{"id":56723,"date":"2025-02-17T22:21:31","date_gmt":"2025-02-17T14:21:31","guid":{"rendered":"https:\/\/swarma.org\/?p=56723"},"modified":"2025-02-17T22:21:31","modified_gmt":"2025-02-17T14:21:31","slug":"%e6%95%b0%e6%8d%ae%e9%a9%b1%e5%8a%a8%e7%9a%84%e8%87%aa%e7%9b%b8%e4%bc%bc%e6%80%a7%e5%8f%91%e7%8e%b0%ef%bc%9a%e8%a7%a3%e9%94%81%e5%a4%8d%e6%9d%82%e7%89%a9%e7%90%86%e7%8e%b0%e8%b1%a1%e4%b8%ad%e7%9a%84","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=56723","title":{"rendered":"\u6570\u636e\u9a71\u52a8\u7684\u81ea\u76f8\u4f3c\u6027\u53d1\u73b0\uff1a\u89e3\u9501\u590d\u6742\u7269\u7406\u73b0\u8c61\u4e2d\u7684\u6807\u5ea6\u5f8b"},"content":{"rendered":"<div class='wxsyncmain'>\n<section data-mpa-powered-by=\"yiban.io\">\n<section>\n<section>\n<section>\n<section data-mpa-powered-by=\"yiban.io\" style=\"margin-bottom: 0px;letter-spacing: 0.544px;font-family: PingFangSC-light;font-size: 15px\">\n<section style=\"width: 661px;vertical-align: top\">\n<section>\n<p style=\"text-align: center\"><img class=\"rich_pages wxw-img\" data-backh=\"434\" data-backw=\"578\" data-cropselx1=\"0\" data-cropselx2=\"578\" data-cropsely1=\"0\" data-cropsely2=\"531\" data-galleryid=\"85355299518586880\" data-gallerysupplier=\"4\" data-imgfileid=\"100225009\" data-ratio=\"0.75\" data-s=\"300,640\" data-type=\"jpeg\" data-w=\"1080\" style=\"width: 100%;height: auto\" src=\"\/wp-content\/uploads\/2025\/03\/wxsync-2025-03-c4799f2503e0120ec52052ff9b58f040.jpeg\" \/><\/p>\n<\/section>\n<section style=\"margin-top: 10px;letter-spacing: 0.544px\">\n<section style=\"width: 661px\">\n<section style=\"padding-right: 3px;float: left;line-height: 1\">\n<section style=\"text-align: left\">\n<section style=\"padding-left: 10px;width: auto;vertical-align: top;min-width: 10%;height: auto;line-height: 0\">\n<section>\n<section style=\"width: 25px;height: 10px;vertical-align: top;overflow: hidden;line-height: 0;border-style: solid solid none;border-width: 3px 3px 2px;border-radius: 0px\"><\/section>\n<\/section>\n<section>\n<section style=\"text-align: justify;font-size: 16px;line-height: 1.5\">\n<p><strong>\u5bfc\u8bed<\/strong><\/p>\n<\/section>\n<\/section>\n<section>\n<section style=\"width: 24px;height: 10px;vertical-align: top;overflow: hidden;line-height: 0;border-style: solid solid none;border-width: 3px 3px 2px;border-radius: 0px\"><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 4px;padding-left: 4px;clear: right;min-height: 4.5em !important\">\n<section style=\"margin-top: 5px;margin-bottom: 5px\">\n<section style=\"padding-right: 8px;padding-left: 8px;font-size: 13px;line-height: 2;letter-spacing: 0.544px\">\n<p style=\"clear: none;line-height: 2em\"><strong style=\"text-indent: 0em;letter-spacing: 0.544px;font-size: 15px\"><span style=\"font-size: 13px;letter-spacing: 0.544px\">\u81ea\u76f8\u4f3c\u6027\u63ed\u793a\u4e86\u590d\u6742\u7cfb\u7edf\u8de8\u5c3a\u5ea6\u7684\u7ed3\u6784\u89c4\u5f8b\uff0c\u4f46\u4f20\u7edf\u65b9\u6cd5\u4f9d\u8d56\u7406\u8bba\u5047\u8bbe\u4e14\u53ef\u80fd\u56e0\u4e3a\u5047\u5b9a\u7684\u6a21\u578b\u5f15\u5165\u663e\u8457\u7684\u504f\u5dee\u3002\u8fd1\u671f\u53d1\u8868\u5728<em>Physical Review E<\/em>\u7684\u4e00\u7bc7\u7814\u7a76\u63d0\u51fa\u57fa\u4e8e\u795e\u7ecf\u7f51\u7edc\u7684\u6570\u636e\u9a71\u52a8\u65b9\u6cd5\uff0c\u76f4\u63a5\u4ece\u5b9e\u9a8c\u6570\u636e\u4e2d\u63d0\u53d6\u81ea\u76f8\u4f3c\u53c2\u6570\u7684\u5e42\u5f8b\u5173\u7cfb\uff0c\u4e3a\u7406\u89e3\u590d\u6742\u73b0\u8c61\u7684\u81ea\u76f8\u4f3c\u6027\u7ed3\u6784\u63d0\u4f9b\u4e86\u4e00\u79cd\u5168\u65b0\u7684\u601d\u8def\u3002<\/span><\/strong><\/p>\n<p style=\"clear: none;line-height: 2em\"><strong style=\"text-indent: 0em;letter-spacing: 0.544px;font-size: 15px\"><span style=\"font-size: 13px;letter-spacing: 0.544px\"><br \/><\/span><\/strong><\/p>\n<p style=\"clear: none;line-height: 2em\"><strong style=\"text-indent: 0em;letter-spacing: 0.544px;font-size: 15px\"><span style=\"font-size: 13px;letter-spacing: 0.544px\">\u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u5408\u80a5\u5de5\u4e1a\u5927\u5b66\u7269\u7406\u7cfb\u6559\u6388\u674e\u660e\u3001\u540c\u6d4e\u5927\u5b66\u526f\u6559\u6388\u5f20\u6bc5\u8d85\u3001\u5317\u4eac\u5e08\u8303\u5927\u5b66\u7279\u8058\u526f\u7814\u7a76\u5458\u53f2\u8d35\u5143\u4e0e\u5728\u8bfb\u535a\u58eb\u751f\u90b1\u4ef2\u666e\u3001\u5f20\u7ae0\u5171\u540c\u53d1\u8d77<a target=\"_blank\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247707987&amp;idx=1&amp;sn=6c2c2da64c8b06004edeb02568a05804&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u300c\u590d\u6742\u7f51\u7edc\u52a8\u529b\u5b66\u300d\u8bfb\u4e66\u4f1a<\/a>\u3002\u672c\u6b21\u8bfb\u4e66\u4f1a\u5c06\u63a2\u8ba8\uff1a\u540c\u6b65\u76f8\u53d8\u7684\u4e34\u754c\u6027\u3001\u5982\u4f55\u666e\u9002\u5730\u523b\u753b\u591a\u7a33\u6001\u4e0e\u4e34\u754c\u70b9\u3001\u5982\u4f55\u8bc6\u522b\u5e76\u9884\u6d4b\u4e34\u754c\u8f6c\u53d8\u3001\u5982\u4f55\u901a\u8fc7\u5c40\u90e8\u5e72\u9884\u6765\u8c03\u63a7\u7cfb\u7edf\u4fdd\u6301\u6216\u56de\u5230\u671f\u671b\u7a33\u6001\u3001\u7206\u70b8\u903e\u6e17\u4e34\u754c\u884c\u4e3a\u7684\u5173\u952e\u7279\u5f81\u3001\u4e0d\u540c\u7c7b\u578b\u7684\u7ea7\u8054\u8fc7\u7a0b\u5bf9\u903e\u6e17\u76f8\u53d8\u7684\u5f71\u54cd\u6709\u4f55\u5f02\u540c\u3001\u9ad8\u9636\u76f8\u4e92\u4f5c\u7528\u7684\u5f71\u54cd\u80fd\u5426\u7b49\u6548\u4e3a\u82e5\u5e72\u7b80\u5355\u673a\u5236\u7684\u53e0\u52a0\u3001\u5982\u4f55\u6709\u6548\u5730\u4fc3\u8fdb\u4eba\u7c7b\u4e2a\u4f53\u95f4\u7684\u5408\u4f5c\u7b49\u95ee\u9898\u3002\u8bfb\u4e66\u4f1a\u8ba1\u5212\u4ece3\u67087\u65e5\u5f00\u59cb\uff0c\u6bcf\u5468\u4e94\u665a19:30-21:30\u8fdb\u884c\uff0c\u6301\u7eed8-10\u5468\u3002\u8bda\u631a\u9080\u8bf7\u9886\u57df\u5185\u7814\u7a76\u8005\u3001\u5bfb\u6c42\u8de8\u9886\u57df\u878d\u5408\u7684\u7814\u7a76\u8005\u52a0\u5165\uff0c\u5171\u540c\u63a2\u8ba8\u3002<\/span><\/strong><\/p>\n<\/section>\n<section style=\"padding-right: 8px;padding-left: 8px;font-size: 13px;line-height: 2;letter-spacing: 0.544px\">\n<p style=\"clear: none;line-height: 2em\"><\/p>\n<\/section>\n<section style=\"padding-right: 8px;padding-left: 8px;font-size: 13px;line-height: 2;letter-spacing: 0.544px\"><strong style=\"letter-spacing: 0.544px\"><strong style=\"letter-spacing: 0.544px\"><strong style=\"letter-spacing: 0.544px\"><span style=\"letter-spacing: 0.544px\"><strong style=\"text-align: start\">\u7814\u7a76\u9886\u57df\uff1a\u590d\u6742\u7cfb\u7edf\u3001\u81ea\u76f8\u4f3c\u6027\u3001\u7b2c\u4e8c\u7c7b\u81ea\u76f8\u4f3c\u6027\u3001\u6570\u636e\u9a71\u52a8\u65b9\u6cd5\u3001\u795e\u7ecf\u7f51\u7edc\u3001\u91cf\u7eb2\u5206\u6790\u3001\u6570\u636e\u5d29\u584c\u3001\u5c3a\u5ea6\u53d8\u6362\u5bf9\u79f0\u6027<\/strong><\/span><\/strong><\/strong><\/strong><\/section>\n<\/section>\n<section style=\"margin-top: 5px;margin-bottom: 5px\">\n<section style=\"padding-right: 8px;padding-left: 8px;font-size: 13px;line-height: 2;letter-spacing: 0.544px\"><strong style=\"letter-spacing: 0.544px\"><strong style=\"letter-spacing: 0.544px\"><strong style=\"letter-spacing: 0.544px\"><\/strong><\/strong><\/strong><\/section>\n<\/section>\n<section style=\"margin-top: 5px;margin-bottom: 5px\">\n<section style=\"padding-right: 8px;padding-left: 8px;font-size: 13px;line-height: 2;letter-spacing: 0.544px\"><strong style=\"letter-spacing: 0.544px\"><strong style=\"letter-spacing: 0.544px\"><\/strong><\/strong><\/section>\n<section style=\"padding-right: 8px;padding-left: 8px;font-size: 13px;line-height: 2;letter-spacing: 0.544px\"><strong style=\"letter-spacing: 0.544px\"><strong style=\"letter-spacing: 0.544px\"><\/strong><\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"margin-top: 10px\">\n<section style=\"width: 661px\">\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;font-family: PingFangSC-light;font-size: 15px;text-align: center\">\n<section style=\"vertical-align: middle;line-height: 0\"><img class=\"rich_pages wxw-img\" data-fileid=\"100098753\" data-imgfileid=\"100224418\" data-ratio=\"0.07314814814814814\" data-type=\"png\" data-w=\"1080\" style=\"vertical-align: middle;width: 677px !important\" src=\"\" \/><\/section>\n<\/section>\n<p style=\"margin-bottom: 0px;, Arial, sans-serif;letter-spacing: 0.544px;text-align: right\"><span style=\"font-size: 13px;letter-spacing: 0.544px\"><span style=\"letter-spacing: 0.544px\">Ryota Watanabe<\/span><span style=\"letter-spacing: 0.544px\">,&nbsp;<\/span><span style=\"letter-spacing: 0.544px\">Takanori Ishii<\/span><span style=\"letter-spacing: 0.544px\">,&nbsp;<\/span><span style=\"letter-spacing: 0.544px\">Yuji Hirono<\/span><span style=\"letter-spacing: 0.544px\">,&nbsp;<\/span><span style=\"letter-spacing: 0.544px\">Hirokazu Maruoka<\/span><\/span><span style=\"font-family: PingFangSC-light;letter-spacing: 0.544px;font-size: 16px;font-weight: bold\">&nbsp;<\/span><span style=\"font-family: PingFangSC-light;letter-spacing: 0.544px;font-size: 13px;font-weight: bold\">| \u4f5c\u8005<\/span><\/p>\n<p style=\"margin-bottom: 0px;, Arial, sans-serif;letter-spacing: 0.544px;text-align: right\"><span style=\"font-size: 13px;letter-spacing: 0.544px\">\u7ba1\u7ecd\u534e<\/span><span style=\"letter-spacing: 0.544px;font-family: PingFangSC-light;font-size: 13px;font-weight: bold\"><span style=\"letter-spacing: 0.544px;font-size: 16px\">&nbsp;<\/span><span style=\"letter-spacing: 0.544px\">|&nbsp;\u8bd1\u8005<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;, Arial, sans-serif;letter-spacing: 0.544px;text-align: right\"><span style=\"font-size: 13px;letter-spacing: 0.544px\">\u5434\u6cf0\u9716<\/span><span style=\"font-family: PingFangSC-light;letter-spacing: 0.544px;font-size: 16px;font-weight: bold\">&nbsp;<\/span><span style=\"font-family: PingFangSC-light;letter-spacing: 0.544px;font-size: 13px;font-weight: bold\">| \u5ba1\u6821<\/span><\/p>\n<p style=\"margin-bottom: 0px;, Arial, sans-serif;letter-spacing: 0.544px;text-align: right\"><span style=\", Arial, sans-serif;letter-spacing: 0.034em;text-align: justify;font-size: 15px\">&nbsp;<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<p style=\"text-align: center;margin-bottom: 0px;margin-left: 8px;margin-right: 8px\"><img class=\"rich_pages wxw-img\" data-cropselx1=\"0\" data-cropselx2=\"562\" data-cropsely1=\"0\" data-cropsely2=\"336\" data-galleryid=\"\" data-imgfileid=\"100224955\" data-ratio=\"0.6430062630480167\" data-s=\"300,640\" data-type=\"png\" data-w=\"958\" style=\"width: 562px;height: 361px\" src=\"\/wp-content\/uploads\/2025\/03\/wxsync-2025-03-8f48bbbd543d253ca27020f1e0ea3632.jpg\" \/><\/p>\n<blockquote data-type=\"quote_container\">\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 15px;letter-spacing: 0.578px;text-align: left\">\u8bba\u6587\u9898\u76ee\uff1a<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 15px;letter-spacing: 0.578px;text-align: left\">Data-driven discovery of self-similarity using neural networks<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;text-align: left\"><span style=\"letter-spacing: 0.578px;, Arial, sans-serif\">\u8bba\u6587\u5730\u5740\uff1a<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;text-align: left\"><span style=\"letter-spacing: 0.578px;, Arial, sans-serif\">https:\/\/journals.aps.org\/pre\/abstract\/10.1103\/PhysRevE.111.024301<\/span><\/section>\n<\/blockquote>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\">\u6211\u4eec\u751f\u6d3b\u7684\u4e16\u754c\u5145\u6ee1\u4e86\u590d\u6742\u7684\u7269\u7406\u73b0\u8c61\uff0c\u4f46\u5176\u4e2d\u5374\u9690\u85cf\u7740\u4e00\u79cd\u60ca\u4eba\u7684\u79e9\u5e8f\u2014\u2014\u81ea\u76f8\u4f3c\u6027<\/span><span style=\"font-size: 15px\">\uff08Self-Similarity\uff09<\/span><span style=\"font-size: 15px\">\u3002\u5b83\u610f\u5473\u7740\u67d0\u4e9b\u7269\u7406\u7cfb\u7edf\u5728\u4e0d\u540c\u5c3a\u5ea6\u4e0b\u4f9d\u7136\u4fdd\u6301\u76f8\u4f3c\u7684\u7ed3\u6784\uff0c\u6bd4\u5982\u6d77\u5cb8\u7ebf\u7684\u5f62\u72b6\u3001\u6e4d\u6d41\u4e2d\u7684\u65cb\u6da1\uff0c\u751a\u81f3\u661f\u7cfb\u7684\u5206\u5e03\u3002\u7406\u89e3\u81ea\u76f8\u4f3c\u6027\u4e0d\u4ec5\u80fd\u591f\u5e2e\u52a9\u6211\u4eec\u63ed\u793a\u7269\u7406\u89c4\u5f8b\uff0c\u8fd8\u80fd\u7528\u4e8e\u9884\u6d4b\u590d\u6742\u7cfb\u7edf\u7684\u6f14\u5316\u3002\u7136\u800c\uff0c\u5982\u4f55\u6709\u6548\u5730\u53d1\u73b0\u8fd9\u4e9b\u81ea\u76f8\u4f3c\u89c4\u5f8b\uff0c\u4e00\u76f4\u662f\u79d1\u5b66\u5bb6\u9762\u4e34\u7684\u91cd\u8981\u6311\u6218\u3002<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: center\"><img class=\"rich_pages wxw-img\" data-height=\"225\" data-imgfileid=\"100225001\" data-ratio=\"0.5625\" data-type=\"gif\" data-w=\"400\" data-width=\"400\" src=\"\/wp-content\/uploads\/2025\/03\/wxsync-2025-03-a2f63ae628bfb0648fbce723d826937e.gif\" \/><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: center\"><span style=\"font-size: 13px\">\u6765\u6e90\uff1aquantamagazine | \u66fc\u5fb7\u5e03\u7f57\u7279\u96c6<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\">\u6765\u81ea\u4eac\u90fd\u5927\u5b66\u7b49\u5355\u4f4d\u7684\u7814\u7a76\u4eba\u5458\u63d0\u51fa\u4e86\u4e00\u79cd\u57fa\u4e8e\u795e\u7ecf\u7f51\u7edc\u7684\u6570\u636e\u9a71\u52a8\u65b9\u6cd5\uff0c\u80fd\u591f\u76f4\u63a5\u4ece\u5b9e\u9a8c\u6216\u6a21\u62df\u6570\u636e\u4e2d\u81ea\u52a8\u53d1\u73b0\u9690\u85cf\u7684\u81ea\u76f8\u4f3c\u6027\uff0c\u800c\u65e0\u9700\u4f9d\u8d56\u4f20\u7edf\u7684\u6570\u5b66\u63a8\u5bfc\u3002\u4ed6\u4eec\u7684\u7814\u7a76\u8868\u660e\uff0c\u53ef\u4ee5\u7528\u795e\u7ecf\u7f51\u7edc\u62df\u5408\u81ea\u76f8\u4f3c\u65b9\u7a0b\u4e2d\u7684\u51fd\u6570\u5173\u7cfb\uff0c\u5e76\u901a\u8fc7\u7f51\u7edc\u5c42\u6570\u4e0e\u8282\u70b9\u7684\u8bbe\u7f6e\u63a8\u65ad\u81ea\u76f8\u4f3c\u53c2\u6570\u7684\u5e42\u5f8b\u5f62\u5f0f\u3002\u7814\u7a76\u4e2d\u4ee5\u521a\u6027\u7403\u649e\u51fb\u7c98\u5f39\u6027\u677f\u7684\u5b9e\u9a8c\u4e3a\u4f8b\uff0c\u795e\u7ecf\u7f51\u7edc\u4ece\u6570\u636e\u4e2d\u63d0\u53d6\u51fa\u4e86\u7cfb\u7edf\u7684\u81ea\u76f8\u4f3c\u53c2\u6570\u548c\u81ea\u76f8\u4f3c\u5173\u7cfb\uff0c\u8fd9\u4e0d\u4ec5\u9a8c\u8bc1\u4e86AI for Science\u7684\u6f5c\u529b\uff0c\u4e5f\u4e3a\u63a2\u7d22\u590d\u6742\u7cfb\u7edf\u7684\u81ea\u76f8\u4f3c\u6027\u63d0\u4f9b\u4e86\u4e00\u79cd\u5168\u65b0\u7684\u5de5\u5177\u3002<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\">\u4f46\u8981\u771f\u6b63\u7406\u89e3\u8fd9\u79cd\u7a81\u7834\u7684\u610f\u4e49\uff0c\u6211\u4eec\u9700\u8981\u56de\u5230\u81ea\u76f8\u4f3c\u6027\u7814\u7a76\u7684\u7406\u8bba\u539f\u70b9\u3002<strong>\u81ea\u76f8\u4f3c\u6027\uff08Self-Similarity\uff09<\/strong>\u662f\u7269\u7406\u5b66\u548c\u590d\u6742\u7cfb\u7edf\u7814\u7a76\u4e2d\u7684\u91cd\u8981\u6982\u5ff5\uff0c\u610f\u5473\u7740\u7269\u7406\u7cfb\u7edf\u7684\u67d0\u4e9b\u5c5e\u6027\u5728\u5c3a\u5ea6\u53d8\u6362\u4e0b\u4fdd\u6301\u4e0d\u53d8\uff0c\u63ed\u793a\u4e86\u4e0d\u540c\u5c3a\u5ea6\u4e4b\u95f4\u7684\u666e\u9002\u6027[1]\u3002\u81ea\u76f8\u4f3c\u6027\u65b9\u7a0b\u53ef\u4ee5\u8868\u793a\u4e3a<\/span><span style=\", Arial, sans-serif;letter-spacing: 0.034em\"><\/span><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<section style=\"text-align: center;margin-left: 8px;margin-right: 8px;margin-bottom: 0px\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-imgfileid=\"100224956\" data-ratio=\"0.45703125\" data-s=\"300,640\" data-type=\"png\" data-w=\"512\" style=\"width: 78px;height: 36px\" src=\"\/wp-content\/uploads\/2025\/03\/wxsync-2025-03-b1d97e66e94da9e2cc010009364e3a3e.png\" \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\">\u5176\u4e2dx, y\u548ct\u662f\u7269\u7406\u53c2\u6570\uff0c\u6807\u5ea6\u51fd\u6570f\u63cf\u8ff0\u4e24\u7c7b\u81ea\u76f8\u4f3c\u53c2\u6570\u7684\u7ea6\u675f\u5173\u7cfb\u3002\u81ea\u76f8\u4f3c\u6027\u610f\u5473\u7740\u5f53\u53d1\u751f\u5c3a\u5ea6\u53d8\u6362\uff08t\u2192At,x<span style=\"letter-spacing: 0.578px\">\u2192<\/span>A<sup>p<\/sup>x, y<span style=\"letter-spacing: 