>\n<li>\n<p style=\"line-height: 2em;\"><span style=\"font-size: 15px;\">\u7a7a\u95f4\u586b\u5145\u66f2\u7ebf<\/span><span style=\"font-size: 15px;\">\u62e5\u6709\u548c\u4ed6\u4eec\u586b\u5145\u7a7a\u95f4\u540c\u6837\u7684\u8c6a\u65af\u591a\u592b\u7ef4\u6570\uff0c\u5982<\/span><span style=\"font-size: 15px;\">\u76ae\u4e9a\u8bfa\u66f2\u7ebf Peano curve<\/span><span style=\"font-size: 15px;\">\u3002<\/span><\/p>\n<\/li>\n<li>\n<p style=\"line-height: 2em;\"><span style=\"font-size: 15px;\">\u5e03\u6717\u8fd0\u52a8<\/span><span style=\"font-size: 15px;\">\u57282\u7ef4\u53ca\u4ee5\u4e0a\u7684\u8f68\u8ff9\u88ab\u63a8\u6d4b\u4e3a\u8c6a\u65af\u591a\u592b2\u7ef4\u3002<\/span><\/p>\n<p style=\"line-height: 2em;\"><br  \/><\/p>\n<\/li>\n<\/ul>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"0.576\"  data-type=\"png\" data-w=\"250\" height=\"144\" style=\"border-width: 1px;border-style: solid;border-color: rgb(200, 204, 209);vertical-align: middle;background-color: rgb(255, 255, 255);margin: 0px;\" width=\"250\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-e8bbb2bfbdaa3b66ef0ba43052347b55.png\"  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><span style=\"font-size: 13px;color: rgb(136, 136, 136);\">\u82f1\u56fd\u6d77\u5cb8\u6709\u591a\u957f?\u7edf\u8ba1\u81ea\u76f8\u4f3c\u6027\u548c\u5206\u6570\u7ef4\u6570<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/section>\n<ul class=\"list-paddingleft-2\" style=\"margin-left: 8px;margin-right: 8px;\">\n<li style=\"font-size: 15px;\">\n<p style=\"line-height: 2em;\"><span style=\"font-size: 15px;\">Lewis Fry Richardson\u5df2\u7ecf\u901a\u8fc7\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u53bb\u6d4b\u91cf\u4e86\u5f88\u591a\u6d77\u5cb8\u7ebf\u3002\u5b83\u7684\u7ed3\u679c\u6db5\u76d6\u4ece1.02\u7684\u5357\u975e\u6d77\u5cb8\u7ebf\u52301.25\u7684\u5927\u82f1\u5e1d\u56fd\u897f\u6d77\u5cb8\u6a21\u578b\u3002<\/span><\/p>\n<\/li>\n<\/ul>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section data-mpa-template=\"t\" mpa-from-tpl=\"t\">\n<section data-mpa-template=\"t\" mpa-from-tpl=\"t\">\n<section mpa-from-tpl=\"t\">\n<section mpa-from-tpl=\"t\" style=\"white-space: normal;max-width: 100%;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;text-align: center;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<p style=\"max-width: 100%;min-height: 1em;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><br  \/><\/p>\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;max-width: 100%;letter-spacing: 0.544px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;display: inline-block;vertical-align: middle;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"margin-bottom: -2px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;clear: both;line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;line-height: 0;width: 0px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\" mpa-from-tpl=\"t\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;max-width: 100%;border-left: 3px solid rgb(33, 166, 210);border-right: 3px solid rgb(33, 166, 210);border-top-color: rgb(33, 166, 210);border-bottom-color: rgb(33, 166, 210);font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<p style=\"max-width: 100%;min-height: 1em;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><strong style=\"max-width: 100%;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong style=\"max-width: 100%;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><span style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><strong style=\"max-width: 100%;color: rgb(0, 0, 0);letter-spacing: 0.544px;text-align: center;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong style=\"max-width: 100%;text-align: left;color: rgb(33, 166, 210);letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><span style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-is-content=\"t\"><strong>\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u7279\u6027&nbsp;<\/strong><\/span><\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong mpa-from-tpl=\"t\" mpa-is-content=\"t\" style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;font-size: 16px;border-color: rgb(123, 12, 0);\"><\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<h2 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/h2>\n<h3 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><strong>\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u548c\u5f52\u7eb3\u7ef4\u6570&nbsp;<\/strong><\/span><\/h3>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u8bbeX \u662f\u4efb\u610f\u53ef\u5206\u5ea6\u91cf\u7a7a\u95f4\u3002\u5bf9\u4e8eX \u6709\u4e00\u4e2a\u9012\u5f52\u5b9a\u4e49\u7684\u5f52\u7eb3\u7ef4\u6570\u62d3\u6251\u6982\u5ff5\u3002\u5b83\u603b\u662f\u4e00\u4e2a\u6574\u6570(\u6216 + \u221e) \uff0c\u8bb0\u4e3adim <sub>ind<\/sub>(X)\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><span style=\"font-size: 15px;\">\u5b9a\u7406\uff1a\u5047\u8bbeX \u662f\u975e\u7a7a\u7684, \u90a3\u4e48<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-ratio=\"0.14713896457765668\" data-s=\"300,640\"  data-type=\"png\" data-w=\"367\" style=\"\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-7a93aa877a12c823c9b9be0b4adb9db2.png\"  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u6b64\u5916\uff0c<br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-ratio=\"0.14460784313725492\" data-s=\"300,640\"  data-type=\"png\" data-w=\"408\" style=\"\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-7ce5ba1ad7da62f5460317c53b64b7c3.png\"  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u5176\u4e2dY\u662f\u5ea6\u91cf\u7a7a\u95f4\u540c\u80da\u5230 X\u7684\u8303\u56f4\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c X\u548c Y\u5177\u6709\u76f8\u540c\u7684\u57fa\u672c\u70b9\u96c6\uff0cY\u7684\u5ea6\u91cfd<sub>Y<\/sub>&nbsp;\u62d3\u6251\u7b49\u4ef7\u4e8ed<sub>X<\/sub>\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><span style=\"font-size: 15px;\">\u8fd9\u4e9b\u7ed3\u679c\u6700\u521d\u662f\u7531Edward Szpilrajn(1907\u20131976)\u5efa\u7acb\u7684, \u53c2\u89c1 Hurewicz and Wallman, Chapter VII.