{"id":49497,"date":"2024-04-05T23:08:57","date_gmt":"2024-04-05T15:08:57","guid":{"rendered":"https:\/\/swarma.org\/?p=49497"},"modified":"2024-04-05T23:08:57","modified_gmt":"2024-04-05T15:08:57","slug":"%e9%87%8d%e6%95%b4%e5%8c%96%e9%81%87%e8%a7%81%e6%9c%ba%e5%99%a8%e5%ad%a6%e4%b9%a0%ef%bc%9a%e5%a4%9a%e5%b0%ba%e5%ba%a6%e8%a7%86%e8%a7%92%e6%8e%a2%e7%b4%a2%e5%a4%8d%e6%9d%82%e7%b3%bb%e7%bb%9f%e5%86%85","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=49497","title":{"rendered":"\u91cd\u6574\u5316\u9047\u89c1\u673a\u5668\u5b66\u4e60\uff1a\u591a\u5c3a\u5ea6\u89c6\u89d2\u63a2\u7d22\u590d\u6742\u7cfb\u7edf\u5185\u5728\u7684\u7edf\u4e00\u6027"},"content":{"rendered":"<div class='wxsyncmain'>\n<section powered-by=\"xiumi.us\" style=\"margin-bottom: 0px;outline: 0px;letter-spacing: 0.544px;white-space: normal;color: rgb(63, 63, 63);font-family: PingFangSC-light;font-size: 15px;background-color: rgb(255, 255, 255);visibility: visible;\" data-mpa-powered-by=\"yiban.io\">\n<section style=\"outline: 0px;display: inline-block;width: 661px;vertical-align: top;background-color: rgb(246, 246, 246);visibility: visible;\">\n<section style=\"outline: 0px;visibility: visible;\">\n<p style=\"text-align: center;\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-backh=\"578\" data-backw=\"578\" data-galleryid=\"148201300553654272\" data-gallerysupplier=\"1\" data-imgfileid=\"100204431\" data-ratio=\"1\" data-s=\"300,640\"  data-type=\"jpeg\" data-w=\"650\" height=\"650\" style=\"width: 100%;height: auto !important;\" width=\"650\" src=\"\/wp-content\/uploads\/2024\/04\/wxsync-2024-04-5e2f84e5a7cc288a92ef2e0d48409fb7.jpeg\"  \/><\/p>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;outline: 0px;letter-spacing: 0.544px;visibility: visible;\">\n<section style=\"outline: 0px;width: 661px;visibility: visible;\">\n<section style=\"padding-right: 3px;outline: 0px;float: left;line-height: 1;visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;text-align: left;visibility: visible;\">\n<section style=\"padding-left: 10px;outline: 0px;display: inline-block;width: auto;vertical-align: top;min-width: 10%;height: auto;border-left: 3px solid rgb(33, 166, 210);border-bottom-left-radius: 0px;line-height: 0;visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;transform: translate3d(-13px, 0px, 0px);visibility: visible;\">\n<section style=\"outline: 0px;display: inline-block;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;border-color: rgb(33, 166, 210) rgb(33, 166, 210) rgb(15, 76, 129);visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;transform: translate3d(-1px, 0px, 0px);visibility: visible;\">\n<section style=\"outline: 0px;text-align: justify;color: rgb(33, 166, 210);font-size: 16px;line-height: 1.5;visibility: visible;\">\n<p style=\"outline: 0px;visibility: visible;\"><strong style=\"outline: 0px;visibility: visible;\">\u5bfc\u8bed<\/strong><\/p>\n<\/section>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;transform: translate3d(-13px, 0px, 0px) rotateX(180deg);visibility: visible;\">\n<section style=\"outline: 0px;display: inline-block;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;border-color: rgb(33, 166, 210) rgb(33, 166, 210) rgb(15, 76, 129);visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 4px;padding-left: 4px;outline: 0px;clear: right;box-shadow: rgb(0, 0, 0) 0px 0px 0px;visibility: visible;min-height: 4.5em !important;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 5px;margin-bottom: 5px;outline: 0px;visibility: visible;\">\n<section style=\"padding-right: 8px;padding-left: 8px;outline: 0px;font-size: 13px;line-height: 2;letter-spacing: 0.544px;visibility: visible;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;text-indent: 0em;font-size: 15px;visibility: visible;\"><span style=\"outline: 0px;font-size: 13px;letter-spacing: 0.544px;text-decoration-style: solid;text-decoration-color: rgb(0, 0, 0);visibility: visible;\"><strong><span style=\"color: rgb(63, 63, 63);letter-spacing: 0.544px;text-decoration: none solid rgb(0, 0, 0);\"><strong><span style=\"font-size: 13px;letter-spacing: 0.544px;text-decoration: none solid rgb(0, 0, 