0.578px\">\u2192<\/span>A<sup>q<\/sup>y\uff09\u65f6\uff0c\u4e24\u4fa7\u7684\u81ea\u76f8\u4f3c\u53c2\u6570\u4e0d\u53d8\uff0c\u4e0a\u8ff0\u65b9\u7a0b\u4f9d\u7136\u6210\u7acb\uff0c\u5373\u7269\u7406\u91cf\u4e4b\u95f4\u5b58\u5728\u67d0\u79cd\u5c3a\u5ea6\u53d8\u6362\u4e0b\u7684\u4e0d\u53d8\u6027\uff0c\u56e0\u6b64\u4e0d\u540c\u5c3a\u5ea6\u7684\u6570\u636e\u70b9\u53ef\u4ee5\u901a\u8fc7\u6784\u5efa\u81ea\u76f8\u4f3c\u53c2\u6570\u805a\u96c6\u5230\u4e00\u4e2a\u4f4e\u7ef4\u6d41\u5f62\u4e0a\uff0c\u610f\u5473\u7740\u5b58\u5728\u6570\u636e\u5d29\u584c<\/span><span style=\"font-size: 15px\">\uff08<em>data collapse<\/em>\uff09<\/span><span style=\"font-size: 15px\">\uff0c\u8fd9\u662f\u81ea\u76f8\u4f3c\u6027\u7684\u4e00\u79cd\u5178\u578b\u6570\u636e\u7279\u5f81\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\">\u53d1\u73b0\u7cfb\u7edf\u81ea\u76f8\u4f3c\u7ed3\u6784\u7684\u5173\u952e\u662f\u4ece\u5b9e\u9a8c\u548c\u6a21\u62df\u6570\u636e\u4e2d\u786e\u5b9a\u81ea\u76f8\u4f3c\u53c2\u6570\u3002\u4f20\u7edf\u4e0a\uff0c\u53ef\u4ee5\u901a\u8fc7<strong>\u91cf\u7eb2\u5206\u6790\uff08dimensional analysis\uff09\u6765\u5bfb\u627e\u81ea\u76f8\u4f3c\u6027\uff0c\u8fd9\u79cd\u65b9\u6cd5\u53ef\u4ee5\u63a8\u5bfc\u7b2c\u4e00\u7c7b\u81ea\u76f8\u4f3c\u89e3\uff08self-similarity of the first kind\uff09<\/strong>\uff0c\u5373\u4ec5\u901a\u8fc7\u7269\u7406\u91cf\u7684\u5355\u4f4d\u5173\u7cfb\u6765\u786e\u5b9a\u81ea\u76f8\u4f3c\u53c2\u6570\u3002\u7136\u800c\uff0c\u8bb8\u591a\u7cfb\u7edf\u7684\u81ea\u76f8\u4f3c\u6027\u65e0\u6cd5\u4ec5\u901a\u8fc7\u91cf\u7eb2\u5206\u6790\u786e\u5b9a\uff0c\u8fd9\u7c7b\u975e\u5e73\u5eb8\u7684\u95ee\u9898\u88ab\u79f0\u4e3a<strong>\u7b2c\u4e8c\u7c7b\u81ea\u76f8\u4f3c\u6027\uff08self-similarity of the second kind\uff09<\/strong>[2,3]\u3002\u8bc6\u522b\u975e\u5e73\u5eb8\u7684\u81ea\u76f8\u4f3c\u6027\u7b49\u4ef7\u4e8e\u53d1\u73b0\u6240\u7814\u7a76\u73b0\u8c61\u4e2d\u56fa\u6709\u7684\u5c3a\u5ea6\u53d8\u6362\u5bf9\u79f0\u6027\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\">\u76ee\u524d\u5173\u4e8e\u7b2c\u4e8c\u7c7b\u81ea\u76f8\u4f3c\u6027\u7684\u7814\u7a76\u65b9\u6cd5\u5305\u62ec\u975e\u7ebf\u6027\u7279\u5f81\u503c\u65b9\u6cd5[2,3]\u3001\u91cd\u6574\u5316\u65b9\u6cd5[4]\u7b49\u3002\u7136\u800c\uff0c\u8fd9\u4e9b\u65b9\u6cd5\u5f80\u5f80\u4f9d\u8d56\u4e8e\u5bf9\u6240\u6d89\u53ca\u7269\u7406\u5b9a\u5f8b\u7684\u9884\u5148\u8ba4\u8bc6\uff0c\u8fd9\u53ef\u80fd\u4f1a\u56e0\u5047\u5b9a\u7684\u6a21\u578b\u800c\u5f15\u5165\u663e\u8457\u504f\u5dee\u3002\u56e0\u6b64\uff0c\u9700\u8981\u4e00\u79cd\u66f4\u4e3a\u7a33\u5065\u7684\u65b9\u6cd5\uff0c\u80fd\u591f\u76f4\u63a5\u4ece\u6570\u636e\u4e2d\u53d1\u73b0\u81ea\u76f8\u4f3c\u6027\uff0c\u800c\u4e0d\u4f9d\u8d56\u4e8e\u9884\u5b9a\u4e49\u7684\u6a21\u578b\u3002\u8fd1\u671f\u53d1\u8868\u4e8e<em>Physical Review E&nbsp;<\/em>\u7684\u8fd9\u9879\u7814\u7a76[5]\uff0c\u63d0\u51fa\u4e86\u4e00\u79cd\u57fa\u4e8e\u795e\u7ecf\u7f51\u7edc\u7684\u6a21\u578b\u65e0\u5173\u65b9\u6cd5\uff0c\u76f4\u63a5\u4ece\u6570\u636e\u4e2d\u6316\u6398\u81ea\u76f8\u4f3c\u7ed3\u6784\u3002\u8fd9\u79cd\u65e0\u6a21\u578b\u4f9d\u8d56\u7684\u6570\u636e\u9a71\u52a8\u65b9\u6cd5\u4e0d\u4ec5\u80fd\u591f\u53d1\u73b0\u7269\u7406\u7cfb\u7edf\u4e2d\u7684\u5c3a\u5ea6\u53d8\u6362\u5bf9\u79f0\u6027\uff0c\u800c\u4e14\u663e\u8457\u7f29\u5c0f\u4e86\u53ef\u80fd\u7684\u7406\u8bba\u6a21\u578b\u8303\u56f4\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><img class=\"rich_pages wxw-img\" data-backh=\"294\" data-backw=\"562\" data-height=\"535\" data-imgfileid=\"100224949\" data-ratio=\"0.5239960822722821\" data-type=\"png\" data-w=\"1021\" data-width=\"1021\" style=\"width: 100%;height: auto\" src=\"\/wp-content\/uploads\/2025\/03\/wxsync-2025-03-edc966a7b681d204890717f155b261f3.png\" \/><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.5em\"><span style=\"font-size: 13px\">\u56fe1. \u81ea\u76f8\u4f3c\u6027\u7684\u5206\u7c7b\u3002\u901a\u8fc7\u91cf\u7eb2\u5206\u6790\u83b7\u5f97\u7684\u81ea\u76f8\u4f3c\u6027\u7ed3\u679c\u88ab\u79f0\u4e3a\u7b2c\u4e00\u7c7b\u81ea\u76f8\u4f3c\u6027\uff0c\u4e0d\u80fd\u901a\u8fc7\u91cf\u7eb2\u5206\u6790\u83b7\u5f97\u7684\u81ea\u76f8\u4f3c\u6027\u7ed3\u679c\u88ab\u79f0\u4e3a\u7b2c\u4e8c\u7c7b\u81ea\u76f8\u4f3c\u6027\u3002\u7b2c\u4e8c\u7c7b\u81ea\u76f8\u4f3c\u6027\u901a\u8fc7\u5224\u65ad\u6307\u6570\u662f\u5426\u4e3a\u5e38\u6570\u5212\u5206\u4e3aType A\u548cType B\u3002\u8bba\u6587\u4e2d\u4e3b\u8981\u5173\u6ce8\u7684\u662f\u6307\u6570\u4e3a\u5e38\u6570\u60c5\u51b5\u4e0b\u7684\u81ea\u76f8\u4f3c\u6027\u95ee\u9898\uff08Type A)\u3002<\/span><span style=\"font-size: 15px\"><\/span><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<h3 style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"letter-spacing: 0.544px;text-align: right;font-size: 13px\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;text-align: center\">\n<section style=\"vertical-align: middle\">\n<section style=\"margin-bottom: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><\/section>\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 1.4\">\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\">1.&nbsp;\u81ea\u76f8\u4f3c\u53c2\u6570\u7684\u5c42\u7ea7\u7ed3\u6784<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;letter-spacing: 0.578px;line-height: 1.75em\"><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\">\u5bf9\u4e8e\u611f\u5174\u8da3\u7684\u7269\u7406\u7cfb\u7edf\uff0c\u6211\u4eec\u901a\u5e38\u7528\u4e00\u7cfb\u5217\u7684\u7269\u7406\u53c2\u6570z\u6765\u63cf\u8ff0\u7cfb\u7edf\u7684\u72b6\u6001\uff0c\u8fd9\u4e9b\u53c2\u6570\u7531\u6570\u503c\u548c\u5355\u4f4d\u7ec4\u6210\uff0c\u4f8b\u5982\u957f\u5ea6\u3001\u8d28\u91cf\u3001\u65f6\u95f4\u7b49\u3002\u800c\u7531\u8fd9\u4e9b\u7269\u7406\u53c2\u6570\u7684\u5e42\u6b21\u7684\u4e58\u79ef\u53ef\u4ee5\u7ec4\u5408\u6210\u4e00\u7cfb\u5217\u7684\u65e0\u91cf\u7eb2\u53c2\u6570<span style=\"font-family: arial, \u5b8b\u4f53, sans-serif;text-align: start;text-indent: 28px;font-size: 15px;letter-spacing: 0.578px\">\u03c0<\/span>\u3002\u76f8\u8f83\u4e8e\u7269\u7406\u53c2\u6570z\uff0c\u65e0\u91cf\u7eb2\u53c2\u6570\u5728\u505a\u5355\u4f4d\u5c3a\u5ea6\u53d8\u6362<\/span><span style=\"font-size: 15px\">\uff08\u5373\u5bf9\u7269\u7406\u91cf\u7684\u5355\u4f4d\u8fdb\u884c\u7f29\u653e\uff09<\/span><span style=\"font-size: 15px\">\u540e\u662f\u4e0d\u53d8\u7684\uff0c\u5176\u5728\u4e0d\u540c\u5355\u4f4d\u5c3a\u5ea6\u4e0b\u5177\u6709\u4e00\u81f4\u6027\uff0c\u56e0\u6b64\u65e0\u91cf\u7eb2\u53c2\u6570\u88ab\u79f0\u4e3a\u7b2c\u4e00\u7c7b\u81ea\u76f8\u4f3c\u53c2\u6570\u3002\u7b2c\u4e00\u7c7b\u81ea\u76f8\u4f3c\u53c2\u6570\u901a\u8fc7\u65e0\u91cf\u7eb2\u5316\u6d88\u9664\u4e86\u5355\u4f4d\u53d8\u6362\u7684\u5f71\u54cd\uff0c\u4ece\u800c\u63d0\u4f9b\u4e86\u4e00\u79cd\u5728\u5355\u4f4d\u5c3a\u5ea6\u53d8\u6362\u4e0b\u4e0d\u53d8\u7684\u63cf\u8ff0\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\">\u800c\u5355\u4f4d\u5c3a\u5ea6\u53d8\u6362\u53ea\u662f\u4e00\u79cd\u7279\u6b8a\u7684\u5c3a\u5ea6\u53d8\u6362\uff0c\u66f4\u5e7f\u6cdb\u7684\u5c3a\u5ea6\u53d8\u6362\u662f\u7531\u4e00\u7ec4\u6570\u503c\u7684\u5e42\u6307\u6570\u4e58\u79ef\u7ec4\u6210<sub><img alt=\"image.png\" class=\"rich_pages wxw-img\" data-imgfileid=\"100224960\" data-ratio=\"0.9438202247191011\" data-type=\"png\" data-w=\"178\" data-width=\"28px\" style=\"vertical-align: baseline;width: 28px\" width=\"28\" src=\"\/wp-content\/uploads\/2025\/03\/wxsync-2025-03-92b83af3632a1130d5b2d51cb7be34b9.png\" \/><\/sub>\uff0c\u65e0\u91cf\u7eb2\u53c2\u6570\u65e0\u6cd5\u5728\u5176\u4ed6\u7684\u5c3a\u5ea6\u53d8\u6362\u4e0b\u4fdd\u6301\u4e0d\u53d8\uff0c\u8fd9\u65f6\u53ef\u4ee5\u5f15\u5165\u65b0\u7684\u53c2\u6570Z\uff0c\u8fd9\u7c7b\u53c2\u6570\u7531\u65e0\u91cf\u7eb2\u53c2\u6570\u7684\u5e42\u6307\u6570\u4e58\u79ef\u7ec4\u6210<sub><img alt=\"image.png\" class=\"rich_pages wxw-img\" data-imgfileid=\"100224961\" data-ratio=\"0.37745098039215685\" data-type=\"png\" data-w=\"408\" data-width=\"66px\" style=\"vertical-align: baseline;width: 