\u7b2c\u4e03\u7ae0\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<h3 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u548c\u95f5\u53ef\u592b\u65af\u57fa\u7ef4\u5ea6 Hausdorff dimension and Minkowski dimension<\/span><\/h3>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u95f5\u53ef\u592b\u65af\u57fa\u7ef4\u6570<\/span><span style=\"font-size: 15px;\">\u4e0e\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u76f8\u4f3c\uff0c\u81f3\u5c11\u548c\u5b83\u4e00\u6837\u5927\uff0c\u800c\u4e14\u5728\u8bb8\u591a\u60c5\u51b5\u4e0b\u662f\u76f8\u7b49\u7684\u3002\u7136\u800c\uff0c[0,1]\u4e2d\u6709\u7406\u70b9\u96c6\u7684\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u4e3a0\uff0c\u95f5\u53ef\u592b\u65af\u57fa\u7ef4\u6570\u4e3a1\u3002\u8fd8\u6709\u4e00\u4e9b\u7d27\u96c6\u7684\u95f5\u53ef\u592b\u65af\u57fa\u7ef4\u6570\u4e25\u683c\u5927\u4e8e\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<h3 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u8c6a\u65af\u591a\u592b\u7ef4\u5ea6\u548c\u5f17\u6d1b\u65af\u66fc\u6d4b\u5ea6 Hausdorff dimensions and Frostman measures<\/span><\/h3>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u5982\u679c\u5728\u5ea6\u91cf\u7a7a\u95f4&nbsp;X&nbsp;\u7684 Borel \u5b50\u96c6\u4e0a\u5b9a\u4e49\u4e00\u4e2a\u6d4b\u5ea6 \u03bc\uff0c\u4f7f\u5f97\u03bc(X) &gt; 0 \u548c \u03bc(B(x,&nbsp;r)) \u2264&nbsp;r<sup>s<\/sup>\uff0c\u5bf9\u4e8e\u67d0\u4e2a\u5e38\u6570&nbsp;s&nbsp;&gt; 0 \u548c&nbsp;X&nbsp;\u4e2d\u7684\u6bcf\u4e2a\u7403&nbsp;B(x,&nbsp;r) \u6210\u7acb\uff0c\u5219 dim<sub>Haus<\/sub>(X) \u2265 s \u3002\u90e8\u5206\u9006\u5411\u8f6c\u6362\u7531\u5f17\u6d1b\u65af\u66fc\u5f15\u7406\u5b9a\u4e49\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<h3 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;\">\u8054\u5408\u548c\u4ea7\u54c1\u4e0b\u7684\u884c\u4e3a<\/span><\/strong><\/h3>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u5982\u679c\uff0c<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-ratio=\"0.5241935483870968\" data-s=\"300,640\"  data-type=\"png\" data-w=\"124\" style=\"\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-b4167965474bb715d32d428f77d5aced.png\"  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u662f\u4e00\u4e2a\u6709\u9650\u6216\u53ef\u6570\u7684\u8054\u5408\uff0c\u5219<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-ratio=\"0.20408163265306123\" data-s=\"300,640\"  data-type=\"png\" data-w=\"392\" style=\"\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-2c16c5147b08bae85863c694183a6f66.png\"  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u8fd9\u53ef\u4ee5\u76f4\u63a5\u4ece\u5b9a\u4e49\u5f97\u5230\u9a8c\u8bc1\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><span style=\"font-size: 15px;\">\u5982\u679c X \u548cY\u662f\u975e\u7a7a\u5ea6\u91cf\u7a7a\u95f4\uff0c\u90a3\u4e48\u5b83\u4eec\u4e58\u79ef\u7684\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u6ee1\u8db3\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-ratio=\"0.13711151736745886\" data-s=\"300,640\"  data-type=\"png\" data-w=\"547\" style=\"\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-9897de5b82be070eb70298291a8fdb6a.png\"  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u8fd9\u79cd\u4e0d\u5e73\u7b49\u53ef\u4ee5\u662f\u4e25\u683c\u7684\u3002\u6709\u53ef\u80fd\u627e\u5230\u4e24\u4e2a\u7ef4\u6570\u4e3a0\u7684\u96c6\u5408\uff0c\u5176\u4e58\u79ef\u7684\u7ef4\u6570\u4e3a1\u3002\u76f8\u53cd\uff0c\u6211\u4eec\u77e5\u9053\u5f53X\u548cY\u662f <span style=\"caret-color: rgba(0, 0, 0, 0);\">R<\/span><sup><span style=\"caret-color: rgba(0, 0, 0, 0);\">n<\/span><\/sup>\u7684 Borel \u5b50\u96c6\u65f6\uff0c X \u00d7 Y\u7684\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u4ece\u4e0a\u9762\u4ee5 X\u7684\u8c6a\u65af\u591a\u592b\u7ef4\u6570\u52a0\u4e0a Y\u7684\u4e0a\u586b\u5145\u7ef4\u6570\u4e3a\u754c\u3002Mattila (1995)\u66fe\u5c31\u8fd9\u4e9b\u60c5\u51b5\u8fdb\u884c\u4e86\u8ba8\u8bba\u3002<\/span><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section data-mpa-template=\"t\" mpa-from-tpl=\"t\">\n<section data-mpa-template=\"t\" mpa-from-tpl=\"t\">\n<section mpa-from-tpl=\"t\">\n<section mpa-from-tpl=\"t\" style=\"white-space: normal;max-width: 100%;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;text-align: center;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<p style=\"max-width: 100%;min-height: 1em;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><br  \/><\/p>\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;max-width: 100%;letter-spacing: 0.544px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;display: inline-block;vertical-align: middle;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"margin-bottom: -2px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;clear: both;line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;line-height: 0;width: 0px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\" mpa-from-tpl=\"t\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;max-width: 100%;border-left: 3px solid rgb(33, 166, 210);border-right: 3px solid rgb(33, 166, 210);border-top-color: rgb(33, 166, 210);border-bottom-color: rgb(33, 166, 210);font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<p style=\"max-width: 100%;min-height: 1em;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><strong style=\"max-width: 100%;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong style=\"max-width: 100%;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><span style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><strong style=\"max-width: 100%;color: rgb(0, 0, 0);letter-spacing: 0.544px;text-align: center;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong style=\"max-width: 100%;text-align: left;color: rgb(33, 166, 210);letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><span style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-is-content=\"t\">\u81ea\u76f8\u4f3c\u96c6\u5408&nbsp;<\/span><\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong mpa-from-tpl=\"t\" mpa-is-content=\"t\" style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;font-size: 16px;border-color: rgb(123, 12, 0);\"><\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<h2 