0);\" data-sider-select-id=\"ffb822c7-5daf-47f8-8a6a-3eb69e7c65d3\">\u6b63\u56e0\u4e3a\u201c\u592a\u5c0f\u7684\u7ed3\u6784\u6211\u4eec\u770b\u4e0d\u6e05\uff0c\u592a\u5927\u7684\u7ed3\u6784\u6211\u4eec\u770b\u4e0d\u5168\u201d\uff0c\u6240\u4ee5\u6211\u4eec\u9700\u8981\u4f7f\u7528\u91cd\u6574\u5316\u7684\u65b9\u6cd5\uff0c\u4e0d\u65ad\u628a\u7cfb\u7edf\u7684\u91cd\u8981\u7279\u5f81\u7a81\u51fa\uff0c\u628a\u4e0d\u91cd\u8981\u7684\u7279\u5f81\u62b9\u9664\uff0c\u6700\u7ec8\u6211\u4eec\u4f1a\u53d1\u73b0\uff0c\u6216\u8bb8\u6574\u4e2a\u4e16\u754c\u662f\u7531\u4e00\u4e2a\u4e2a\u6709\u9650\u7684\u5c9b\u5c7f\u7ec4\u6210\uff0c\u6bcf\u4e2a\u7cfb\u7edf\u90fd\u4f1a\u5c5e\u4e8e\u4e00\u4e2a\u5c9b\u5c7f\uff0c\u518d\u65e0\u5176\u4ed6\u3002\u672c\u6587\u4ece\u4f0a\u8f9b\u6a21\u578b\u7684\u91cd\u6574\u5316\u5f00\u59cb\u4ecb\u7ecd\u4e86\u91cd\u6574\u5316\u7fa4\u7406\u8bba\uff0c\u7136\u540e\u7cfb\u7edf\u68b3\u7406\u4e86\u91cd\u6574\u5316\u7fa4\u548c\u673a\u5668\u5b66\u4e60\u7ed3\u5408\u4e4b\u5904\u7684\u7cfb\u5217\u7814\u7a76\uff0c\u6700\u540e\u63a2\u8ba8\u4e86\u4e0e\u91cd\u6574\u5316\u7fa4\u6b8a\u9014\u540c\u5f52\u7684\u591a\u5c3a\u5ea6\u52a8\u529b\u5b66\u5efa\u6a21\u5728\u63a2\u7d22\u975e\u5e73\u8861\u52a8\u529b\u7cfb\u7edf\u65b9\u9762\u7684\u524d\u6cbf\u8fdb\u5c55\uff0c\u5305\u62ec\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u3001\u672c\u5f81\u5fae\u89c2\u6001\u7406\u8bba\u3001\u5f3a\u5316\u5b66\u4e60\u4e16\u754c\u6a21\u578b\u7b49\u3002<\/span><\/strong><\/span><\/strong><\/span><\/strong><strong style=\"letter-spacing: 0.544px;outline: 0px;text-indent: 0em;font-size: 15px;visibility: visible;\"><\/strong><\/section>\n<section style=\"padding-right: 8px;padding-left: 8px;outline: 0px;font-size: 13px;line-height: 2;letter-spacing: 0.544px;visibility: visible;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;text-indent: 0em;font-size: 15px;visibility: visible;\"><span style=\"outline: 0px;font-size: 13px;letter-spacing: 0.544px;text-decoration-style: solid;text-decoration-color: rgb(0, 0, 0);visibility: visible;\"><strong><span style=\"color: rgb(63, 63, 63);letter-spacing: 0.544px;text-decoration: none solid rgb(0, 0, 0);\"><strong><span style=\"font-size: 13px;letter-spacing: 0.544px;text-decoration: none solid rgb(0, 0, 0);\"><br  \/><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/section>\n<section style=\"padding-right: 8px;padding-left: 8px;outline: 0px;font-size: 13px;line-height: 2;letter-spacing: 0.544px;visibility: visible;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;text-indent: 0em;font-size: 15px;visibility: visible;\"><span style=\"outline: 0px;font-size: 13px;letter-spacing: 0.544px;text-decoration-style: solid;text-decoration-color: rgb(0, 0, 0);visibility: visible;\"><strong><span style=\"color: rgb(63, 63, 63);letter-spacing: 0.544px;text-decoration: none solid rgb(0, 0, 0);\"><strong><span style=\"font-size: 13px;letter-spacing: 0.544px;text-decoration: none solid rgb(0, 0, 0);\" data-sider-select-id=\"78d936b2-e296-4c96-a1d4-675c95371ba7\">\u8de8\u5c3a\u5ea6\u3001\u8de8\u5c42\u6b21\u7684\u6d8c\u73b0\u662f\u590d\u6742\u7cfb\u7edf\u7814\u7a76\u7684\u5173\u952e\u95ee\u9898\uff0c\u751f\u547d\u8d77\u6e90\u548c\u610f\u8bc6\u8d77\u6e90\u8fd9\u4e24\u5ea7\u4ef0\u4e4b\u5f25\u9ad8\u7684\u5927\u5c71\u662f\u5176\u4ee3\u8868\u3002\u7531\u5317\u4eac\u5e08\u8303\u5927\u5b66\u7cfb\u7edf\u79d1\u5b66\u5b66\u9662\u6559\u6388\u3001\u96c6\u667a\u4ff1\u4e50\u90e8\u521b\u59cb\u4eba\u5f20\u6c5f\u9886\u8854\u53d1\u8d77\u7684\u96c6\u667a\u4ff1\u4e50\u90e8<\/span><\/strong><\/span><\/strong><\/span><\/strong><strong style=\"letter-spacing: 0.544px;outline: 0px;text-indent: 0em;font-size: 15px;visibility: visible;\"><span style=\"outline: 0px;font-size: 13px;letter-spacing: 0.544px;text-decoration-style: solid;text-decoration-color: rgb(0, 0, 0);visibility: visible;\"><strong><span style=\"letter-spacing: 0.544px;text-decoration-style: solid;text-decoration-color: rgb(0, 0, 0);\"><strong><span style=\"letter-spacing: 0.544px;text-decoration-style: solid;text-decoration-color: rgb(0, 0, 