66px\" width=\"66\" src=\"\/wp-content\/uploads\/2025\/03\/wxsync-2025-03-a1479dd433a2997b40737e1757da0244.png\" \/><\/sub>\u3002\u5982\u679cZ\u53c2\u6570\u5728\u66f4\u5e7f\u6cdb\u7684\u5c3a\u5ea6\u53d8\u6362\u64cd\u4f5c\u4e0b\u4f9d\u7136\u4fdd\u6301\u4e0d\u53d8\uff0c\u8fd9\u610f\u5473\u7740\u7cfb\u7edf\u5728\u975e\u5e73\u5eb8\u7684\u5c3a\u5ea6\u53d8\u6362\u4e0b\u5177\u6709\u81ea\u76f8\u4f3c\u6027\u3002\u7b2c\u4e8c\u7c7b\u81ea\u76f8\u4f3c\u53c2\u6570Z\u6355\u6349\u4e86\u6bd4\u65e0\u91cf\u7eb2\u53c2\u6570\u66f4\u6df1\u5c42\u6b21\u7684\u5bf9\u79f0\u6027\uff0c\u63d0\u4f9b\u4e86\u4e00\u79cd\u5728\u4e0d\u540c\u5c3a\u5ea6\u4e0b\u63cf\u8ff0\u7269\u7406\u7cfb\u7edf\u7684\u6700\u5c0f\u53c2\u6570\u96c6\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><img class=\"rich_pages wxw-img\" data-height=\"425\" data-imgfileid=\"100224950\" data-ratio=\"0.41789577187807275\" data-type=\"png\" data-w=\"1017\" data-width=\"1017\" src=\"\/wp-content\/uploads\/2025\/03\/wxsync-2025-03-f2c247ea6960c9ed61c0ce5002f1acde.png\" \/><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.5em\"><span style=\"font-size: 13px\">\u56fe2. \u81ea\u76f8\u4f3c\u53c2\u6570\u7684\u5c42\u7ea7\u7ed3\u6784\u3002\u6700\u5e95\u5c42\u4e3a\u7269\u7406\u7cfb\u7edf\u7684\u7269\u7406\u53c2\u6570z\uff0c\u8fd9\u4e9b\u53c2\u6570\u7531\u4e00\u4e2a\u6570\u503c\u548c\u7269\u7406\u5355\u4f4d\u6784\u6210\uff1b\u7b2c\u4e00\u7c7b\u81ea\u76f8\u4f3c\u53c2\u6570<span style=\"font-size: 13px;font-family: arial, \u5b8b\u4f53, sans-serif;letter-spacing: 0.578px;text-align: start;text-indent: 28px\">\u03c0<\/span>\u662f\u7531\u7269\u7406\u53c2\u6570z\u7ec4\u6210\u7684\u65e0\u91cf\u7eb2\u53c2\u6570\uff0c\u5176\u5728\u5355\u4f4d\u5c3a\u5ea6\u53d8\u6362\u65f6\u4fdd\u6301\u4e0d\u53d8\uff1bZ\u662f\u7531<span style=\"font-size: 13px;font-family: arial, \u5b8b\u4f53, sans-serif;letter-spacing: 0.578px;text-align: start;text-indent: 28px\">\u03c0<\/span>\u7ec4\u5408\u800c\u6210\u7684\u7b2c\u4e8c\u7c7b\u81ea\u76f8\u4f3c\u53c2\u6570\uff0c\u5176\u5728\u66f4\u5e7f\u6cdb\u7684\u5c3a\u5ea6\u53d8\u6362\u4e0b\u4fdd\u6301\u4e0d\u53d8\u3002I\u548cII\u5206\u522b\u4ee3\u8868\u72ec\u7acb\u53c2\u6570\u548c\u975e\u72ec\u7acb\u53c2\u6570\u3002<\/span><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><em><br \/><\/em><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\">\u603b\u7684\u6765\u8bf4\uff0c\u7269\u7406\u7cfb\u7edf\u7684\u81ea\u76f8\u4f3c\u53c2\u6570\u53ef\u4ee5\u5f62\u6210\u4e00\u79cd\u5c42\u7ea7\u7ed3\u6784\uff1a\uff081\uff09\u4ece\u5177\u4f53\u7684\u7269\u7406\u53c2\u6570z\u5f00\u59cb\uff0c\u901a\u8fc7\u65e0\u91cf\u7eb2\u5316\u5f97\u5230\u7b2c\u4e00\u7c7b\u81ea\u76f8\u4f3c\u53c2\u6570<span style=\"font-family: arial, \u5b8b\u4f53, sans-serif;font-size: 15px;letter-spacing: 0.578px;text-align: start;text-indent: 28px\">\u03c0<\/span>\uff0c\u6d88\u9664\u5355\u4f4d\u7684\u5f71\u54cd\uff1b\uff082\uff09\u8fdb\u4e00\u6b65\u901a\u8fc7<span style=\"font-family: arial, \u5b8b\u4f53, sans-serif;font-size: 15px;letter-spacing: 0.578px;text-align: start;text-indent: 28px\">\u03c0<\/span>\u7684\u5e42\u6307\u6570\u4e58\u79ef\u7ec4\u5408\u6784\u6210\u7b2c\u4e8c\u7c7b\u81ea\u76f8\u4f3c\u53c2\u6570Z\uff0c\u5728\u66f4\u5e7f\u6cdb\u7684\u5c3a\u5ea6\u53d8\u6362\u4e0b\u4fdd\u6301\u4e0d\u53d8\u3002\u81ea\u76f8\u4f3c\u53c2\u6570\u7684\u5c42\u7ea7\u7ed3\u6784\u5c06\u7269\u7406\u53c2\u6570z\u3001\u7b2c\u4e00\u7c7b\u81ea\u76f8\u4f3c\u53c2\u6570<span style=\"font-family: arial, \u5b8b\u4f53, sans-serif;font-size: 15px;letter-spacing: 0.578px;text-align: start;text-indent: 28px\">\u03c0<\/span>\u548c\u7b2c\u4e8c\u7c7b\u81ea\u76f8\u4f3c\u53c2\u6570Z\u7ec4\u7ec7\u8d77\u6765\uff0c\u6bcf\u4e2a\u5c42\u6b21\u5728\u4e0d\u540c\u7684\u5c3a\u5ea6\u53d8\u6362\u4e0b\u5177\u6709\u4e0d\u53d8\u6027\uff0c\u4ece\u800c\u9010\u6b65\u62bd\u8c61\u548c\u7b80\u5316\u7269\u7406\u7cfb\u7edf\u7684\u5206\u6790\u3002<\/span><\/section>\n<p style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;margin-bottom: 0px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;margin-bottom: 0px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<h3 style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"letter-spacing: 0.544px;text-align: right;font-size: 13px\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;text-align: center\">\n<section style=\"vertical-align: middle\">\n<section style=\"margin-bottom: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><\/section>\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 1.4\">\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\">2.&nbsp;\u795e\u7ecf\u7f51\u7edc\u65b9\u6cd5\u53d1\u73b0\u81ea\u76f8\u4f3c\u6027<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;letter-spacing: 0.578px;line-height: 1.75em\"><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;margin-bottom: 16px\"><span style=\"font-size: 15px\">\u5982\u524d\u6240\u8ff0\uff0c\u7b2c\u4e8c\u7c7b\u81ea\u76f8\u4f3c\u53c2\u6570Z\u5728\u5c3a\u5ea6\u53d8\u6362\u4e0b\u5177\u6709\u4e0d\u53d8\u6027\uff0c\u800cZ\u7684\u5f62\u5f0f\u662f\u7531\u65e0\u91cf\u7eb2\u53c2\u6570\u4ee5\u53ca\u76f8\u5e94\u7684\u5e42\u6307\u6570\u786e\u5b9a\u7684\uff0c\u5176\u4e2d\u65e0\u91cf\u7eb2\u53c2\u6570\u53ef\u4ee5\u8f83\u5bb9\u6613\u7684\u4ece\u91cf\u7eb2\u5206\u6790\u4e2d\u83b7\u5f97\uff0c\u56e0\u6b64\u53d1\u73b0\u81ea\u76f8\u4f3c\u5bf9\u79f0\u6027\u7684\u96be\u70b9\u5c31\u5728\u4e8e\u786e\u5b9a\u65e0\u91cf\u7eb2\u53c2\u6570\u7684\u5e42\u6307\u6570\u3002\u8bba\u6587\u4e2d\u7ed9\u51fa\u4e86\u5982\u4e0b\u7684\u65b9\u6cd5\u6b65\u9aa4\u53bb\u53d1\u73b0\u81ea\u76f8\u4f3c\u53c2\u6570\u7684\u5e42\u6307\u6570\uff1a<\/span><\/p>\n<ul class=\"list-paddingleft-1\" style=\"list-style-type: disc;margin-left: 8px;margin-right: 8px\">\n<li style=\"font-size: 15px\">\n<p style=\"line-height: 1.75em;margin-bottom: 16px\"><span style=\"font-size: 15px\">\u641c\u96c6\u4e0d\u540c\u5c3a\u5ea6\u4e0b\u7684\u6a21\u62df\u6216\u5b9e\u9a8c\u6570\u636e\uff0c\u786e\u5b9a\u4e3b\u5bfc\u7cfb\u7edf\u7684\u7269\u7406\u53c2\u6570z\uff1b<\/span><\/p>\n<\/li>\n<li style=\"font-size: 15px\">\n<p style=\"line-height: 1.75em;margin-bottom: 16px\"><span style=\"font-size: 15px\">\u5e94\u7528\u91cf\u7eb2\u5206\u6790\u65b9\u6cd5\uff0c\u4ece\u7269\u7406\u53c2\u6570\u4e2d\u5f97\u5230\u4e00\u7cfb\u5217\u65e0\u91cf\u7eb2\u53c2\u6570<span style=\"font-family: arial, \u5b8b\u4f53, sans-serif;font-size: 15px;letter-spacing: 0.578px;text-align: start;text-indent: 28px\">\u03c0<\/span>\uff1b<\/span><\/p>\n<\/li>\n<li style=\"font-size: 15px\">\n<p style=\"line-height: 1.75em;margin-bottom: 16px\"><span style=\"font-size: 15px\">\u5047\u8bbe\u7cfb\u7edf\u5b58\u5728\u4e00\u79cd\u975e\u5e73\u5eb8\u5c3a\u5ea6\u53d8\u6362\uff0c\u627e\u5230\u4e00\u79cd\u7406\u60f3\u5316\u533a\u57df\u4e2d\u7684\u6e10\u8fd1\u6807\u5ea6\u5f8b\uff1b<\/span><\/p>\n<\/li>\n<li style=\"font-size: 15px\">\n<p style=\"line-height: 1.75em;margin-bottom: 16px\"><span style=\"font-size: 15px\">\u901a\u8fc7\u6e10\u8fd1\u6807\u5ea6\u5f8b\u5f15\u5165\u4e00\u79cd\u81ea\u76f8\u4f3c\u53c2\u6570<sub><img alt=\"image.png\" class=\"rich_pages wxw-img\" data-imgfileid=\"100224979\" data-ratio=\"0.3763440860215054\" data-type=\"png\" data-w=\"372\" data-width=\"60px\" style=\"vertical-align: baseline;width: 60px\" width=\"60\" src=\"\/wp-content\/uploads\/2025\/03\/wxsync-2025-03-854e9fdd0f2440c26b5736f20699071f.png\" \/><\/sub>\u4f5c\u4e3a\u5df2\u77e5\u53c2\u6570\uff0c\u5176\u53ef\u4ee5\u7531\u6570\u636e\u8ba1\u7b97\u5f97\u5230\uff1b<\/span><\/p>\n<\/li>\n<li style=\"font-size: 15px\">\n<p style=\"line-height: 1.75em;margin-bottom: 16px\"><span style=\"font-size: 15px\">\u5f15\u5165\u672a\u77e5\u81ea\u76f8\u4f3c\u53c2\u6570<sub><img alt=\"image.png\" class=\"rich_pages wxw-img\" data-imgfileid=\"100224980\" data-ratio=\"0.366120218579235\" data-type=\"png\" data-w=\"366\" data-width=\"57px\" style=\"vertical-align: baseline;width: 57px\" width=\"57\" src=\"\/wp-content\/uploads\/2025\/03\/wxsync-2025-03-db2e6b1d20cb350faa94bee11ccfb669.png\" \/><\/sub>\uff0c\u5176\u6ee1\u8db3\u81ea\u76f8\u4f3c\u65b9\u7a0b<sub><img alt=\"image.png\" class=\"rich_pages wxw-img\" data-imgfileid=\"100224981\" data-ratio=\"0.1609907120743034\" data-type=\"png\" data-w=\"646\" data-width=\"127px\" style=\"vertical-align: baseline;width: 102px;height: 20px\" width=\"127\" src=\"\/wp-content\/uploads\/2025\/03\/wxsync-2025-03-f3ba0b4dd5b517dbfaaafa434ac81891.png\" \/><\/sub>\uff1b<\/span><\/p>\n<\/li>\n<li