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/h2>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u8bb8\u591a\u7531\u81ea\u76f8\u4f3c\u6761\u4ef6\u5b9a\u4e49\u7684\u96c6\u5408\u5177\u6709\u53ef\u4ee5\u663e\u5f0f\u786e\u5b9a\u7684\u7ef4\u6570\u3002\u7c97\u7565\u5730\u8bf4\uff0c\u5982\u679c\u96c6\u5408E\u662f\u96c6\u503c\u03c8\u53d8\u6362\u7684\u4e0d\u52a8\u70b9\uff0c\u5373\u03c8(E) = E\uff0c \u5219\u5b83\u662f\u81ea\u76f8\u4f3c\u7684\uff0c\u5c3d\u7ba1\u4e0b\u9762\u7ed9\u51fa\u4e86\u786e\u5207\u7684\u5b9a\u4e49\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u5b9a\u7406\uff1a\u5047\u8bbe<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-ratio=\"0.14766839378238342\" data-s=\"300,640\"  data-type=\"png\" data-w=\"386\" style=\"\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-5868610a08873ad450c193389bf98a2d.png\"  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u662f&nbsp;<span style=\"caret-color: rgba(0, 0, 0, 0);\">R<\/span><sup style=\"white-space: normal;\"><span style=\"caret-color: rgba(0, 0, 0, 0);\">n<\/span><\/sup>\u4e0a\u7684\u538b\u7f29\u5e38\u6570r<sub>j<\/sub>&#8216;&lt; 1\u7684\u538b\u7f29\u6620\u5c04\u3002\u5219\u6709\u4e00\u4e2a\u552f\u4e00\u7684\u975e\u7a7a\u7d27\u96c6A<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-ratio=\"0.38197424892703863\" data-s=\"300,640\"  data-type=\"png\" data-w=\"233\" style=\"\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-f1ade7cdf35d3a8a477bb7d879cb0c80.png\"  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u8fd9\u4e2a\u5b9a\u7406\u6765\u6e90\u4e8e Stefan Banach \u7684\u538b\u7f29\u6620\u5c04\u4e0d\u52a8\u70b9\u5b9a\u7406\uff0c\u8be5\u5b9a\u7406\u5e94\u7528\u4e8e \u5177\u6709\u8c6a\u65af\u591a\u592b\u8ddd\u79bb\u7684Rn \u7684\u975e\u7a7a\u7d27\u5b50\u96c6\u7684\u5b8c\u6574\u5ea6\u91cf\u7a7a\u95f4\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<h3 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;\">\u5f00\u96c6\u6761\u4ef6<\/span><\/strong><\/h3>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u4e3a\u4e86\u786e\u5b9a\u81ea\u76f8\u4f3c\u96c6A \u7684\u7ef4\u6570(\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b) \uff0c\u6211\u4eec\u9700\u8981\u4e00\u4e2a\u5173\u4e8e\u6536\u7f29\u5e8f\u5217\u7684\u79f0\u4e3a\u5f00\u96c6\u6761\u4ef6(OSC)\u7684\u6280\u672f\u6761\u4ef6\u03c8<\/span><sub><span style=\"font-size: 15px;\">i<\/span><\/sub><span style=\"font-size: 15px;\">\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><span style=\"font-size: 15px;\">\u6709\u4e00\u4e2a\u76f8\u5bf9\u7d27\u7684\u5f00\u96c6V<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-ratio=\"0.1975806451612903\" data-s=\"300,640\"  data-type=\"png\" data-w=\"496\" style=\"\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-6212afc63b9722b887b659772c60deaf.png\"  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u5de6\u8fb9\u5e76\u96c6\u7684\u96c6\u5408\u6210\u5bf9\u4e0d\u76f8\u4ea4\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><span style=\"font-size: 15px;\">\u5f00\u96c6\u6761\u4ef6\u662f\u4fdd\u8bc1\u56fe\u50cf\u03c8<sub>i<\/sub>(V) \u4e0d\u91cd\u53e0\u201c\u592a\u591a\u201d\u7684\u5206\u79bb\u6761\u4ef6\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><span style=\"font-size: 15px;\">\u5b9a\u7406\u5047\u8bbe\u5f00\u96c6\u6761\u4ef6\u6210\u7acb\uff0c\u5e76\u4e14\u6bcf\u4e2a\u03c8<sub style=\"white-space: normal;\">i<\/sub> \u662f\u4e00\u4e2a\u76f8\u4f3c\u5ea6\uff0c\u5373\u7b49\u8ddd\u548c\u67d0\u4e2a\u70b9\u5468\u56f4\u7684\u81a8\u80c0\u7684\u7ec4\u5408\u3002\u3002\u90a3\u4e48\u552f\u4e00\u7684\u4e0d\u52a8\u70b9\u662fHausdorff\u7ef4\u6570\u4e3a s \u7684\u96c6\u5408\uff0c\u5176\u4e2d s \u662f s\u7684\u552f\u4e00\u89e3<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/section>\n<p style=\"text-align: center;\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-ratio=\"0.41708542713567837\" data-s=\"300,640\"  data-type=\"png\" data-w=\"199\" style=\"\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-43488c679f0e51538dd3a4daa242eb38.png\"  \/><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u76f8\u4f3c\u7269\u7684\u6536\u7f29\u7cfb\u6570\u5c31\u662f\u81a8\u80c0\u7684\u5927\u5c0f\u3002<\/span><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><span style=\"font-size: 15px;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u8fd9\u4e2a\u5b9a\u7406\u6765\u8ba1\u7b97\u8c22\u5c14\u5bbe\u65af\u57fa\u4e09\u89d2\u5f62\u7684\u8c6a\u65af\u591a\u592b\u7ef4\u6570(\u6216\u8005\u6709\u65f6\u5019\u53eb\u505a\u8c22\u5c14\u5bbe\u65af\u57fa\u57ab\u5708)\u3002\u8003\u8651R2 \u5e73\u9762\u4e0a\u7684\u4e09\u4e2a\u975e\u5171\u7ebf\u70b9\uff0ca1\uff0ca2\uff0ca3\uff0c\u8ba9\u03c8i\u662f\u56f4\u7ed5\u7740ai\u6bd4\u73871\/2\u7684\u81a8\u80c0\u3002\u5bf9\u5e94\u6620\u5c04\u7684\u552f\u4e00\u975e\u7a7a\u4e0d\u52a8\u70b9\u662f\u4e00\u4e2a\u8c22\u5c14\u5bbe\u65af\u57fa\u57ab\u5708\uff0c\u5176\u7ef4\u6570s\u662f\u5bf9\u5e94\u6620\u5c04\u7684\u552f\u4e00\u89e3<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-ratio=\"0.17204301075268819\" data-s=\"300,640\"  data-type=\"png\" data-w=\"558\" style=\"\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-fbb9935cba1804ca40a931fb584e89b5.png\"  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u53d6\u4e0a\u8ff0\u65b9\u7a0b\u4e24\u8fb9\u7684\u81ea\u7136\u5bf9\u6570\uff0c\u6211\u4eec\u53ef\u4ee5\u6c42\u51fa s\uff0c\u5373: s = ln(3)\/ln(2)\u3002\u8be5\u5bc6\u5c01\u57ab\u5177\u6709\u81ea\u76f8\u4f3c\u6027\uff0c\u6ee1\u8db3 OSC \u8981\u6c42\u3002\u4e00\u822c\u6765\u8bf4\uff0c\u96c6\u5408 E\u662f\u4e00\u4e2a\u6620\u5c04\u7684\u4e0d\u52a8\u70b9<br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-ratio=\"0.25483870967741934\" data-s=\"300,640\"  data-type=\"png\" data-w=\"310\" style=\"\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-96285aa1c41fac1797b77a05946fad14.png\"  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u662f\u81ea\u76f8\u4f3c\u7684\uff0c\u5f53\u4e14\u4ec5\u5f53<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-ratio=\"0.18611111111111112\" data-s=\"300,640\"  data-type=\"png\" data-w=\"360\" style=\"\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-2014b0351d21ffdc4c4c24d461b096f6.png\"  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u5176\u4e2d