0);\" data-sider-select-id=\"78d936b2-e296-4c96-a1d4-675c95371ba7\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247687960&amp;idx=1&amp;sn=97d99347590e621c2fbe1f9f647e929f&amp;chksm=e8994595dfeecc83856435bc9906db11db930f6397fa75dbf031970fc9daa4696f1211059ef2&amp;scene=21#wechat_redirect\" textvalue=\"\u300c\u56e0\u679c\u6d8c\u73b0\u300d\u8bfb\u4e66\u4f1a\u7b2c\u4e94\u5b63\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u300c\u56e0\u679c\u6d8c\u73b0\u300d\u8bfb\u4e66\u4f1a\u7b2c\u4e94\u5b63<\/a>\u5c06\u8ffd\u8e2a\u56e0\u679c\u6d8c\u73b0\u9886\u57df\u7684\u524d\u6cbf\u8fdb\u5c55\uff0c\u5c55\u793a\u96c6\u667a\u793e\u533a\u6210\u5458\u7684\u539f\u521b\u6027\u5de5\u4f5c\uff0c\u63a2\u8ba8\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u3001\u590d\u6742\u7cfb\u7edf\u7684\u4f4e\u79e9\u8868\u793a\u7406\u8bba\u3001\u672c\u5f81\u5fae\u89c2\u6001\u7406\u8bba\u4e4b\u95f4\u7684\u76f8\u901a\u4e4b\u5904\uff0c\u5e0c\u671b\u5bf9\u590d\u6742\u7cfb\u7edf\u7684\u6d8c\u73b0\u73b0\u8c61\u6709\u66f4\u6df1\u523b\u7684\u7406\u89e3\u3002\u8bfb\u4e66\u4f1a\u4ece2024\u5e744\u670819\u65e5\u5f00\u59cb\uff0c\u6bcf\u5468\u4e94\u665a20:00-22:00\u8fdb\u884c\uff0c\u6301\u7eed\u65f6\u95f4\u9884\u8ba18-10\u5468\u3002\u6b22\u8fce\u611f\u5174\u8da3\u7684\u670b\u53cb\u62a5\u540d\u53c2\u4e0e\uff01<\/span><\/strong><\/span><\/strong><\/span><\/strong><\/section>\n<section style=\"padding-right: 8px;padding-left: 8px;outline: 0px;font-size: 13px;line-height: 2;letter-spacing: 0.544px;visibility: visible;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;text-indent: 0em;font-size: 15px;visibility: visible;\"><span style=\"outline: 0px;font-size: 13px;letter-spacing: 0.544px;text-decoration-style: solid;text-decoration-color: rgb(0, 0, 0);visibility: visible;\"><br  \/><\/span><\/strong><\/section>\n<section style=\"padding-right: 8px;padding-left: 8px;outline: 0px;font-size: 13px;line-height: 2;letter-spacing: 0.544px;visibility: visible;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;text-indent: 0em;font-size: 15px;visibility: visible;\"><span style=\"outline: 0px;font-size: 13px;letter-spacing: 0.544px;text-decoration-style: solid;text-decoration-color: rgb(0, 0, 0);visibility: visible;\">\u5173\u952e\u8bcd\uff1a<strong><span style=\"color: rgb(63, 63, 63);letter-spacing: 0.544px;text-decoration: none solid rgb(0, 0, 0);\">\u91cd\u6574\u5316\u7fa4\uff0c\u673a\u5668\u5b66\u4e60\uff0c\u4e34\u754c\u76f8\u53d8\uff0c\u4f0a\u8f9b\u6a21\u578b\uff0c\u666e\u9002\u7c7b\uff0c\u591a\u5c3a\u5ea6\u52a8\u529b\u5b66\u5efa\u6a21<\/span><\/strong><\/span><\/strong><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"margin-top: 5px;margin-bottom: 5px;outline: 0px;visibility: visible;\">\n<section style=\"padding-right: 8px;padding-left: 8px;outline: 0px;font-size: 13px;line-height: 2;letter-spacing: 0.544px;visibility: visible;text-align: right;\"><strong style=\"outline: 0px;letter-spacing: 0.578px;text-indent: 0em;font-size: 15px;visibility: visible;\"><\/strong><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"margin-top: 5px;margin-bottom: 5px;outline: 0px;visibility: visible;\">\n<section style=\"padding-right: 8px;padding-left: 8px;outline: 0px;font-size: 13px;line-height: 2;letter-spacing: 0.544px;visibility: visible;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;visibility: visible;\"><strong style=\"outline: 0px;visibility: visible;\"><\/strong><\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;outline: 0px;visibility: visible;\">\n<section style=\"outline: 0px;width: 661px;visibility: visible;\">\n<section style=\"outline: 0px;clear: both;line-height: 0;visibility: visible;\">\n<section style=\"outline: 0px;line-height: 0;width: 0px;visibility: visible;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align: top;visibility: visible;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;outline: 0px;letter-spacing: 0.544px;white-space: normal;color: rgb(63, 63, 63);font-family: PingFangSC-light;font-size: 15px;background-color: rgb(255, 255, 255);text-align: center;visibility: visible;\">\n<section style=\"outline: 0px;vertical-align: middle;display: inline-block;line-height: 0;visibility: visible;\"><img class=\"rich_pages wxw-img\" data-fileid=\"100098753\" data-imgfileid=\"100204427\" data-ratio=\"0.07314814814814814\"  data-type=\"png\" data-w=\"1080\" style=\"outline: 0px;vertical-align: middle;visibility: visible !important;width: 677px !important;height: auto !important;\" src=\"\/wp-content\/uploads\/2024\/04\/wxsync-2024-04-6f9f672988af7db277f019eec3e6e952.png\"  \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"margin-bottom: 