style=\"font-size: 15px\">\n<p style=\"line-height: 1.75em;margin-bottom: 16px\"><span style=\"font-size: 15px\">\u4ee5\u4e0d\u540c\u5c3a\u5ea6\u7684\u6570\u636e\u4f5c\u4e3a\u8bad\u7ec3\u6570\u636e\uff0c\u4ee5\u81ea\u76f8\u4f3c\u53c2\u6570<sub><img alt=\"image.png\" class=\"rich_pages wxw-img\" data-croporisrc=\"https:\/\/mmbiz.qlogo.cn\/mmbiz_png\/wibWV1DB7tWJfQ9w9kzPWlfZXJOr2gslfGlKzduQn9IicySknrYIicpTwcGaYQsPicK7C5vicCYiaKmSqnhrUsc7pgfg\/0?wx_fmt=png&amp;from=appmsg\" data-cropx1=\"0\" data-cropx2=\"208.5511811023622\" data-cropy1=\"0\" data-cropy2=\"101.73228346456695\" data-imgfileid=\"100224983\" data-ratio=\"0.5\" data-type=\"jpeg\" data-w=\"208\" data-width=\"127px\" style=\"vertical-align: baseline;width: 35px;height: 20px\" src=\"\/wp-content\/uploads\/2025\/03\/wxsync-2025-03-7c65f780e135d4319b3b0dc84313a1bb.jpeg\" \/><\/sub>\u4f5c\u4e3a\u6807\u7b7e\uff0c\u8bad\u7ec3\u795e\u7ecf\u7f51\u7edc\uff1b<\/span><\/p>\n<\/li>\n<li style=\"font-size: 15px\">\n<section style=\"line-height: 1.75em\"><span style=\"font-size: 15px\">\u5f52\u4e00\u5316\u795e\u7ecf\u7f51\u7edc\u53c2\u6570\u5f97\u5230\u5e42\u6307\u6570p\uff0c\u8fdb\u800c\u786e\u5b9a\u81ea\u76f8\u4f3c\u53c2\u6570Z(p)\u7684\u5177\u4f53\u6570\u5b66\u5f62\u5f0f\u3002<\/span><\/section>\n<\/li>\n<\/ul>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\">\u4e0a\u8ff0\u65b9\u6cd5\u7684\u5173\u952e\u662f\u5982\u4f55\u5f15\u5165\u795e\u7ecf\u7f51\u7edc\u6765\u4f18\u5316\u6c42\u89e3\u5e42\u6307\u6570p\u3002\u53ef\u4ee5\u9996\u5148\u5c06\u81ea\u76f8\u4f3c\u6027\u65b9\u7a0b\u5199\u4e3a<sub><img alt=\"image.png\" class=\"rich_pages wxw-img\" data-imgfileid=\"100224985\" data-ratio=\"0.2809667673716012\" data-type=\"png\" data-w=\"662\" data-width=\"97px\" style=\"vertical-align: baseline;width: 97px\" width=\"97\" src=\"\/wp-content\/uploads\/2025\/03\/wxsync-2025-03-8f73e8cf85a7867deb36f602a2f98688.png\" \/><\/sub>\uff0c\u5176\u4e2d\u5411\u91cfp\u548cq\u662f\u7ebf\u6027\u65e0\u5173\u7684\u3002\u5c06\u65e0\u91cf\u7eb2\u53c2\u6570\u8fdb\u884c\u5bf9\u6570\u53d8\u6362\u540e\u6709x=ln<span style=\"font-family: arial, \u5b8b\u4f53, sans-serif;font-size: 15px;letter-spacing: 0.578px;text-align: start;text-indent: 28px\">\u03c0<\/span>\uff0c\u81ea\u76f8\u4f3c\u6027\u65b9\u7a0b\u53ef\u4ee5\u8fdb\u4e00\u6b65\u6539\u5199\u4e3aqx&nbsp;=<\/span> <span style=\"font-size: 15px\">\u03a6(p<\/span><span style=\"font-size: 15px\">x)\u3002\u81f3\u6b64\uff0c\u6539\u5199\u7684\u65b9\u7a0b\u5177\u6709\u4e86\u5f88\u597d\u7684\u6570\u5b66\u5f62\u5f0f\uff0c\u8f93\u5165\u662f\u7cfb\u7edf\u7684\u4e00\u7cfb\u5217\u53c2\u6570x\uff0c\u5728\u7ecf\u8fc7p\u5411\u91cf\u7684\u7ebf\u6027\u53d8\u6362\u540e\uff0c\u518d\u901a\u8fc7\u51fd\u6570<span style=\"font-size: 15px;letter-spacing: 0.578px\">\u03a6<\/span>\u5f97\u5230\u53e6\u4e00\u4e2a\u5df2\u77e5\u7684\u81ea\u76f8\u4f3c\u53c2\u6570<span style=\"font-family: arial, \u5b8b\u4f53, sans-serif;text-align: start;text-indent: 28px;font-size: 15px;letter-spacing: 0.578px\">\u03a8<\/span>(q)=qx\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\">\u4e0a\u8ff0\u53d8\u6362\u8fc7\u7a0b\u53ef\u4ee5\u7528\u795e\u7ecf\u7f51\u7edc\u8868\u793a\uff0c\u795e\u7ecf\u7f51\u7edc\u7684\u8f93\u5165\u662f\u53c2\u6570<strong>x<\/strong>\uff0c\u5176\u7ecf\u8fc7\u7b2c\u4e00\u5c42\u6743\u91cdw<sup>(0)<\/sup>\u7684\u53d8\u6362\u540e\u5f97\u5230\u8282\u70b9\uff0c\u6b64\u8282\u70b9\u8868\u793a\u7684\u662f\u81ea\u76f8\u4f3c\u65b9\u7a0b\u4e2d\u7684px\uff0c\u7136\u540e\u901a\u8fc7\u82e5\u5e72\u5c42\u7684\u5168\u8fde\u63a5\u7f51\u7edc\u540e\u5f97\u5230\u4e00\u4e2a\u8f93\u51fa\uff0c\u5168\u8fde\u63a5\u5c42\u795e\u7ecf\u7f51\u7edc\u7684\u4f5c\u7528\u662f\u62df\u5408\u65b9\u7a0b\u4e2d\u7684\u51fd\u6570\u5173\u7cfb<span style=\"font-size: 15px;letter-spacing: 0.578px\">\u03a6<\/span>\uff0c\u56e0\u6b64\u81ea\u76f8\u4f3c\u6027\u65b9\u7a0b\u7684\u795e\u7ecf\u7f51\u7edc\u8868\u793a\u4e3a<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><\/section>\n<p style=\"text-align: center;margin-bottom: 0px;margin-left: 8px;margin-right: 8px\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-imgfileid=\"100224986\" data-ratio=\"0.23055555555555557\" data-s=\"300,640\" data-type=\"png\" data-w=\"1080\" style=\"width: 179px;height: 41px\" src=\"\/wp-content\/uploads\/2025\/03\/wxsync-2025-03-d091adcc10f7be7ba4660fe8502b2fc5.png\" \/><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: center\"><img class=\"rich_pages wxw-img\" data-height=\"516\" data-imgfileid=\"100224951\" data-ratio=\"0.5083743842364532\" data-type=\"png\" data-w=\"1015\" data-width=\"1015\" src=\"\/wp-content\/uploads\/2025\/03\/wxsync-2025-03-2d1b40d5bc089bf20e68c16c07c6d285.png\" \/><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.5em\"><span style=\"font-size: 13px\">\u56fe3. \u5f53\u5c3a\u5ea6\u51fd\u6570\u8f93\u51fa\u4e3a\u4e00\u4e2a\u53c2\u6570\u60c5\u51b5\u4e0b\u7684\u795e\u7ecf\u7f51\u7edc\u7ed3\u6784\u56fe\u3002\u5f53\u8f93\u51fa\u4e3a\u591a\u4e2a\u53c2\u6570\u7684\u60c5\u51b5\u4e0b\uff0c\u9700\u8981\u5728\u7f51\u7edc\u7684\u7b2c\u4e8c\u5c42\u589e\u52a0\u66f4\u591a\u7684\u8282\u70b9\u3002<\/span><span style=\"font-size: 15px\"><\/span><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><em><br \/><\/em><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\">\u795e\u7ecf\u7f51\u7edc\u7684\u8f93\u5165x\u53ef\u4ee5\u901a\u8fc7\u4e0d\u540c\u5c3a\u5ea6\u4e0b\u7684\u6570\u636e\u8ba1\u7b97\u5f97\u5230\uff0c\u8f93\u51fa\u662f\u4e00\u4e2a\u5df2\u77e5\u5177\u4f53\u5f62\u5f0f\u7684\u81ea\u76f8\u4f3c\u53c2\u6570<span style=\"font-size: 15px;letter-spacing: 0.578px;font-family: arial, \u5b8b\u4f53, sans-serif;text-align: start;text-indent: 28px\">\u03a8<\/span><span style=\"font-size: 15px;letter-spacing: 0.578px\">(<\/span><span style=\"font-size: 15px;letter-spacing: 0.578px\">q<\/span><span style=\"font-size: 15px;letter-spacing: 0.578px\">)=<\/span><span style=\"font-size: 15px;letter-spacing: 0.578px\">qx<\/span>\uff0c\u4e5f\u53ef\u4ee5\u7531\u6570\u636e\u8ba1\u7b97\u5f97\u5230\uff0c\u56e0\u6b64\u8fd9\u662f\u4e00\u7c7b\u76d1\u7763\u5b66\u4e60\uff0c\u53ef\u4ee5\u9009\u62e9\u5747\u65b9\u8bef\u5dee\u4f5c\u4e3a\u635f\u5931\u51fd\u6570\uff0c<sub><img alt=\"image.png\" class=\"rich_pages wxw-img\" data-imgfileid=\"100224987\" data-ratio=\"0.22407407407407406\" data-type=\"png\" data-w=\"1080\" data-width=\"115px\" style=\"vertical-align: baseline;width: 177px;height: 40px\" width=\"115\" src=\"\/wp-content\/uploads\/2025\/03\/wxsync-2025-03-fe9c27d3fb5b69845fd329d1e1c48154.png\" \/><\/sub>\u3002\u540c\u65f6\u8fd8\u9700\u8865\u5145\u6b63\u5219\u9879<sub><img alt=\"image.png\" class=\"rich_pages wxw-img\" data-imgfileid=\"100224988\" data-ratio=\"0.2070063694267516\" data-type=\"png\" data-w=\"628\" data-width=\"114px\" style=\"vertical-align: baseline;width: 114px\" width=\"114\" src=\"\/wp-content\/uploads\/2025\/03\/wxsync-2025-03-0f9303acadd942dafd04f39b2216f7eb.png\" \/><\/sub>\u4ee5\u9632\u53c2\u6570<span style=\"font-size: 15px;letter-spacing: 0.578px\">w<\/span><sup style=\"letter-spacing: 0.578px\">(0)<\/sup>\u8fc7\u5927\uff0c\u5f15\u5165<span style=\"font-family: arial, \u5b8b\u4f53, sans-serif;text-align: start;text-indent: 28px;font-size: 15px;letter-spacing: 0.578px\">\u03bb<\/span><sub>2<\/sub>(<span style=\"font-size: 15px;letter-spacing: 0.578px\">w<\/span><sup style=\"letter-spacing: 0.578px\">(0)<\/sup>\u00b7q)<sup>2<\/sup>\u4ee5\u907f\u514d\u5f97\u5230\u7684p\u8d8b\u4e8e\u5df2\u77e5\u7684\u53c2\u6570q\u3002\u5bf9\u4e8e\u4e0a\u8ff0\u7684\u76d1\u7763\u5b66\u4e60\uff0c\u53ef\u4ee5\u901a\u8fc7\u5bf9\u4e0d\u540c\u5c3a\u5ea6\u7684\u5b9e\u9a8c\u6216\u8005\u6a21\u62df\u6570\u636e\u8fdb\u884c\u8bad\u7ec3\u5f97\u5230\u53c2\u6570<span style=\"font-size: 15px;letter-spacing: 0.578px\">w<\/span><sup style=\"letter-spacing: 0.578px\">(0)<\/sup>\uff0c\u5e76\u8fdb\u884c\u9002\u5f53\u7684\u5f52\u4e00\u5316\u53d8\u6362\u540e\u5f97\u5230\u5e42\u6307\u6570p\uff0c\u4ece\u800c\u53d1\u73b0\u65b9\u7a0b\u4e2d\u81ea\u76f8\u4f3c\u53c2\u6570Z(p)\u7684\u6570\u5b66\u8868\u8fbe\u5f62\u5f0f\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<h3 style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"letter-spacing: 0.544px;text-align: right;font-size: 13px\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;text-align: center\">\n<section style=\"vertical-align: middle\">\n<section style=\"margin-bottom: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><\/section>\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 1.4\">\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\">3.