s\u662fE\u7684\u8c6a\u65af\u591a\u592b\u7ef4\u6570\uff0c Hs \u8868\u793a \u8c6a\u65af\u591a\u592b\u6d4b\u5ea6\u3002\u5bf9\u4e8e\u8c22\u5c14\u5bbe\u65af\u57fa\u57ab\u5708\uff08\u4ea4\u53c9\u70b9\u5c31\u662f\u70b9\uff09\u6765\u8bf4\uff0c\u8fd9\u4e00\u70b9\u5f88\u660e\u663e\uff0c\u4f46\u66f4\u666e\u904d\u7684\u60c5\u51b5\u662f:<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><span style=\"font-size: 15px;\">\u5b9a\u7406\uff1a\u5728\u4e0e\u524d\u4e00\u5b9a\u7406\u76f8\u540c\u7684\u6761\u4ef6\u4e0b\uff0c\u5176\u552f\u4e00\u4e0d\u52a8\u70b9 \u03c8 \u662f\u81ea\u76f8\u4f3c\u7684\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/section>\n<section data-mpa-template=\"t\" mpa-from-tpl=\"t\">\n<section data-mpa-template=\"t\" mpa-from-tpl=\"t\">\n<section mpa-from-tpl=\"t\">\n<section mpa-from-tpl=\"t\" style=\"white-space: normal;max-width: 100%;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;text-align: center;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<p style=\"max-width: 100%;min-height: 1em;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><br  \/><\/p>\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;max-width: 100%;letter-spacing: 0.544px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;display: inline-block;vertical-align: middle;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"margin-bottom: -2px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;clear: both;line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;line-height: 0;width: 0px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\" mpa-from-tpl=\"t\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;max-width: 100%;border-left: 3px solid rgb(33, 166, 210);border-right: 3px solid rgb(33, 166, 210);border-top-color: rgb(33, 166, 210);border-bottom-color: rgb(33, 166, 210);font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<p style=\"max-width: 100%;min-height: 1em;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><strong style=\"max-width: 100%;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong style=\"max-width: 100%;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><span style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><strong style=\"max-width: 100%;color: rgb(0, 0, 0);letter-spacing: 0.544px;text-align: center;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong style=\"max-width: 100%;text-align: left;color: rgb(33, 166, 210);letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><span style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-is-content=\"t\">\u7f16\u8005\u63a8\u8350<\/span><\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong mpa-from-tpl=\"t\" mpa-is-content=\"t\" style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;font-size: 16px;border-color: rgb(123, 12, 0);\"><\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<h2 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/h2>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"1.462686567164179\"  data-type=\"jpeg\" data-w=\"268\" height=\"392\" style=\"border-width: 1px;border-style: solid;border-color: rgb(200, 204, 209);vertical-align: middle;background-color: rgb(255, 255, 255);margin: 0px;\" width=\"268\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-9f127c720eb377e8894e139a61f39c71.jpeg\"  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">\u4e66\u7c4d\u300a\u5927\u81ea\u7136\u7684\u5206\u5f62\u51e0\u4f55\u300b\u5c01\u9762<\/span><br  \/><\/section>\n<h3 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/h3>\n<h3 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;\">\u4e66\u7c4d\u63a8\u8350<\/span><\/strong><\/h3>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;\">\u5206\u5f62\u5bf9\u8c61\uff1a\u5f62\u3001\u673a\u9047\u548c\u7ef4\u6570 Fractals:From,Chance,and Dimension<\/span><\/strong><span style=\"font-size: 15px;\"><\/span><\/h4>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u672c\u4e66\u8003\u5bdf\u548c\u7814\u7a76\u51fa\u73b0\u5728\u81ea\u7136\u754c\u4e2d\u7684\u82e5\u5e72\u5178\u578b\u5206\u5f62\u5bf9\u8c61\uff0c\u4e3a\u6211\u4eec\u63d0\u4f9b\u4e86\u4e00\u4e2a\u5173\u4e8e\u5206\u5f62\u7684\u5185\u5bb9\uff0c\u610f\u4e49\u53ca\u65b9\u6cd5\u7684\u627c\u8981\u4ecb\u7ecd\u3002\u5c3d\u7ba1\u81ea\u8be5\u4e66\u7b2c\u4e00\u7248\uff08\u6cd5\u6587\u7248\uff09\u95ee\u4e16\u4ee5\u6765\uff0c\u5206\u5f62\u7684\u7406\u8bba\u53ca\u5176\u5e94\u7528\u53d1\u5c55\u6781\u4e3a\u8fc5\u901f\uff0c\u5e76\u51fa\u73b0\u4e86\u5927\u91cf\u7684\u6709\u5173\u8457\u4f5c\uff0c\u4f46\u6b64\u4e66\u4ecd\u4e0d\u5931\u4e3a\u5206\u5f62\u7406\u8bba\u6700\u597d\u7684\u5165\u95e8\u4e66\u4e4b\u4e00<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;\">\u5927\u81ea\u7136\u7684\u5206\u5f62\u51e0\u4f55 The Fractal Geometry of Nature<\/span><\/strong><span style=\"font-size: 15px;\"><\/span><\/h4>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u8fd9\u672c\u4e66\u4ecb\u7ecd\u4e86\u81ea\u7136\u754c\u4e2d\u5404\u79cd\u5404\u6837\u7684\u5206\u5f62\u7406\u8bba\uff0c\u4ece\u6d77\u5cb8\u7ebf\u3001\u96ea\u82b1\uff0c\u5230\u6cb3\u6d41\u3001\u661f\u7cfb\u7b49\u81ea\u7136\u73b0\u8c61\uff0c\u53bb\u9610\u8ff0\u5206\u5f62\u8fd9\u4e00\u6982\u5ff5\u3002\u4f5c\u4e3a\u591a\u4e2a\u5b66\u79d1\u7684\u4ea4\u53c9\uff0c\u5206\u5f62\u51e0\u4f55\u5bf9\u4ee5\u5f80\u6b27\u6c0f\u51e0\u4f55\u4e0d\u5c51\u4e00\u987e\uff08\u6216\u8bf4\u65e0\u80fd\u4e3a\u529b\uff09\u7684\u201c\u75c5\u6001\u201d\u66f2\u7ebf\uff08\u5982\u79d1\u8d6b\u96ea\u82b1\u66f2\u7ebf\u7b49\uff09\u7684\u5168\u65b0\u89e3\u91ca\uff0c\u662f\u4eba\u7c7b\u8ba4\u8bc6\u5ba2\u89c2\u4e16\u754c\u4e0d\u65ad\u5f00\u62d3\u7684\u5fc5\u7136\u7ed3\u679c\u3002\u8fd9\u8bf4\u660e\u6b27\u6c0f\u51e0\u4f55\u53ea\u662f\u5bf9\u5ba2\u89c2\u4e16\u754c\u7684\u8fd1\u4f3c\u53cd\u6620\uff0c\u800c\u5206\u5f62\u51e0\u4f55\u5219\u6df1\u5316\u4e86\u8fd9\u79cd\u8ba4\u8bc6\uff0c\u56e0\u6b64\u5206\u5f62\u51e0\u4f55\u5b66\u662f\u63cf\u8ff0\u5404\u79cd\u590d\u6742\u81ea\u7136\u66f2\u7ebf\u7684\u5927\u81ea\u7136\u7684\u51e0\u4f55\u5b66\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;\">\u5e02\u573a\u7684\uff08\u9519\u8bef\uff09\u884c\u4e3a\uff1a\u98ce\u9669\u3001\u7834\u4ea7\u4e0e\u6536\u76ca\u7684\u5206\u5f62\u89c2\u70b9The