0px;outline: 0px;letter-spacing: 0.544px;white-space: normal;font-size: 13px;color: rgb(63, 63, 63);font-family: PingFangSC-light;background-color: rgb(255, 255, 255);text-align: right;\">\n<section style=\"outline: 0px;clear: both;min-height: 1em;line-height: 1.75em;\"><span style=\"outline: 0px;color: rgb(63, 63, 63);font-size: 13px;letter-spacing: 0.544px;text-decoration: none solid rgb(63, 63, 63);\" data-sider-select-id=\"eaa08d93-d3a8-42ce-a76f-b46e26f1ef54\">\u9676\u5982\u610f<\/span>&nbsp;<strong style=\"outline: 0px;\"><span style=\"outline: 0px;color: rgb(0, 0, 0);\">| \u4f5c\u8005<\/span><\/strong><\/section>\n<section style=\"outline: 0px;clear: both;min-height: 1em;line-height: 1.75em;\" data-sider-select-id=\"0f6ab290-2892-498a-80c2-2ffa64f0b960\"><span data-sider-select-id=\"eaa08d93-d3a8-42ce-a76f-b46e26f1ef54\" style=\"color: rgb(63, 63, 63);font-family: PingFangSC-light;font-size: 13px;letter-spacing: 0.544px;text-align: right;text-wrap: wrap;background-color: rgb(255, 255, 255);text-decoration-style: solid;text-decoration-color: rgb(63, 63, 63);outline: 0px;\">\u6881\u91d1<\/span><strong style=\"outline: 0px;\" data-sider-select-id=\"79c6b955-1dd7-46f0-a073-c1818026c800\"><span data-sider-select-id=\"eaa08d93-d3a8-42ce-a76f-b46e26f1ef54\" style=\"color: rgb(63, 63, 63);font-family: PingFangSC-light;font-size: 13px;letter-spacing: 0.544px;text-align: right;text-wrap: wrap;background-color: rgb(255, 255, 255);text-decoration-style: solid;text-decoration-color: rgb(63, 63, 63);outline: 0px;\"><\/span><span style=\"color: rgb(63, 63, 63);font-family: PingFangSC-light;font-size: 13px;letter-spacing: 0.544px;text-align: right;text-wrap: wrap;background-color: rgb(255, 255, 255);\">&nbsp;<\/span><strong style=\"color: rgb(63, 63, 63);font-family: PingFangSC-light;font-size: 13px;letter-spacing: 0.544px;text-align: right;text-wrap: wrap;background-color: rgb(255, 255, 255);outline: 0px;\"><span style=\"outline: 0px;color: rgb(0, 0, 0);\">| \u7f16\u8f91<\/span><\/strong><\/strong><\/section>\n<\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section mpa-from-tpl=\"t\" style=\"margin-bottom: 0px;outline: 0px;letter-spacing: 0.544px;white-space: normal;color: rgb(34, 34, 34);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;background-color: rgb(255, 255, 255);visibility: visible;\">\n<section mpa-from-tpl=\"t\" style=\"outline: 0px;visibility: visible;\">\n<section mpa-from-tpl=\"t\" style=\"outline: 0px;visibility: visible;\">\n<section mpa-from-tpl=\"t\" style=\"margin-right: 8px;margin-left: 8px;outline: 0px;letter-spacing: 0.544px;line-height: 1.75em;visibility: visible;\">\n<section mpa-from-tpl=\"t\" style=\"margin-right: 8px;margin-left: 8px;outline: 0px;line-height: 1.75em;visibility: visible;\">\n<section data-id=\"85410\" data-tools=\"135\u7f16\u8f91\u5668\" style=\"outline: 0px;letter-spacing: 0.54px;visibility: visible;\">\n<section style=\"margin: 10px auto;outline: 0px;visibility: visible;\">\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);visibility: visible;\">\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;text-align: left;visibility: visible;\"><strong style=\"outline: 0px;letter-spacing: 0.54px;color: rgb(61, 170, 214);font-size: 16px;visibility: visible;\">\u76ee\u5f55<\/strong><strong style=\"outline: 0px;color: inherit;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;font-size: var(--articleFontsize);text-align: justify;letter-spacing: 0.578px;\"><\/strong><\/section>\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;visibility: visible;\">\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;letter-spacing: 0.578px;line-height: 2em;\"><span style=\"color: rgb(63, 63, 63);\"><strong style=\"outline: 0px;\"><span style=\"outline: 0px;font-size: 15px;\">1.&nbsp;\u4ec0\u4e48\u662f\u91cd\u6574\u5316<\/span><\/strong><\/span><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;letter-spacing: 0.578px;line-height: 2em;text-align: left;\"><span style=\"color: rgb(63, 63, 63);\"><strong style=\"outline: 0px;\"><span style=\"outline: 0px;font-size: 15px;\">2. \u91cd\u6574\u5316\u4e0e\u673a\u5668\u5b66\u4e60<\/span><\/strong><\/span><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;letter-spacing: 0.578px;line-height: 2em;\"><span style=\"color: rgb(63, 63, 63);\"><strong style=\"outline: 0px;\"><span style=\"color: rgb(63, 63, 63);outline: 0px;font-size: 15px;\">3.