&nbsp;\u57fa\u4e8e\u6a21\u62df\u548c\u5b9e\u9a8c\u6570\u636e\u63a8\u65ad\u81ea\u76f8\u4f3c\u53c2\u6570<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;letter-spacing: 0.578px;line-height: 1.75em\"><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\">\u4e3a\u4e86\u9a8c\u8bc1\u4e0a\u8ff0\u7814\u7a76\u65b9\u6cd5\u7684\u6709\u6548\u6027\uff0c\u7814\u7a76\u4e2d\u4ee5\u521a\u6027\u7403\u649e\u51fb\u7c98\u5f39\u6027\u677f\u5b9e\u9a8c\u4e3a\u4f8b\uff0c\u4ece\u5b9e\u9a8c\u548c\u6a21\u62df\u6570\u636e\u4e2d\u63a8\u65ad\u81ea\u76f8\u4f3c\u6027\u3002\u5b9e\u9a8c\u901a\u8fc7\u8ba9\u4e0d\u540c\u5927\u5c0f\u7684\u521a\u6027\u7403\u4ee5\u4e0d\u540c\u7684\u901f\u5ea6\u649e\u51fb\u4e00\u5757\u7c98\u5f39\u6027\u677f\uff0c\u89c2\u5bdf\u5176\u6700\u5927\u5f62\u53d8\u91cf<\/span><span style=\"font-size: 15px\">\uff08\u51f9\u9677\u6df1\u5ea6\uff09<\/span><span style=\"font-size: 15px\">\uff0c\u76ee\u6807\u662f\u627e\u51fa\u5f62\u53d8\u91cf\u5982\u4f55\u968f\u5176\u4ed6\u53c2\u6570\u53d8\u5316\uff0c\u4ece\u800c\u63ed\u793a\u5176\u80cc\u540e\u7684\u81ea\u76f8\u4f3c\u6027\u89c4\u5f8b\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\">\u7814\u7a76\u4e2d\u9996\u5148\u5b9a\u4e49\u4e86\u4e00\u7ec4\u65e0\u91cf\u7eb2\u53d8\u91cf\uff0c\u5305\u62ec\u53d8\u5f62\u91cf\u76f8\u5bf9\u4e8e\u7403\u534a\u5f84\u7684\u6bd4\u503c\u3001\u677f\u539a\u5ea6\u4e0e\u7403\u534a\u5f84\u7684\u6bd4\u503c\u3001\u51b2\u51fb\u52a8\u80fd\u4e0e\u5f39\u6027\u6a21\u91cf\u7684\u6bd4\u503c\u3001\u4ee5\u53ca\u9ecf\u6027\u6548\u5e94\u7684\u5f71\u54cd\u56e0\u5b50\u3002\u81ea\u76f8\u4f3c\u6027\u610f\u5473\u7740\u8fd9\u4e9b\u65e0\u91cf\u7eb2\u53c2\u6570\u7ec4\u5408\u6210\u65b0\u7684\u81ea\u76f8\u4f3c\u53c2\u6570\u540e\uff0c\u5b58\u5728\u4e00\u4e2a\u81ea\u76f8\u4f3c\u6027\u65b9\u7a0b\uff0c\u4f7f\u5f97\u4e0d\u540c\u5c3a\u5ea6\u4e0b\u7684\u5b9e\u9a8c\u6570\u636e\u901a\u8fc7\u81ea\u76f8\u4f3c\u53d8\u91cf\u53ef\u4ee5\u201c\u6298\u53e0\u201d\u5230\u4e00\u4e2a\u7edf\u4e00\u7684\u66f2\u7ebf\u4e0a\uff0c\u5373\u6240\u8c13\u7684\u6570\u636e\u5d29\u584c<\/span><span style=\"font-size: 15px\">\uff08<em>data collapse<\/em>\uff09<\/span><span style=\"font-size: 15px\">\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><img class=\"rich_pages wxw-img\" data-backh=\"202\" data-backw=\"562\" data-height=\"1505\" data-imgfileid=\"100224952\" data-ratio=\"0.3592592592592593\" data-type=\"png\" data-w=\"1080\" data-width=\"4193\" style=\"width: 100%;height: auto\" src=\"\/wp-content\/uploads\/2025\/03\/wxsync-2025-03-3394a0d916446ddf645a42badca83ee8.png\" \/><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.5em\"><span style=\"font-size: 13px\">\u56fe4. \u5728\u7403\u5f62\u51b2\u51fb\u7269\uff08\u534a\u5f84\u4e3a&nbsp;R\u3001\u5bc6\u5ea6\u4e3a&nbsp;<span style=\"font-family: arial, \u5b8b\u4f53, sans-serif;text-align: start;text-indent: 28px;font-size: 13px;letter-spacing: 0.578px\">\u03c1<\/span>\u3001\u51b2\u51fb\u901f\u5ea6\u4e3a&nbsp;v<sub>i<\/sub>\uff09\u4e0e\u4e00\u4e2a\u7c98\u5f39\u6027\u677f\uff08\u539a\u5ea6\u4e3a&nbsp;h\u3001\u5f39\u6027\u6a21\u91cf\u4e3a&nbsp;E\u3001\u7c98\u6027\u7cfb\u6570\u4e3a&nbsp;<span style=\"font-family: arial, \u5b8b\u4f53, sans-serif;text-align: start;text-indent: 28px;font-size: 13px;letter-spacing: 0.578px\">\u03bc<\/span>\uff09\u53d1\u751f\u78b0\u649e\u65f6\uff0c\u5404\u7269\u7406\u53c2\u6570\u7684\u51e0\u4f55\u5173\u7cfb\u3002<span style=\"font-family: arial, \u5b8b\u4f53, sans-serif;text-align: start;text-indent: 28px;font-size: 13px;letter-spacing: 0.578px\">\u03b4<\/span><sub>m<\/sub> \u8868\u793a\u78b0\u649e\u540e\u7684\u6700\u5927\u53d8\u5f62\u3002\u901a\u8fc7\u6784\u5efa4\u4e2a\u65e0\u91cf\u7eb2\u53c2\u6570\u4f5c\u4e3a\u8f93\u5165\uff0c\u5f15\u5165\u5230\u7ed3\u6784\u4e3a4-1-10-10-1\u7684\u795e\u7ecf\u7f51\u7edc\u6a21\u578b\u4e2d\u3002<\/span><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><em><br \/><\/em><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\">\u4e3a\u4e86\u627e\u5230\u81ea\u76f8\u4f3c\u53c2\u6570\u7684\u5177\u4f53\u5f62\u5f0f\uff0c\u7814\u7a76\u8005\u8bad\u7ec3\u4e86\u4e00\u4e2a\u7ed3\u6784\u4e3a4-1-10-10-1\u7684\u795e\u7ecf\u7f51\u7edc\u6a21\u578b\uff0c\u8f93\u5165\u4e3a4\u4e2a\u65e0\u91cf\u7eb2\u53c2\u6570\uff0c\u7b2c\u4e00\u5c42\u8fde\u63a5\u7684\u6743\u91cd\u4ee3\u8868\u4e86\u81ea\u76f8\u4f3c\u53c2\u6570\u4e2d\u65e0\u91cf\u7eb2\u53c2\u6570\u7684\u5e42\u6307\u6570\uff0c\u8f93\u51fa\u662f\u5b9e\u9a8c\u4e2d\u83b7\u5f97\u7684\u81ea\u76f8\u4f3c\u6027\u53c2\u6570\u3002\u901a\u8fc7\u6a21\u62df\u548c\u5b9e\u9a8c\u6570\u636e\u7684\u8bad\u7ec3\u53d1\u73b0\uff0c\u795e\u7ecf\u7f51\u7edc\u5728\u4e0d\u540c\u7684\u566a\u58f0\u4e0b\u5177\u6709\u826f\u597d\u7684\u6536\u655b\u6027\uff0c\u7531\u7b2c\u4e00\u5c42\u6743\u91cd\u5f52\u4e00\u5316\u540e\u5f97\u5230\u7684\u5e42\u6307\u6570\u4e0e\u7406\u8bba\u7ed3\u679c\u63a5\u8fd1\u3002\u8fd9\u610f\u5473\u7740\u795e\u7ecf\u7f51\u7edc\u80fd\u591f\u81ea\u52a8\u4ece\u6570\u636e\u4e2d\u63d0\u53d6\u81ea\u76f8\u4f3c\u53c2\u6570\u4e2d\u7684\u5e42\u6307\u6570\uff0c\u5f97\u5230\u5176\u5177\u4f53\u6570\u5b66\u5f62\u5f0f\uff0c\u5e76\u80fd\u591f\u62df\u5408\u81ea\u76f8\u4f3c\u6027\u65b9\u7a0b\u3002\u6240\u5f97\u5230\u7684\u81ea\u76f8\u4f3c\u53c2\u6570\u80fd\u591f\u4f7f\u6240\u6709\u5b9e\u9a8c\u6570\u636e\u584c\u7f29\u5230\u540c\u4e00\u6761\u66f2\u7ebf\uff0c\u9a8c\u8bc1\u4e86\u8be5\u7cfb\u7edf\u7684\u81ea\u76f8\u4f3c\u6027\u7ed3\u6784\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\">\u7814\u7a76\u8005\u8fdb\u4e00\u6b65\u5c06\u8be5\u65b9\u6cd5\u63a8\u5e7f\u5230\u66f4\u590d\u6742\u7684\u60c5\u51b5\uff0c\u6bd4\u5982\u5f53\u4e00\u4e2a\u7269\u7406\u7cfb\u7edf\u7684\u81ea\u76f8\u4f3c\u6027\u53d7\u591a\u4e2a\u53d8\u91cf\u5f71\u54cd\u65f6\uff0c\u53ef\u4ee5\u901a\u8fc7\u5728\u795e\u7ecf\u7f51\u7edc\u7b2c\u4e8c\u5c42\u589e\u52a0\u8282\u70b9\u4ee5\u63d0\u53d6\u591a\u4e2a\u53c2\u6570\u7684\u5e42\u6307\u6570\u3002\u7814\u7a76\u4e2d\u901a\u8fc7\u968f\u673a\u751f\u6210\u4e00\u7ec4\u6570\u636e\uff0c\u5e76\u4eba\u4e3a\u8bbe\u5b9a\u5176\u81ea\u76f8\u4f3c\u7ed3\u6784\uff0c\u7136\u540e\u7528\u795e\u7ecf\u7f51\u7edc\u53bb\u5b66\u4e60\u8fd9\u4e9b\u7ed3\u6784\uff0c\u5e76\u5728\u968f\u540e\u6d4b\u8bd5\u4e86\u771f\u5b9e\u7684\u5b9e\u9a8c\u6570\u636e\u3002\u7ed3\u679c\u8868\u660e\u5373\u4f7f\u7269\u7406\u7cfb\u7edf\u7684\u81ea\u76f8\u4f3c\u6027\u7ed3\u6784\u8f83\u4e3a\u590d\u6742\uff0c\u795e\u7ecf\u7f51\u7edc\u65b9\u6cd5\u4ecd\u80fd\u6709\u6548\u63d0\u53d6\u5e42\u6307\u6570\uff0c\u5f97\u5230\u81ea\u76f8\u4f3c\u53c2\u6570\u7684\u5177\u4f53\u5f62\u5f0f\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<h3 style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"letter-spacing: 0.544px;text-align: right;font-size: 13px\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;text-align: center\">\n<section style=\"vertical-align: middle\">\n<section style=\"margin-bottom: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><\/section>\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 1.4\">\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\">4.