Misbehavior of Markets: A Fractal View of Financial Turbulence<\/span><\/strong><\/h4>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u300a\u5e02\u573a\u7684\uff08\u9519\u8bef\uff09\u884c\u4e3a\u300b\u4ee5\u5206\u5f62\u89c6\u89d2\u89c2\u5bdf\u91d1\u878d\u5e02\u573a\u7684\u884c\u4e3a\uff0c\u63a8\u7ffb\u4e86\u4f5c\u4e3a\u5f53\u4ee3\u91d1\u878d\u5206\u6790\u57fa\u7840\u7684\u201c\u968f\u673a\u6e38\u8d70\u201d\u7406\u8bba\u3002\u901a\u8fc7\u5206\u5f62\u6a21\u578b\uff0c\u5e02\u573a\u8868\u73b0\u88ab\u91cd\u65b0\u9610\u91ca\u3002\u672c\u4e66\u662f\u73b0\u4ee3\u91d1\u878d\u7406\u8bba\u6807\u51c6\u5de5\u5177\u548c\u6a21\u578b\u7684\u4e00\u6b21\u9769\u547d\u6027\u91cd\u4f30\uff0c\u4e66\u4e2d\u7684\u89c2\u70b9\u98a0\u8986\u4e86\u6210\u5343\u4e0a\u4e07\u6295\u8d44\u8005\u7684\u65e2\u6709\u89c2\u5ff5\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<h3 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;\">\u7f51\u7ad9\u8d44\u6e90<\/span><\/strong><\/h3>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;\">\u5206\u5f62\u827a\u672f\u7f51<\/span><\/strong><\/h4>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">http:\/\/www.fxysw.com\/forum-12-1.html<\/span><br  \/><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"1\"  data-type=\"jpeg\" data-w=\"400\" height=\"400\" style=\"border-width: 1px;border-style: solid;border-color: rgb(200, 204, 209);vertical-align: middle;background-color: rgb(255, 255, 255);margin: 0px;\" width=\"400\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-d54ce8a65825a21ce1aa80868c66fbdb.jpeg\"  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><span style=\"font-size: 13px;color: rgb(136, 136, 136);\">\u5206\u5f62\u827a\u672f\u7f51\u4f5c\u54c1<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u5206\u5f62\u827a\u672f\u7f51\u662f\u4e00\u4e2a\u5c55\u793a\u5206\u5f62\u827a\u672f\u4e4b\u7f8e\uff0c\u5b66\u4e60\u4ea4\u6d41\u5206\u5f62\u827a\u672f\u521b\u4f5c\u7684\u5e73\u53f0\uff0c\u5176\u4e2d\u5305\u542b\u4e86\u5f88\u591a\u5206\u5f62\u827a\u672f\u4f5c\u54c1\u53ca\u5206\u5f62\u8d44\u6e90\u63a8\u8350\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<h3 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;\">\u89c6\u9891\u8d44\u6e90<\/span><\/strong><span style=\"font-size: 15px;\"><\/span><\/h3>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;\">TED\u5206\u4eab\u89c6\u9891\uff1a\u4f2f\u52aa\u00b7\u74e6\u66fc\u5fb7\u5e03\u6d1b\u7279: \u5206\u5f62\u548c\u7c97\u7cd9\u7684\u827a\u672f Benoit Mandelbrot: Fractals and the Art of Roughness<\/span><\/strong><\/h4>\n<p style=\"text-align: justify;margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">https:\/\/www.ted.com\/talks\/benoit_mandelbrot_fractals_and_the_art_of_roughness<\/span><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">Benoit Mandelbrot\u7684\u7814\u7a76\u4f7f\u4e16\u754c\u5bf9\u5206\u5f62\u6709\u4e86\u66f4\u6df1\u523b\u7684\u7406\u89e3\uff0c\u5206\u5f62\u662f\u7814\u7a76\u7c97\u7cd9\u7684\u5e7f\u6cdb\u800c\u6709\u529b\u7684\u5de5\u5177\uff0c\u5728\u81ea\u7136\u754c\u548c\u4eba\u7c7b\u7684\u4f5c\u54c1\u4e2d\u90fd\u662f\u5982\u6b64\u3002\u8be5\u89c6\u9891\u6982\u8ff0\u4e86\u5206\u5f62\u7684\u7814\u7a76\uff0c\u4ee5\u53ca\u5b83\u4eec\u4e3a\u8bb8\u591a\u9886\u57df\u5e26\u6765\u7684\u98a0\u8986\u6027\u89c1\u89e3\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><strong>\u5bfb\u627e\u9690\u85cf\u7684\u7ef4 Hunting the Hidden Dimension<\/strong><\/span><\/h4>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">https:\/\/www.bilibili.com\/video\/av13766486\/?p=2<\/span><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u4ec0\u4e48\u662f\u7535\u5f71\u7279\u6548\uff0c\u80a1\u7968\u5e02\u573a\uff0c\u548c\u5fc3\u810f\u75c5\u7684\u5171\u540c\u70b9\uff1f\u5b83\u4eec\u8fde\u63a5\u4e86\u4e00\u4e2a\u9769\u547d\u6027\u7684\u65b0\u7684\u6570\u5b66\u5206\u652f\uff0c\u6539\u53d8\u4e86\u6211\u4eec\u770b\u4e16\u754c\uff0c\u5f00\u8f9f\u4e86\u5e7f\u9614\u7684\u65b0\u9886\u57df\uff0c\u4ee5\u79d1\u5b66\u7684\u5206\u6790\u548c\u7406\u89e3\u3002\u6570\u5b66\u5bb6\u4eec\u5f00\u53d1\u4e0d\u89c4\u5219\u788e\u7247\u5f62\u662f\u4ece\u5355\u7eaf\u7684\u597d\u5947\u5fc3\u5230\u63a5\u89e6\u51e0\u4e4e\u6bcf\u4e00\u4e2a\u5206\u79d1\u7684\u7406\u89e3\uff0c\u5305\u62ec\u6211\u4eec\u5b87\u5b99\u7684\u547d\u8fd0\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<h3 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;\">\u8bfe\u7a0b\u63a8\u8350<\/span><\/strong><\/h3>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-ratio=\"0.6775\"  data-type=\"png\" data-w=\"400\" height=\"271\" style=\"border-width: 1px;border-style: solid;border-color: rgb(200, 204, 209);vertical-align: middle;background-color: rgb(255, 255, 255);margin: 0px;\" width=\"400\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-d56e56ded958980799fea35e7c6a6789.png\"  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><span style=\"font-size: 13px;color: rgb(136, 136, 136);\">\u7cfb\u7edf\u79d1\u5b66\u7b80\u53f2\u4e0e\u73b0\u4ee3\u590d\u6742\u7cfb\u7edf\u79d1\u5b66,\u672c\u8bfe\u7a0b\u4e3b\u8981\u63a2\u8ba8\u4e86\u73b0\u4ee3\u590d\u6742\u7cfb\u7edf\u79d1\u5b66\u7684\u7814\u7a76\u4e3b\u9898\uff0c\u540c\u65f6\u4e5f\u4ecb\u7ecd\u4e86\u7cfb\u7edf\u79d1\u5b66\u7684\u5386\u53f2\uff0c\u751f\u547d\u6e38\u620f\u4e0e\u5206\u5f62\u7ed3\u6784\u7b49\u77e5\u8bc6\u70b9https:\/\/campus.swarma.org\/course\/283<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: center;\"><br  \/><\/section>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\"><strong>\u5206\u5f62\u4e0e\u5947\u5f02\u5438\u5f15\u5b50\u7684\u51e0\u4f55\u5b66<\/strong><\/span><\/h4>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">https:\/\/campus.swarma.org\/course\/694<\/span><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u672c\u8bfe\u7a0b\u5bf9\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u548c\u6df7\u6c8c\u8fdb\u884c\u4e86\u8be6\u7ec6\u7684\u8bb2\u89e3\uff0c\u5f3a\u8c03\u5206\u6790\u65b9\u6cd5\u3001\u5177\u4f53\u5b9e\u4f8b\u548c\u51e0\u4f55\u76f4\u89c9\u3002\u4e3b\u8bb2\u4eba\u4e3aSteven