&nbsp;\u975e\u5e73\u8861\u6001\u7cfb\u7edf\u7684\u591a\u5c3a\u5ea6\u5efa\u6a21<\/span><\/strong><\/span><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;letter-spacing: 0.578px;line-height: 2em;\"><span style=\"color: rgb(63, 63, 63);\"><strong style=\"outline: 0px;\"><span style=\"color: rgb(63, 63, 63);outline: 0px;font-size: 15px;\">4. \u603b\u7ed3<\/span><\/strong><\/span><\/p>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;letter-spacing: 0.578px;line-height: 1.75em;\"><strong style=\"outline: 0px;\"><\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;outline: 0px;font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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;letter-spacing: 0.544px;\"  \/><\/p>\n<p style=\"margin-bottom: 0px;\"><br  \/><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u91cd\u6574\u5316\u5728\u7269\u7406\u9886\u57df\uff0c\u5c24\u5176\u662f\u7c92\u5b50\u7269\u7406\u548c\u7edf\u8ba1\u7269\u7406\u9886\u57df\u5177\u6709\u975e\u5e38\u91cd\u8981\u7684\u5730\u4f4d\u3002\u5f15\u7528\u52a0\u5dde\u5927\u5b66\u5723\u8fed\u6208\u5206\u6821\u5c24\u4ea6\u5e84\u8001\u5e08<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08E\u5927\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u5173\u4e8e\u91cd\u6574\u5316\u7684\u4f7f\u7528\u573a\u666f\u7684\u603b\u7ed3\u5c31\u662f\uff1a\u592a\u5c0f\u7684\u7ed3\u6784\u6211\u4eec\u770b\u4e0d\u6e05\uff0c\u592a\u5927\u7684\u7ed3\u6784\u6211\u4eec\u770b\u4e0d\u5168\u3002\u6240\u4ee5\uff0c\u6211\u4eec\u9700\u8981\u91cd\u6574\u5316\u6765\u5bf9\u7cfb\u7edf\u8fdb\u884c\u622a\u65ad\u6216\u8005\u8fdb\u884c\u201c\u7c97\u7cd9\u5316\u201d\u7684\u63cf\u8ff0\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u5173\u4e8e\u4ec0\u4e48\u662f\u91cd\u6574\u5316\uff0c\u672c\u6587\u4e3b\u8981\u4ee5\u6211\u7684\u5b66\u4e60\u8def\u5f84\u4e3a\u951a\u70b9\u5206\u4eab\u5bf9\u4e8e\u91cd\u6574\u5316\u7684\u7406\u89e3\u3002\u5728\u5f53\u524d\u9636\u6bb5\u5176\u5b9e\u5c31\u662f\u8fd9\u6837\u4e00\u53e5\u8bdd\uff1a\u5b83\u672c\u8d28\u4e0a\u662f<strong>\u63cf\u8ff0\u7cfb\u7edf\u53c2\u6570\u7a7a\u95f4\u52a8\u529b\u5b66<\/strong>\u7684\u4e00\u5957\u56fe\u50cf\u3002\u6700\u540e\uff0c\u6211\u4eec\u4f1a\u518d\u56de\u5230E\u5927\u7684\u63cf\u8ff0\u8fdb\u884c\u547c\u5e94\u3002\u6240\u4ee5\uff0c\u8ba9\u6211\u4eec\u4ece\u52a8\u529b\u5b66\u7684\u8bdd\u9898\u5f00\u59cb\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<h2 style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/h2>\n<h3 style=\"outline: 0px;font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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;white-space: normal;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;text-align: right;font-size: 13px;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;outline: 0px;letter-spacing: 0.544px;text-align: center;\">\n<section style=\"outline: 0px;display: inline-block;vertical-align: middle;\">\n<section style=\"margin-bottom: -2px;outline: 0px;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;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;clear: both;line-height: 0;\">\n<section style=\"outline: 0px;line-height: 0;width: 0px;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;outline: 0px;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;\">\n<p style=\"outline: 0px;\"><strong style=\"outline: 0px;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);letter-spacing: 0.544px;\"><span style=\"outline: 0px;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;caret-color: rgb(89, 89, 89);\"><strong style=\"outline: 0px;color: rgb(61, 170, 214);letter-spacing: 0.578px;\">1. \u4ec0\u4e48\u662f\u91cd\u6574\u5316<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;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;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;outline: 0px;font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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: 0.578px;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><br  \/><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u9996\u5148\u6211\u4eec\u5148\u5f62\u5f0f\u5316\u5730\u8868\u793a\u4e00\u4e2a\u7cfb\u7edf\u3002\u5bf9\u4e8e\u4e00\u4e2a\u52a8\u529b\u7cfb\u7edf\uff0c\u6211\u4eec\u53ef\u4ee5\u5229\u7528\u8fd9\u6837\u4e00\u4e2a\u65b9\u7a0b\u6765\u63cf\u8ff0\uff1a<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);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;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">dx\/dt = f(x,&nbsp;<span style=\"caret-color: rgb(51, 51, 51);font-family: arial, \u5b8b\u4f53, sans-serif;text-align: start;text-indent: 28px;text-size-adjust: auto;letter-spacing: 0.578px;text-decoration: none solid rgb(63, 63, 63);\">\u03b8<\/span>)&nbsp; &nbsp; &nbsp; &nbsp; (1)<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u5176\u4e2dx\u662f\u7cfb\u7edf\u7684\u53d8\u91cf\uff0c\u800c\u03b8\u548cf\u7684\u5f62\u5f0f\u5728\u7279\u5b9a\u95ee\u9898\u4e0b\u901a\u5e38\u662f\u56fa\u5b9a\u7684\u3002\u6bd4\u5982\u4e00\u4e2a\u5f39\u7c27\u632f\u5b50\u7684\u5fae\u5206\u65b9\u7a0b\u662f<span style=\"font-size: 12px;\"><sub><img class=\"rich_pages wxw-img\" data-imgfileid=\"100204428\" data-ratio=\"0.20675105485232068\"  data-type=\"png\" data-w=\"237\" data-width=\"109px\" style=\"vertical-align: inherit;width: 96px;height: auto !important;\" width=\"109\" src=\"\/wp-content\/uploads\/2024\/04\/wxsync-2024-04-3ebf18a14e1fd43f879209e26fda1c8d.png\"  \/><\/sub><\/span>\u3002\u5f53\u7136\uff0c\u8fd9\u91cc\u5199\u6210\u4e86\u52a8\u529b\u5b66\u5f62\u5f0f\uff0c\u662f\u56e0\u4e3a\u52a8\u6001\u7cfb\u7edf\u5bf9\u6211\u4eec\u7814\u7a76\u590d\u6742\u7cfb\u7edf\u7684\u4eba\u6765\u8bf4\u66f4\u4e3a\u5e38\u89c1\u3002\u800c\u5982\u679c\u6211\u4eec\u8981\u5efa\u6a21\u7684\u7cfb\u7edf\u662f\u4e00\u4e2a\u5e73\u8861\u7cfb\u7edf\uff0c\u90a3\u4e48\u5c31\u53ef\u4ee5\u7528\u4e00\u4e2a\u6982\u7387\u5206\u5e03p(x, <span style=\"letter-spacing: 0.578px;\">\u03b8<\/span>)\u6765\u63cf\u8ff0\u8fd9\u4e2a\u7cfb\u7edf\u3002\u800c\u4e0b\u8ff0\u5185\u5bb9\u4e3a\u4e86\u65b9\u4fbf\u8bba\u8ff0\uff0c\u6211\u4eec\u90fd\u4ee5\u590d\u6742\u7cfb\u7edf\u66f4\u5e38\u89c1\u7684\u52a8\u529b\u5b66\u7cfb\u7edf\u5c55\u793a\u4e3a\u4e3b\uff0c\u8fd9\u5e76\u4e0d\u59a8\u788d\u6211\u4eec\u5bf9\u6574\u4e2a\u7406\u8bba\u7684\u7406\u89e3\u3002\u603b\u4e4b\u5462\uff0c\u6211\u4eec\u73b0\u5728\u53ef\u4ee5\u7528\u5f62\u5f0f\u5316\u7684\u6570\u5b66\u628a\u4e00\u4e2a\u7cfb\u7edf\u63cf\u8ff0\u51fa\u6765\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u800c\u8fd9\u4e2a\u65f6\u5019\u6211\u4eec\u518d\u5f15\u5165\u5c3a\u5ea6\u7684\u6982\u5ff5\u3002\u5f15\u5165\u5c3a\u5ea6\u610f\u5473\u7740\u4ec0\u4e48\u5462\uff1f\u5b9e\u9645\u4e0a\u5f15\u5165\u5c3a\u5ea6\u7684\u89c6\u89d2\uff0c\u5c31\u597d\u50cf\u6211\u4eec\u5728\u7528\u4e0d\u540c\u5206\u8fa8\u7387\u7684\u773c\u775b\u91cd\u65b0\u770b\u8fd9\u4e2a\u7cfb\u7edf\uff0c\u6bd4\u5982\u6211\u4eec\u4f7f\u7528\u7684\u5206\u8fa8\u7387\u66f4\u4f4e\u4e86\uff0c\u90a3\u4e48\u6211\u4eec\u770b\u5230\u7684\u7cfb\u7edf\u5c31\u4f1a\u66f4\u201c\u7cca\u201d\uff0c\u4e22\u5931\u4e86\u5f88\u591a\u7ec6\u8282\uff0c\u4f46\u6211\u4eec\u8fd8\u662f\u80fd\u770b\u5230\u7cfb\u7edf\u5728\u8fd0\u52a8\u3002\u5728\u8fd9\u4e2a\u65b0\u7684\u5c3a\u5ea6\u4e0a\u6211\u4eec\u4e5f\u53ef\u4ee5\u7528\u4e00\u5957\u65b0\u7684\u52a8\u529b\u5b66\u65b9\u7a0b\u6765\u63cf\u8ff0\uff0c\u6bd4\u5982\u53ef\u4ee5\u5199\u6210<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);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;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">dy\/dt = f'(y,&nbsp;<span style=\"letter-spacing: 0.578px;\">\u03b8<\/span>&#8216;)\uff08\u5e73\u8861\u6001\u7cfb\u7edf\u5219\u53ef\u4ee5\u5199\u6210p'(y, <span style=\"letter-spacing: 0.578px;\">\u03b8<\/span>&#8216;) \uff082\uff09<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u5728\u8fd9\u4e2a\u65b0\u7684\u63cf\u8ff0\u5f62\u5f0f\u4e0b\uff0c\u7cfb\u7edf\u7684\u53d8\u91cf\u53ef\u4ee5\u548c\u539f\u6765\u4e0d\u4e00\u6837\uff0c\u53c2\u6570\u53ef\u4ee5\u4e0d\u4e00\u6837\uff0c\u5c31\u8fde\u65b9\u7a0b\u7684\u5f62\u5f0f\u4e5f\u53ef\u4ee5\u4e0d\u4e00\u6837<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u4ecef\u53d8\u6210\u4e86f&#8217;\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u3002\u5176\u5b9e\u5404\u4e2a\u9886\u57df\u7684\u4f20\u7edf\u65b9\u6cd5\uff0c\u5c31\u662f\u8fd9\u4e48\u53bb\u5904\u7406\u4e00\u4e2a\u7cfb\u7edf\u4e0d\u540c\u5c3a\u5ea6\u7684\u3