&nbsp;\u603b\u7ed3<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;letter-spacing: 0.578px;line-height: 1.75em\"><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\">\u5728\u8fd9\u9879\u7814\u7a76\u4e2d\uff0c\u7814\u7a76\u8005\u63d0\u51fa\u4e86\u4e00\u79cd\u6570\u636e\u9a71\u52a8\u7684\u65b9\u6cd5\uff0c\u5229\u7528\u795e\u7ecf\u7f51\u7edc\u81ea\u52a8\u53d1\u73b0\u7269\u7406\u7cfb\u7edf\u4e2d\u7684\u81ea\u76f8\u4f3c\u6027\uff0c\u4e3a\u7406\u89e3\u590d\u6742\u73b0\u8c61\u63d0\u4f9b\u4e86\u4e00\u79cd\u5168\u65b0\u7684\u601d\u8def\u3002\u4f20\u7edf\u4e0a\uff0c\u79d1\u5b66\u5bb6\u4e3b\u8981\u4f9d\u9760\u7406\u8bba\u63a8\u5bfc\u548c\u7ecf\u9a8c\u516c\u5f0f\u6765\u8bc6\u522b\u81ea\u76f8\u4f3c\u6027\u5173\u7cfb\uff0c\u4f8b\u5982\u901a\u8fc7\u91cf\u7eb2\u5206\u6790\u3001\u91cd\u6574\u5316\u65b9\u6cd5\u7b49\u6570\u5b66\u5de5\u5177\u63a8\u5bfc\u51fa\u7cfb\u7edf\u7684\u81ea\u76f8\u4f3c\u89c4\u5f8b\u3002\u7136\u800c\uff0c\u8fd9\u79cd\u65b9\u6cd5\u8981\u6c42\u7814\u7a76\u8005\u5bf9\u7cfb\u7edf\u5177\u6709\u6df1\u523b\u7684\u7269\u7406\u7406\u89e3\uff0c\u5e76\u4e14\u53ef\u80fd\u53d7\u5230\u6a21\u578b\u5047\u8bbe\u7684\u9650\u5236\uff0c\u96be\u4ee5\u9002\u7528\u4e8e\u6240\u6709\u60c5\u51b5\u3002\u76f8\u6bd4\u4e4b\u4e0b\uff0c\u795e\u7ecf\u7f51\u7edc\u65b9\u6cd5\u4e0d\u9700\u8981\u9884\u8bbe\u7269\u7406\u6a21\u578b\uff0c\u800c\u662f\u76f4\u63a5\u4ece\u5b9e\u9a8c\u6570\u636e\u4e2d\u201c\u5b66\u4e60\u201d\u81ea\u76f8\u4f3c\u89c4\u5f8b\uff0c\u4f7f\u5f97\u8fd9\u4e00\u65b9\u6cd5\u66f4\u52a0\u7075\u6d3b\u3001\u9002\u7528\u8303\u56f4\u66f4\u5e7f\u3002\u65e0\u8bba\u662f\u7814\u7a76\u6e4d\u6d41\u3001\u5730\u9707\u3001\u8fd8\u662f\u751f\u7269\u7cfb\u7edf\u4e2d\u7684\u81ea\u76f8\u4f3c\u6027\uff0c\u8fd9\u79cd\u6570\u636e\u9a71\u52a8\u7684\u65b9\u5f0f\u90fd\u80fd\u63d0\u4f9b\u5f3a\u5927\u7684\u5206\u6790\u5de5\u5177\uff0c\u5e2e\u52a9\u79d1\u5b66\u5bb6\u66f4\u5feb\u3001\u66f4\u51c6\u786e\u5730\u53d1\u73b0\u9690\u85cf\u7684\u7269\u7406\u6cd5\u5219\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<blockquote class=\"js_blockquote_wrap\" data-type=\"2\" data-url=\"\" data-author-name=\"\" data-content-utf8-length=\"160\" data-source-title=\"\">\n<section class=\"js_blockquote_digest\">\n<section>\u540c\u65f6\u4e5f\u7ed9\u5927\u5bb6\u63a8\u8350\u4e00\u4e0b22\u5e74\u4e00\u7bc7\u53d1\u8868\u5728Nature Communications\u4e0a\u7684\u5de5\u4f5c\u300a<a target=\"_blank\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247652948&amp;idx=1&amp;sn=9ea71b5d24547f02c546a5fe678b3cde&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" rel=\"noopener noreferrer\">Data-driven discovery of dimensionless numbers and governing laws from scarce measurements<\/a>\u300b\u4ecb\u7ecd\u4e86\u4e00\u79cd\u65e0\u91cf\u7eb2\u5b66\u4e60\u7684\u65b9\u6cd5\uff0c\u8bc6\u522b\u65e0\u91cf\u7eb2\u6570\u4e0e\u6807\u5ea6\u5f8b\u3002<\/section>\n<\/section>\n<\/blockquote>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><span><strong><span style=\"font-size: 15px\">\u53c2\u8003\u6587\u732e<\/span><\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;text-align: left;line-height: normal;margin-bottom: 8px\"><span style=\"font-size: 13px\">[1] N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (CRC Press, Boca Raton, FL, 2018).<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;text-align: left;line-height: normal;margin-bottom: 8px\"><span style=\"font-size: 13px\">[2] G. I. Barenblatt, Scaling, Self-Similarity, and Intermediate Asymptotics, Cambridge Texts in Applied Mathematics (Cambridge University Press, Cambridge, UK, 1996).<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;text-align: left;line-height: normal;margin-bottom: 8px\"><span style=\"font-size: 13px\">[3] G. I. Barenblatt, Scaling, Cambridge Texts in Applied Mathematics (Cambridge University Press, Cambridge, UK, 2003).<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;text-align: left;line-height: normal;margin-bottom: 8px\"><span style=\"font-size: 13px\">[4] N. Goldenfeld, O. Martin, and Y. Oono, Intermediate asymptotics and renormalization group theory, J. Sci. Comput. 4, 355 (1989).<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;text-align: left;line-height: normal;margin-bottom: 8px\"><span style=\"font-size: 13px\">[5] R. Watanabe, T. Ishii, Y. Hirono, and H. Maruoka, Data-driven discovery of self-similarity using neural networks, Physical Review E 111, 024301 (2025).<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em\"><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.578px;line-height: 1.75em\"><span><strong><span style=\"font-size: 15px\"><\/span><\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.578px;line-height: 1.75em\"><span><strong><span style=\"font-size: 15px\"><br \/><\/span><\/strong><\/span><\/section>\n<section style=\"margin-top: 10px;margin-bottom: 0px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.544px;text-align: center;justify-content: center\">\n<section style=\"width: auto;vertical-align: top;min-width: 10%;height: auto\">\n<section style=\"margin-bottom: -15px\">\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 2;letter-spacing: 3px\">\n<p><strong>\u590d\u6742\u7f51\u7edc\u52a8\u529b\u5b66\u8bfb\u4e66\u4f1a<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.544px;line-height: 1.75em\"><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;font-size: 14px;letter-spacing: 0.544px;, Arial, sans-serif;line-height: 2em\"><span style=\", Arial, sans-serif;font-size: 15px;letter-spacing: 0.034em\">\u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u5408\u80a5\u5de5\u4e1a\u5927\u5b66\u7269\u7406\u7cfb\u6559\u6388\u674e\u660e\u3001\u540c\u6d4e\u5927\u5b66\u526f\u6559\u6388\u5f20\u6bc5\u8d85\u3001\u5317\u4eac\u5e08\u8303\u5927\u5b66\u7279\u8058\u526f\u7814\u7a76\u5458\u53f2\u8d35\u5143\u4e0e\u5728\u8bfb\u535a\u58eb\u751f\u90b1\u4ef2\u666e\u3001\u5f20\u7ae0\u5171\u540c\u53d1\u8d77<\/span><a target=\"_blank\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247707987&amp;idx=1&amp;sn=6c2c2da64c8b06004edeb02568a05804&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" style=\"cursor: default;, Arial, sans-serif;font-size: 15px;letter-spacing: 0.034em\" rel=\"noopener noreferrer\">\u300c\u590d\u6742\u7f51\u7edc\u52a8\u529b\u5b66\u300d\u8bfb\u4e66\u4f1a<\/a><span style=\", Arial, sans-serif;font-size: 15px;letter-spacing: 0.034em\">\u3002\u672c\u6b21\u8bfb\u4e66\u4f1a\u5c06\u63a2\u8ba8\uff1a\u540c\u6b65\u76f8\u53d8\u7684\u4e34\u754c\u6027\u3001\u5982\u4f55\u666e\u9002\u5730\u523b\u753b\u591a\u7a33\u6001\u4e0e\u4e34\u754c\u70b9\u3001\u5982\u4f55\u8bc6\u522b\u5e76\u9884\u6d4b\u4e34\u754c\u8f6c\u53d8\u3001\u5982\u4f55\u901a\u8fc7\u5c40\u90e8\u5e72\u9884\u6765\u8c03\u63a7\u7cfb\u7edf\u4fdd\u6301\u6216\u56de\u5230\u671f\u671b\u7a33\u6001\u3001\u7206\u70b8\u903e\u6e17\u4e34\u754c\u884c\u4e3a\u7684\u5173\u952e\u7279\u5f81\u3001\u4e0d\u540c\u7c7b\u578b\u7684\u7ea7\u8054\u8fc7\u7a0b\u5bf9\u903e\u6e17\u76f8\u53d8\u7684\u5f71\u54cd\u6709\u4f55\u5f02\u540c\u3001\u9ad8\u9636\u76f8\u4e92\u4f5c\u7528\u7684\u5f71\u54cd\u80fd\u5426\u7b49\u6548\u4e3a\u82e5\u5e72\u7b80\u5355\u673a\u5236\u7684\u53e0\u52a0\u3001\u5982\u4f55\u6709\u6548\u5730\u4fc3\u8fdb\u4eba\u7c7b\u4e2a\u4f53\u95f4\u7684\u5408\u4f5c\u7b49\u95ee\u9898\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;font-size: 14px;letter-spacing: 0.544px;, Arial, sans-serif;line-height: 2em\"><span style=\", Arial, sans-serif;font-size: 15px;letter-spacing: 0.578px\"><br \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;font-size: 14px;letter-spacing: 0.544px;, Arial, sans-serif;line-height: 2em\"><span style=\", Arial, sans-serif;font-size: 15px;letter-spacing: 0.578px\">\u8bfb\u4e66\u4f1a\u8ba1\u5212\u4ece3\u67087\u65e5\u5f00\u59cb\uff0c\u6bcf\u5468\u4e94\u665a19:30-21:30\u8fdb\u884c\uff0c\u6301\u7eed8-10\u5468\u3002\u8bda\u631a\u9080\u8bf7\u9886\u57df\u5185\u7814\u7a76\u8005\u3001\u5bfb\u6c42\u8de8\u9886\u57df\u878d\u5408\u7684\u7814\u7a76\u8005\u52a0\u5165\uff0c\u5171\u540c\u63a2\u8ba8\u3002<\/span><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;font-size: 14px;letter-spacing: 0.544px;, Arial, sans-serif;line-height: 1.75em\"><span style=\"font-size: 16px;, Arial, sans-serif;letter-spacing: 0.034em\"><br \/><\/span><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;font-size: 14px;letter-spacing: 0.544px;, Arial, sans-serif;text-align: center\"><a target=\"_blank\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247707987&amp;idx=1&amp;sn=6c2c2da64c8b06004edeb02568a05804&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"1\" rel=\"noopener