Strogatz\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;\">\u5206\u5f62\u7684\u4e16\u754c<\/span><\/strong><\/h4>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">https:\/\/campus.swarma.org\/course\/760<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;\">\u5728\u6b64\u5802\u8bfe\u7a0b\uff0c\u4e3b\u8981\u4ecb\u7ecd\u4e86\u5173\u4e8e\u5206\u5f62\u7684\u601d\u60f3\u4e0e\u8109\u7edc\uff0c\u5206\u5f62\u73b0\u8c61\u3001\u5206\u5f62\u7ef4\u6570\u3001\u5229\u7528\u5206\u5f62\u89c4\u5f8b\u7684\u8ba1\u7b97\u65b9\u6cd5\u4ee5\u53ca\u6df7\u6c8c\u3002\u4e3b\u8bb2\u4eba\u4e3a\u5317\u4eac\u5e08\u8303\u5927\u5b66\u7cfb\u7edf\u5b66\u9662\u72c4\u589e\u5982\u6559\u6388\u3002\u72c4\u589e\u5982\u6559\u6388\u4e3b\u8981\u4ece\u4e8b\u590d\u6742\u7f51\u7edc\u548c\u7ecf\u6d4e\uff08\u91d1\u878d\uff09\u7269\u7406\u5b66\u7b49\u65b9\u9762\u7684\u7814\u7a76\uff0c\u662f\u56fd\u5185\u6700\u65e9\u4ece\u4e8b\u7ecf\u6d4e\u7269\u7406\u5b66\u7814\u7a76\u7684\u5b66\u8005\u4e4b\u4e00\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<h3 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;\">\u96c6\u667a\u767e\u79d1\u6587\u7ae0<\/span><\/strong><\/h3>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247501672&amp;idx=2&amp;sn=8d3a3bde0f8b1c4c8419252d3fef4bb3&amp;chksm=e8979de5dfe014f3f1be8fa1a2abf0fc32fded6da28a5520c22b5d6ec4863001bacae63e9635&amp;scene=21#wechat_redirect\" textvalue=\"\u5206\u5f62\u51e0\u4f55\uff1a\u5bfb\u627e\u9690\u85cf\u7684\u7ef4\u5ea6 | \u96c6\u667a\u767e\u79d1\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" style=\"font-size: 15px;\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"font-size: 15px;\">\u5206\u5f62\u51e0\u4f55\uff1a\u5bfb\u627e\u9690\u85cf\u7684\u7ef4\u5ea6 | \u96c6\u667a\u767e\u79d1<\/span><\/a><br  \/><\/h4>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247490067&amp;idx=1&amp;sn=cfd5bd64b27a016c3aafdcead706bcd1&amp;chksm=e894409edfe3c988dfa9b6f072c93123d1d9f7ba5c09c1e466667905da0cdaaac1ed4f84d3b7&amp;scene=21#wechat_redirect\" textvalue=\"\u4e0e\u6811\u5171\u821e\uff1a\u5206\u5f62\u821e\u8e48\u53ef\u89c6\u5316\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" style=\"font-size: 15px;\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"font-size: 15px;\">\u4e0e\u6811\u5171\u821e\uff1a\u5206\u5f62\u821e\u8e48\u53ef\u89c6\u5316<\/span><\/a><br  \/><\/h4>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247499385&amp;idx=1&amp;sn=795813cb4bb8b0113a18865d9d164d56&amp;chksm=e897a4f4dfe02de2631e64e97ac30905173f4b9711b09ba04b5bc20959cd453cbac8ea135fd7&amp;scene=21#wechat_redirect\" textvalue=\"\u57ce\u5e02\u4e3a\u4f55\u9075\u5faa\u89c4\u6a21\u6cd5\u5219\uff1f\u5206\u5f62\u51e0\u4f55\u63ed\u5f00\u5e42\u5f8b\u6210\u56e0\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" style=\"font-size: 15px;\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"font-size: 15px;\">\u57ce\u5e02\u4e3a\u4f55\u9075\u5faa\u89c4\u6a21\u6cd5\u5219\uff1f\u5206\u5f62\u51e0\u4f55\u63ed\u5f00\u5e42\u5f8b\u6210\u56e0<\/span><\/a><br  \/><\/h4>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247490394&amp;idx=2&amp;sn=5e50f07a332ad93e661dd3ff57dc0a21&amp;chksm=e89441d7dfe3c8c1ee78a4922709d3cbfa91ffed814ab30885472942e64d0ef640e4b695250f&amp;scene=21#wechat_redirect\" textvalue=\"\u6df7\u6c8c\u3001\u5206\u5f62\u7406\u8bba\u53ca\u5176\u5728\u4fe1\u606f\u79d1\u5b66\u4e2d\u7684\u5e94\u7528 | IWCFTA2018\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" style=\"font-size: 15px;\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"font-size: 15px;\">\u6df7\u6c8c\u3001\u5206\u5f62\u7406\u8bba\u53ca\u5176\u5728\u4fe1\u606f\u79d1\u5b66\u4e2d\u7684\u5e94\u7528 | IWCFTA2018<\/span><\/a><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section data-mpa-template=\"t\" mpa-from-tpl=\"t\">\n<section data-mpa-template=\"t\" mpa-from-tpl=\"t\">\n<section mpa-from-tpl=\"t\">\n<section mpa-from-tpl=\"t\" style=\"white-space: normal;max-width: 100%;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;text-align: center;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<p style=\"max-width: 100%;min-height: 1em;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><br  \/><\/p>\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section mpa-from-tpl=\"t\" style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;max-width: 100%;letter-spacing: 0.544px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;display: inline-block;vertical-align: middle;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"margin-bottom: -2px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;clear: both;line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;line-height: 0;width: 0px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\" mpa-from-tpl=\"t\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;max-width: 100%;border-left: 3px solid rgb(33, 166, 210);border-right: 3px solid rgb(33, 166, 210);border-top-color: rgb(33, 166, 210);border-bottom-color: rgb(33, 166, 210);font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<p style=\"max-width: 100%;min-height: 1em;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><strong style=\"max-width: 100%;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong style=\"max-width: 100%;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><span style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\"><strong style=\"max-width: 100%;color: rgb(0, 0, 0);letter-spacing: 0.544px;text-align: center;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong style=\"max-width: 100%;text-align: left;color: rgb(33, 166, 210);letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><span style=\"max-width: 100%;letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-is-content=\"t\">\u767e\u79d1\u9879\u76ee\u5fd7\u613f\u8005\u62db\u52df<\/span><\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\">\n<section style=\"max-width: 100%;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><\/section>\n<section style=\"max-width: 100%;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"><strong mpa-from-tpl=\"t\" mpa-is-content=\"t\" style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;font-size: 16px;border-color: rgb(123, 12, 0);\"><\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<p><br mpa-from-tpl=\"t\"  \/><\/p>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><span style=\"display: none;line-height: 0px;\">\u200d<\/span><span style=\"display: none;line-height: 0px;\">\u200d<\/span><span style=\"outline: 0px;font-size: 15px;\">\u4f5c\u4e3a\u96c6\u667a\u767e\u79d1\u9879\u76ee\u56e2\u961f\u7684\u6210\u5458\uff0c\u672c\u6587\u5185\u5bb9\u7531<\/span><strong style=\"outline: 0px;\"><span style=\"outline: 0px;font-size: 15px;\">\u8584\u8377<\/span><\/strong><strong style=\"outline: 0px;\"><\/strong><strong style=\"outline: 0px;\"><\/strong><strong style=\"outline: 0px;\"><\/strong><strong style=\"outline: 0px;\"><\/strong><strong style=\"outline: 0px;\"><\/strong><span style=\"outline: 0px;font-size: 15px;\">\u7f16\u8f91\u3002\u6211\u4eec\u4e5f\u4e3a\u6bcf\u4f4d\u4f5c\u8005\u548c\u5fd7\u613f\u8005\u51c6\u5907\u4e86\u4e13\u5c5e\u7b80\u4ecb\u548c\u4e2a\u4eba\u96c6\u667a\u767e\u79d1\u4e3b\u9875\uff0c\u66f4\u591a\u4fe1\u606f\u53ef\u4ee5\u8bbf\u95ee\u5176\u96c6\u667a\u767e\u79d1\u4e2a\u4eba\u4e3b\u9875\u3002<\/span><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);text-align: center;\"><span style=\"letter-spacing: 0.544px;\"><\/span><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);text-align: center;\"><img class=\"rich_pages wxw-img\" data-ratio=\"0.5555555555555556\" data-s=\"300,640\"  data-type=\"png\" data-w=\"900\" style=\"outline: 0px;box-sizing: border-box !important;width: 677px !important;visibility: visible !important;\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-3632e993e3fc353a22f5ab3626be9dcf.png\"  \/><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);min-height: 1em;line-height: 1.75em;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);min-height: 1em;line-height: 1.75em;\"><span style=\"outline: 0px;font-size: 15px;\">\u4ee5\u4e0a\u5185\u5bb9\u90fd\u662f\u6211\u4eec\u505a\u8fd9\u9879\u76ee\u7684\u8d77\u70b9\uff0c\u4f5c\u4e3a\u6765\u81ea\u4e0d\u540c\u5b66\u79d1\u548c\u9886\u57df\u7684\u5fd7\u613f\u8005\uff0c\u6211\u4eec\u5efa\u7acb\u8d77\u4e00\u4e2a\u6709\u6548\u7684\u767e\u79d1\u56e2\u961f\uff0c\u5206\u914d\u6709\u5ba1\u6821\u3001\u7ffb\u8bd1\u3001\u7f16\u8f91\u3001\u5ba3\u4f20\u7b49\u5de5\u4f5c\u3002\u6211\u4eec\u79c9\u6301\uff1a\u77e5\u8bc6\u4ece\u6211\u800c\u6765\uff0c\u95ee\u9898\u5230\u6211\u4e3a\u6b62\u7684\u4fe1\u5ff5\uff0c\u8ba4\u771f\u8d1f\u8d23\u7f16\u64b0\u6bcf\u4e00\u4e2a\u8bcd\u6761\u3002<\/span><br style=\"outline: 0px;\"  \/><\/section>\n<p style=\"outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);\"><br style=\"outline: 0px;\"  \/><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><br style=\"outline: 0px;\"  \/><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);text-align: center;line-height: 1.75em;\"><img class=\"rich_pages wxw-img\" data-fileid=\"100100516\" data-ratio=\"0.5555555555555556\" data-s=\"300,640\"  data-type=\"png\" data-w=\"900\" style=\"outline: 0px;display: inline;box-sizing: border-box !important;visibility: visible !important;width: 677px !important;\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-96a62292ad1641ec07d2bdfec113a955.png\"  \/><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);text-align: center;line-height: 1.75em;\"><br style=\"outline: 0px;\"  \/><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><span style=\"outline: 0px;font-size: 15px;\">\u5728\u8fd9\u91cc\u4ece\u590d\u6742\u6027\u77e5\u8bc6\u51fa\u53d1\u4e0e\u4f19\u4f34\u540c\u884c\uff0c\u540c\u65f6\u6211\u4eec\u5e0c\u671b\u6709\u66f4\u591a\u5fd7\u613f\u8005\u52a0\u5165\u8fd9\u4e2a\u56e2\u961f\uff0c\u4f7f\u767e\u79d1\u8bcd\u6761\u5185\u5bb9\u5f97\u5230\u6269\u5145\uff0c\u5e76\u4e3a\u6bcf\u4f4d\u5fd7\u613f\u8005\u63d0\u4f9b\u76f8\u5e94\u5956\u52b1\u4e0e\u8d44\u6e90\uff0c\u5efa\u7acb\u4e2a\u4eba\u4e3b\u9875\u4e0e\u8d21\u732e\u8bb0\u5f55\uff0c\u4f7f\u5176\u80fd\u591f\u7ee7\u7eed\u63a2\u7d22\u590d\u6742\u4e16\u754c\u3002<\/span><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><br style=\"outline: 0px;\"  \/><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);text-size-adjust: 100%;line-height: 1.75em;\"><span style=\"outline: 0px;font-size: 15px;\">\u5982\u679c\u4f60\u6709\u610f\u53c2\u4e0e\u66f4\u52a0\u7cfb\u7edf\u7cbe\u7ec6\u7684\u5206\u5de5\uff0c\u626b\u63cf\u4e8c\u7ef4\u7801\u586b\u5199\u62a5\u540d\u8868\uff0c\u6211\u4eec\u671f\u5f85\u4f60\u7684\u52a0\u5165\uff01<\/span><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);text-size-adjust: 100%;line-height: 1.75em;\"><br style=\"outline: 0px;\"  \/><\/p>\n<p style=\"outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);\"><br style=\"outline: 0px;\"  \/><\/p>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);text-size-adjust: 100%;min-height: 1em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-cropselx1=\"0\" data-cropselx2=\"562\" data-cropsely1=\"0\" data-cropsely2=\"312\" data-fileid=\"100100513\" data-ratio=\"1\" data-s=\"300,640\"  data-type=\"png\" data-w=\"500\" style=\"outline: 0px;display: inline;box-sizing: border-box !important;visibility: visible !important;width: 188px !important;\" src=\"\/wp-content\/uploads\/2022\/01\/wxsync-2022-01-2362e8c744727da7bd820ef764b6029b.png\"  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);text-size-adjust: 100%;line-height: 1.75em;text-align: center;\"><span style=\"outline: 0px;font-size: 14px;color: rgb(136, 136, 136);\">\u96c6\u667a\u767e\u79d1\u62a5\u540d\u8868<\/span><\/section>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><br style=\"outline: 0px;\"  \/><\/p>\n<section style=\"outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);\">\n<blockquote data-type=\"2\" data-url=\"\" data-author-name=\"\" data-content-utf8-length=\"13\" data-source-title=\"\" style=\"outline: 0px;color: rgba(0, 0, 0, 0.5);\">\n<section style=\"outline: 0px;\">\n<p style=\"outline: 0px;\">\u6765\u6e90\uff1a\u96c6\u667a\u767e\u79d1<\/p>\n<p style=\"outline: 0px;\">\u7f16\u8f91\uff1a\u738b\u5efa\u840d<\/p>\n<\/section>\n<\/blockquote>\n<\/section>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><br style=\"outline: 0px;\"  \/><\/p>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><span style=\"outline: 0px;color: rgb(61, 170, 214);\"><strong style=\"outline: 0px;\"><span