002\u6211\u4eec\u5728\u5904\u7406\u6bcf\u4e00\u4e2a\u5c3a\u5ea6\u4e0a\u7684\u95ee\u9898\u53ef\u4ee5\u8bf4\u662f\u6e38\u5203\u6709\u4f59\uff0c\u5e76\u4e14\u4e5f\u53d1\u660e\u4e86\u5f88\u591a\u975e\u5e38\u6210\u719f\u7684\u5de5\u5177\u7528\u6765\u5206\u6790\u5404\u79cd\u52a8\u529b\u5b66\u4e2d\u7684\u5fae\u5206\u65b9\u7a0b\u548c\u504f\u5fae\u5206\u65b9\u7a0b\u3002\u7ebf\u6027\u52a8\u529b\u5b66\u5c31\u4e0d\u7528\u8bf4\u4e86\uff0c\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u4e5f\u6709\u8bf8\u5982\u6d41<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08flow\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u3001\u6df7\u6c8c\u3001\u5438\u5f15\u5b50\u3001\u5206\u5f62\u7b49\u4e30\u5bcc\u7684\u5206\u6790\u5de5\u5177<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u63a8\u8350\u4e66\u7c4d\uff1aStenven Strogatz \u7684 Nonlinear dynamics and chaos\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u4e0d\u8fc7\uff0c\u7269\u7406\u5b66\u5bb6\u5c31\u662f\u8fd9\u4e48\u4e00\u7fa4\u5947\u602a\u7684\u7269\u79cd\uff0c\u603b\u662f\u559c\u6b22\u53e6\u8f9f\u8e4a\u5f84\u505a\u4e00\u4e9b\u5947\u602a\u7684\u4e8b\u60c5\u3002\u4ed6\u4eec\u5728\u5bf9\u7cfb\u7edf\u4e0d\u65ad\u505a\u7c97\u7c92\u5316\u7684\u8fc7\u7a0b\uff0c\u53d1\u660e\u4e86\u91cd\u6574\u5316\u7684\u65b9\u6cd5\u3002\u91cd\u6574\u5316\u8fd9\u4e2a\u5de5\u5177\u8981\u56de\u7b54\u7684\u5b9e\u9645\u4e0a\u5c31\u662f\u8fd9\u6837\u4e00\u4e2a\u95ee\u9898\uff1a\u6211\u4eec\u5728\u4e0d\u65ad\u5bf9\u7cfb\u7edf\u505a\u7c97\u7c92\u5316\u7684\u65f6\u5019\uff0c\u7cfb\u7edf\u4f1a\u53d1\u751f\u4ec0\u4e48\u6837\u7684\u53d8\u5316\uff0c\u4e5f\u5c31\u662f\u8bf4\u5728\u8ffd\u95ee\u7684\u662f\uff1a<strong>\u7cfb\u7edf\u5728\u4e0d\u540c\u5c3a\u5ea6\u4e4b\u95f4\u5b58\u5728\u4ec0\u4e48\u6837\u7684\u5173\u7cfb\uff1f<\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><strong><br  \/><\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u5b9e\u9645\u4e0a\uff0c\u5ef6\u7eed\u4e0a\u6587\u7684\u8bed\u8a00\uff0c\u91cd\u6574\u5316\u8981\u5efa\u6a21\u7684\uff0c\u662f\u4e0d\u540c\u5c3a\u5ea6\u7cfb\u7edf\u53c2\u6570\u7684\u52a8\u529b\u5b66\u3002\u5373<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);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;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">d<span style=\"letter-spacing: 0.578px;text-align: center;\">\u03b8<\/span>\/dl = g(<span style=\"letter-spacing: 0.578px;text-align: center;\">\u03b8<\/span>, <span style=\"caret-color: rgb(51, 51, 51);font-family: arial, \u5b8b\u4f53, sans-serif;text-align: start;text-indent: 28px;text-size-adjust: auto;letter-spacing: 0.578px;text-decoration: none solid rgb(63, 63, 63);\">\u03b3<\/span>)&nbsp; &nbsp; \uff083\uff09<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u4e0a\u9762\u7684\u516c\u5f0f\u6709\u51e0\u4e2a\u5173\u952e\u70b9\uff0c\u9996\u5148\u81ea\u53d8\u91cf\u7531\u539f\u6765\u7684\u65f6\u95f4t\u53d8\u6210\u4e86\u5c3a\u5ea6l\uff0c\u5176\u6b21\u56e0\u53d8\u91cf\u662f\u03b8\uff0c\u4e5f\u5c31\u662f\u539f\u7cfb\u7edf\u7684\u53c2\u6570\u3002<strong>\u8fd9\u662f\u5728\u8bf4\uff0c\u65b9\u7a0b\u5efa\u6a21\u7684\u662f\u7cfb\u7edf\u7684\u53c2\u6570\u968f\u5c3a\u5ea6\u7684\u53d8\u5316\u3002<\/strong>\u5f53\u7136\u6211\u4eec\u80fd\u5199\u6210\u4e0a\u9762\u8fd9\u6761\u516c\u5f0f\u7684\u524d\u63d0\uff0c\u662f\u5047\u8bbe\u4e86\u4e0d\u540c\u5c3a\u5ea6\u7684\u52a8\u529b\u5b66\u5f62\u5f0ff\u548cf&#8217;\u53ef\u4ee5\u5199\u6210\u57fa\u672c\u4e00\u81f4\u7684\u5f62\u5f0f<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u57fa\u672c\u4e00\u81f4\u8fd9\u4e2a\u8bf4\u6cd5\u5f88\u5fae\u5999\uff0c\u6211\u4eec\u4f1a\u5728\u4e0b\u6587\u7ed9\u51fa\u89e3\u91ca\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u3002\u8fd9\u4e2a\u5047\u8bbe\u867d\u7136\u770b\u7740\u5f88\u5f3a\uff0c\u4f46\u5176\u5b9e\u5728\u5f88\u591a\u7269\u7406\u7cfb\u7edf\u4e2d\u662f\u975e\u5e38\u5408\u7406\u7684\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u6211\u4eec\u4ee5\u7ecf\u5178\u7684\u5e73\u8861\u6001 Ising model \u4e3a\u4f8b<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Ising model \u7684\u57fa\u672c\u4ecb\u7ecd\u89c1\uff1a<a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247575565&amp;idx=2&amp;sn=d659c642d73e3caeb05e90d31f2c37a3&amp;chksm=e896f280dfe17b965f46e90dd854c8df07bdd265a7c45bffa516eaa298a2dcf1410c78a8bfa3&amp;scene=21#wechat_redirect\" textvalue=\"\u4ec0\u4e48\u662f\u4f0a\u8f9b\u6a21\u578b