noreferrer\"><span class=\"js_jump_icon h5_image_link\" style=\"vertical-align: bottom;width: 100%\"><img alt=\"\u56fe\u7247\" class=\"rich_pages wxw-img\" data-backh=\"321\" data-backw=\"562\" data-cropselx1=\"0\" data-cropselx2=\"562\" data-cropsely1=\"0\" data-cropsely2=\"316\" data-galleryid=\"\" data-imgfileid=\"100224989\" data-ratio=\"0.5712962962962963\" data-s=\"300,640\" data-type=\"png\" data-w=\"1080\" style=\"border-width: 0px;border-style: initial;border-color: initial;width: 100%;height: auto\" src=\"\" \/><\/span><\/a><\/section>\n<section style=\"margin-bottom: 0px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.544px\">\n<p style=\"margin-right: 8px;margin-bottom: 5px;margin-left: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 5px;margin-left: 8px\"><span style=\"font-size: 15px\">\u8be6\u60c5\u8bf7\u89c1\uff1a<a target=\"_blank\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247707987&amp;idx=1&amp;sn=6c2c2da64c8b06004edeb02568a05804&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" style=\"cursor: default\" rel=\"noopener noreferrer\">\u590d\u6742\u7f51\u7edc\u4e0a\u7684\u81ea\u7ec4\u7ec7\u4e0e\u96c6\u4f53\u884c\u4e3a\uff1a\u4ece\u6269\u6563\u3001\u76f8\u53d8\u5230\u535a\u5f08 | \u8bfb\u4e66\u4f1a\u542f\u52a8<\/a><\/span><\/p>\n<\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.578px;line-height: 1.75em\"><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.578px;line-height: 1.75em\"><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><strong><strong style=\"letter-spacing: 0.544px;font-size: 16px;text-align: center;, Arial, sans-serif\"><strong style=\"text-align: left;font-family: PingFangSC-light;letter-spacing: 0.544px\"><span style=\"font-size: 15px;letter-spacing: 0.544px\">\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/strong><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><strong><\/strong><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><strong>1.&nbsp;<\/strong><span style=\"text-decoration: underline\"><strong><a target=\"_blank\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247652948&amp;idx=1&amp;sn=9ea71b5d24547f02c546a5fe678b3cde&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u65e0\u91cf\u7eb2\u5b66\u4e60\uff1a\u673a\u5668\u5b66\u4e60\u8bc6\u522b\u65e0\u91cf\u7eb2\u6570\u4e0e\u6807\u5ea6\u5f8b<\/a><\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><strong style=\"letter-spacing: 0.544px\">2.&nbsp;<\/strong><span style=\"text-decoration: underline\"><strong style=\"letter-spacing: 0.544px\"><a target=\"_blank\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247653916&amp;idx=1&amp;sn=8ae449b3af4f2f7570550e9829d275d3&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u81ea\u7ec4\u7ec7\u4e34\u754c\u6027\u7684\u5173\u952e\uff1a\u8fd1\u4f3c\u5e42\u5f8b\u4e0e\u957f\u7a0b\u5173\u8054<\/a><\/strong><\/span><strong style=\"letter-spacing: 0.544px\"><\/strong><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><strong style=\"letter-spacing: 0.544px\">3.&nbsp;<\/strong><span style=\"text-decoration: underline\"><strong style=\"letter-spacing: 0.544px\"><a target=\"_blank\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247706946&amp;idx=1&amp;sn=0da3b0c21355138694e476861a4cd189&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u81ea\u7ec4\u7ec7\u4e34\u754c\uff1a\u4e3a\u4ec0\u4e48\u5927\u89c4\u6a21\u707e\u96be\u9891\u7e41\u53d1\u751f\uff0c\u4e14\u96be\u4ee5\u9884\u6d4b\uff1f<\/a><\/strong><\/span><strong style=\"letter-spacing: 0.544px\"><\/strong><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><strong style=\"letter-spacing: 0.544px\"><\/strong><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><span><strong style=\"letter-spacing: 0.544px\">4.&nbsp;<\/strong><\/span><span style=\"text-decoration: underline\"><strong style=\"letter-spacing: 0.544px\"><strong style=\"letter-spacing: 0.544px\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247667315&amp;idx=1&amp;sn=fca3a09806e753fa83d3fd6eb8ccf9d8&amp;chksm=e89914fedfee9de82ae7107592b173d2a1c35141fab0006d3eac2dcb2dd1e74aa78a86e09a93&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" style=\"cursor: pointer\" rel=\"noopener noreferrer\">\u5f20\u6c5f\uff1a\u7b2c\u4e09\u4ee3\u4eba\u5de5\u667a\u80fd\u6280\u672f\u57fa\u7840\u2014\u2014\u4ece\u53ef\u5fae\u5206\u7f16\u7a0b\u5230\u56e0\u679c\u63a8\u7406 | \u96c6\u667a\u5b66\u56ed\u5168\u65b0\u8bfe\u7a0b<\/a><\/strong><\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><strong style=\"letter-spacing: 0.544px\"><\/strong><strong style=\", Arial, sans-serif;font-size: 14px;letter-spacing: 0.544px\">5.&nbsp;<\/strong><strong style=\", Arial, sans-serif;font-size: 14px;letter-spacing: 0.544px\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247684525&amp;idx=1&amp;sn=bee7098c0fdf998e7efd72def2442287&amp;chksm=e8994b20dfeec2360074b521111d22ada050fec084bd381175d2ffd708e31b3f94482be0daee&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" style=\"text-decoration: underline\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u89e3\u9501\u96c6\u667a\u5168\u7ad9\u5185\u5bb9\uff0c\u5f00\u542f\u65b0\u5e74\u5b66\u4e60\u8ba1\u5212<\/a><\/strong><\/section>\n<p style=\"margin-right: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px;margin-bottom: 0px\"><strong>6.&nbsp;<\/strong><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247667297&amp;idx=2&amp;sn=988b7314df45d949e69e81257801fff2&amp;chksm=e89914ecdfee9dfac76f9245fb1fd0e5b25d567e20790fbdab671234588ad0e88e1acf205711&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" style=\"cursor: pointer\" rel=\"noopener noreferrer\"><span style=\"text-decoration: underline\"><strong>\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/span><\/a><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.578px;line-height: 2em\"><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.578px;line-height: 2em\"><span style=\", Arial, sans-serif;font-size: 15px;letter-spacing: 0.578px;text-indent: 0em\"><br \/><\/span><\/p>\n<section style=\"margin-bottom: 0px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.578px;line-height: 2em;margin-left: 0px;margin-right: 0px\"><span style=\"text-indent: 0em;font-family: PingFangSC-light;font-size: 15px;font-weight: 700;letter-spacing: 0.544px;text-align: left\">\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u8bfb\u4e66\u4f1a<\/span><\/section>\n<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5bfc\u8bed \u81ea\u76f8\u4f3c\u6027\u63ed\u793a\u4e86\u590d\u6742\u7cfb\u7edf\u8de8\u5c3a\u5ea6\u7684\u7ed3\u6784\u89c4\u5f8b\uff0c\u4f46\u4f20\u7edf\u65b9\u6cd5\u4f9d\u8d56\u7406\u8bba\u5047\u8bbe\u4e14\u53ef\u80fd\u56e0\u4e3a\u5047\u5b9a\u7684\u6a21\u578b\u5f15\u5165\u663e\u8457\u7684\u504f\u5dee\u3002\u8fd1\u671f\u53d1\u8868\u5728Physical Review E\u7684\u4e00\u7bc7\u7814\u7a76\u63d0\u51fa\u57fa\u4e8e\u795e\u7ecf\u7f51\u7edc\u7684\u6570\u636e\u9a71\u52a8\u65b9\u6cd5\uff0c\u76f4\u63a5\u4ece\u5b9e\u9a8c\u6570\u636e\u4e2d\u63d0\u53d6\u81ea\u76f8\u4f3c\u53c2\u6570\u7684\u5e42\u5f8b\u5173\u7cfb\uff0c\u4e3a\u7406\u89e3\u590d\u6742\u73b0\u8c61\u7684\u81ea\u76f8\u4f3c\u6027\u7ed3\u6784\u63d0\u4f9b\u4e86\u4e00\u79cd\u5168\u65b0\u7684\u601d\u8def\u3002 \u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u5408&#8230;<\/p>\n","protected":false},"author":1,"featured_media":56701,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"special":[],"_links":{"self":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/56723"}],"collection":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=56723"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/56723\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/56701"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=56723"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=56723"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=56723"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=56723"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}