style=\"outline: 0px;font-size: 15px;\">\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/span><\/section>\n<ul class=\"list-paddingleft-2\" style=\"outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;width: 577.412px;background-color: rgb(255, 255, 255);\">\n<li style=\"outline: 0px;font-size: 14px;font-weight: bold;\">\n<section style=\"margin-bottom: 5px;outline: 0px;line-height: 2em;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247595983&amp;idx=2&amp;sn=487affc866a6c20c9ea5f372e37202a3&amp;chksm=e8962d42dfe1a454e4908f9c895719748f3410835fbf9e28cb5fe4e697fd37979bce52657e7b&amp;scene=21#wechat_redirect\" textvalue=\"\u96c6\u7fa4\u673a\u5668\u4eba\u7684\u5e94\u7528\u6709\u54ea\u4e9b\uff1f | \u96c6\u667a\u767e\u79d1\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" style=\"text-decoration: underline;\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u96c6\u7fa4\u673a\u5668\u4eba\u7684\u5e94\u7528\u6709\u54ea\u4e9b\uff1f| \u96c6\u667a\u767e\u79d1<\/a><br style=\"outline: 0px;\"  \/><\/section>\n<\/li>\n<li style=\"outline: 0px;font-size: 14px;font-weight: bold;\">\n<section style=\"margin-bottom: 5px;outline: 0px;line-height: 2em;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247594995&amp;idx=3&amp;sn=01dfb6103d070548f9f64a4d9733427e&amp;chksm=e896297edfe1a0687caafdcef416b8ed3ee3f9336ac47a6c0efccb68d5dd7a4c329f15de6b55&amp;scene=21#wechat_redirect\" textvalue=\"\u4ec0\u4e48\u662f\u4e34\u754c\u70b9 | \u96c6\u667a\u767e\u79d1\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" wah-hotarea=\"click\" hasload=\"1\" style=\"outline: 0px;text-decoration: underline;-webkit-tap-highlight-color: rgba(0, 0, 0, 0);cursor: pointer;\" rel=\"noopener noreferrer\">\u4ec0\u4e48\u662f\u4e34\u754c\u70b9 | \u96c6\u667a\u767e\u79d1<\/a><br style=\"outline: 0px;\"  \/><\/section>\n<\/li>\n<li style=\"outline: 0px;font-size: 14px;font-weight: bold;\">\n<section style=\"margin-bottom: 5px;outline: 0px;line-height: 2em;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247592659&amp;idx=4&amp;sn=6fe9cbce4abf3afa5662ce5c23df5de2&amp;chksm=e896305edfe1b948c84d9c9ea322b9040a5a7a1dabdfdab87d4f13155ea9e09d8f259545b618&amp;scene=21#wechat_redirect\" textvalue=\"\u4ec0\u4e48\u662f\u8499\u7279\u5361\u7f57\u6a21\u62df | \u96c6\u667a\u767e\u79d1\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" wah-hotarea=\"click\" hasload=\"1\" style=\"outline: 0px;text-decoration: underline;-webkit-tap-highlight-color: rgba(0, 0, 0, 0);cursor: pointer;\" rel=\"noopener noreferrer\"><span style=\"display: none;line-height: 0px;\">\u200d<\/span>\u4ec0\u4e48\u662f\u8499\u7279\u5361\u7f57\u6a21\u62df | \u96c6\u667a\u767e\u79d1<span style=\"display: none;line-height: 0px;\">\u200d<\/span><\/a><br style=\"outline: 0px;\"  \/><\/section>\n<\/li>\n<li style=\"outline: 0px;font-size: 14px;font-weight: bold;\">\n<section style=\"margin-bottom: 5px;outline: 0px;line-height: 2em;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247595536&amp;idx=3&amp;sn=7bf7aca8587885e979dc6f337a9511be&amp;chksm=e8962c9ddfe1a58b33ac9e03acdabb0e767a17371c17a7d09f8490be10ec27957935a1fdb4fd&amp;scene=21#wechat_redirect\" textvalue=\"\u4ec0\u4e48\u662f\u6591\u56fe\u751f\u6210 | \u96c6\u667a\u767e\u79d1\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" wah-hotarea=\"click\" style=\"outline: 0px;text-decoration: underline;-webkit-tap-highlight-color: rgba(0, 0, 0, 0);cursor: pointer;\" rel=\"noopener noreferrer\">\u4ec0\u4e48\u662f\u6591\u56fe\u751f\u6210 | \u96c6\u667a\u767e\u79d1<\/a><br style=\"outline: 0px;\"  \/><\/section>\n<\/li>\n<li style=\"outline: 0px;font-size: 14px;font-weight: bold;\">\n<section style=\"margin-bottom: 5px;outline: 0px;line-height: 2em;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247576923&amp;idx=2&amp;sn=57f0d320812c01ff6f5ea97c09fc9623&amp;chksm=e896f7d6dfe17ec038e8d238dae313119fca8c62aabd4730896bc99398db981dd5d9d3e0b927&amp;scene=21#wechat_redirect\" textvalue=\"\u300a\u5f20\u6c5f\u00b7\u590d\u6742\u79d1\u5b66\u524d\u6cbf27\u8bb2\u300b\u5b8c\u6574\u4e0a\u7ebf\uff01\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" wah-hotarea=\"click\" hasload=\"1\" style=\"outline: 0px;text-decoration: underline;-webkit-tap-highlight-color: rgba(0, 0, 0, 0);cursor: pointer;\" rel=\"noopener noreferrer\">\u300a\u5f20\u6c5f\u00b7\u590d\u6742\u79d1\u5b66\u524d\u6cbf27\u8bb2\u300b\u5b8c\u6574\u4e0a\u7ebf\uff01<\/a><\/section>\n<\/li>\n<li style=\"outline: 0px;font-size: 14px;font-weight: bold;\">\n<section style=\"margin-bottom: 5px;outline: 0px;line-height: 2em;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247555842&amp;idx=1&amp;sn=383e07df94e429aa66628a22471b37dc&amp;chksm=e897418fdfe0c899169c672f35d92217a17a558ea929f85aef402b1ec074ed2e1176472a3cc7&amp;scene=21#wechat_redirect\" textvalue=\"\u6210\u4e3a\u96c6\u667aVIP\uff0c\u89e3\u9501\u5168\u7ad9\u8bfe\u7a0b\uff0f\u8bfb\u4e66\u4f1a\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" wah-hotarea=\"click\" style=\"outline: 0px;text-decoration: underline;-webkit-tap-highlight-color: rgba(0, 0, 0, 0);cursor: pointer;\" rel=\"noopener noreferrer\">\u6210\u4e3a\u96c6\u667aVIP\uff0c\u89e3\u9501\u5168\u7ad9\u8bfe\u7a0b\uff0f\u8bfb\u4e66\u4f1a<\/a><br style=\"outline: 0px;\"  \/><\/section>\n<\/li>\n<li style=\"outline: 0px;font-size: 14px;font-weight: bold;\">\n<p style=\"outline: 0px;line-height: 2em;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247561270&amp;idx=1&amp;sn=e4d4454ba314931b5121332a0501280d&amp;chksm=e896aabbdfe123ad0014213b46a472704c4fd2f6c3a90f77b038353d12d41fc400474acbf193&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" wah-hotarea=\"click\" hasload=\"1\" style=\"outline: 0px;text-decoration: underline;-webkit-tap-highlight-color: rgba(0, 0, 0, 0);cursor: pointer;\" rel=\"noopener noreferrer\">\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/a><\/p>\n<\/li>\n<\/ul>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><br style=\"outline: 0px;\"  \/><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><br style=\"outline: 0px;\"  \/><\/p>\n<p style=\"outline: 0px;font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 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