Ising Model | \u96c6\u667a\u767e\u79d1\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u4f0a\u8f9b\u6a21\u578b&nbsp;| \u96c6\u667a\u767e\u79d1<\/a>\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\uff0c\u5757\u7c97\u7c92\u5316<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08 block coarse-graining\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u7684\u64cd\u4f5c\u5176\u5b9e\u53ef\u4ee5\u8fd1\u4f3c\u7b49\u4ef7\u4e8e\u8c03\u63a7\u7cfb\u7edf\u7684\u8026\u5408\u7cfb\u6570<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u4e5f\u53ef\u4ee5\u7406\u89e3\u6210\u6e29\u5ea6\uff0c\u8026\u5408\u7cfb\u6570\u548c\u6e29\u5ea6\u6709\u76f4\u63a5\u7684\u5173\u7cfb\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u3002\u6240\u4ee5\u6211\u4eec\u4f1a\u6709\u90a3\u5f20\u7ecf\u5178\u7684\u52a8\u6001 Ising \u91cd\u6574\u5316\u7684\u56fe\u50cf<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u5982\u56fe1\u6240\u793a\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u3002\u800c\u53ef\u4ee5\u8fd9\u4e48\u505a\u7684\u524d\u63d0\u662f\uff0c\u4e0d\u540c\u5c3a\u5ea6\u7684 Ising model \u5b83\u4f9d\u7136\u662f\u4e00\u4e2a Ising model\uff0c \u4e0d\u4f1a\u53d8\u6210\u5176\u4ed6\u522b\u7684\u6bd4\u5982Potts\u6a21\u578b<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Potts\u6a21\u578b\u7684\u53d8\u91cf\u4e0d\u662f\u4e8c\u503c\u7684\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u3002\u5728\u8fd9\u4e00\u524d\u63d0\u4e0b\uff0c\u516c\u5f0f<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff083\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u5c31\u63cf\u8ff0\u4e86\u4e00\u4e2a\u5168\u65b0\u7684\u52a8\u529b\u7cfb\u7edf\uff0c\u8fd9\u4e2a\u7cfb\u7edf\u6307\u7684\u5c31\u662f\u539f\u6765\u7cfb\u7edf\u7684\u591a\u5c3a\u5ea6\u89c6\u89d2\u3002\u6211\u4eec\u901a\u8fc7\u4f7f\u7528\u52a8\u529b\u7cfb\u7edf\u7684\u65b9\u6cd5\u6765\u5206\u6790\u8fd9\u4e2a\u7cfb\u7edf\uff0c\u4e5f\u53ef\u4ee5\u5f97\u5230\u4e00\u7cfb\u5217\u7684\u7cfb\u7edf\u5173\u4e8e\u5c3a\u5ea6\u7684\u5b9a\u91cf\u89c4\u5f8b\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);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=\"841\" data-imgfileid=\"100204430\" data-ratio=\"1.0193939393939393\"  data-type=\"png\" data-w=\"825\" data-width=\"825\" style=\"width: 373px;height: auto !important;\" src=\"\/wp-content\/uploads\/2024\/04\/wxsync-2024-04-b093bb4342ac9ddc9b84590c12599106.png\"  \/><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.5em;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">\u56fe1. Ising \u6a21\u578b2\u7ef4\u7a7a\u95f4\u7684\u5b9e\u7a7a\u95f4\u91cd\u6574\u5316\uff0c\u5916\u573a\u4e3a0\u3002\u6bcf\u4e00\u5217\u4ee3\u8868\u7684\u662f\u4e0d\u540c\u7684\u7ea6\u5316\u6e29\u5ea6\u3002\u6bcf\u4e00\u884c\u4ee3\u8868\u7684\u5206\u522b\u662f\u539f\u59cb\u7cfb\u7edf\uff0c1\u6b21\u91cd\u6574\u5316\uff0c2\u6b21\u91cd\u6574\u5316\u540e\u7684\u7cfb\u7edf\u3002<\/span><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u90a3\u4e48\uff0c\u6211\u4eec\u5df2\u7ecf\u5f97\u5230\u4ec0\u4e48\u6837\u7684\u89c4\u5f8b\u5462\uff1f\u65e2\u7136\u4ed6\u662f\u4e00\u4e2a\u52a8\u529b\u7cfb\u7edf\uff0c\u5c31\u53ef\u4ee5\u7528\u4e00\u4e2a\u76f8\u56fe\u6765\u8868\u793a\uff0c\u56fe2\u5206\u522b\u662f Ising model 1d \u548c 2d \u4e3a\u4f8b\u7684\u91cd\u6574\u5316\u65b9\u7a0b\u76f8\u56fe\u30021d\u60c5\u51b5\u4e0b\u6ca1\u6709\u975e\u5e73\u51e1\u7684\u4e0d\u52a8\u70b9<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08fixed point\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\uff0c2d\u65f6\u5219\u5b58\u5728\u4e00\u4e2a\u975e\u5e73\u51e1\u7684\u4e0d\u52a8\u70b9\u3002\u800c\u53c2\u6570\u7a7a\u95f4\u7684<strong>\u4e0d\u52a8\u70b9<\/strong>\u610f\u5473\u7740\u5728\u5c3a\u5ea6\u53d8\u5316\u7684\u8fc7\u7a0b\u4e2d\uff0c\u7cfb\u7edf\u7684\u7684\u53c2\u6570\u4e0d\u53d1\u751f\u53d8\u5316\u3002\u8fd9\u5176\u5b9e\u662f\u4e00\u4e2a\u633a\u5947\u602a\u7684\u73b0\u8c61\uff0c\u610f\u5473\u7740\u7c97\u7c92\u5316\u7684\u8fc7\u7a0b\u4e0d\u4f1a\u672c\u8d28\u6539\u53d8\u7cfb\u7edf\u5185\u5143\u7d20\u7684\u76f8\u4e92\u4f5c\u7528\u57fa\u672c\u89c4\u5219\u3002\u8fd9\u53ea\u6709\u4e24\u79cd\u573a\u666f\u624d\u6709\u53ef\u80fd\u53d1\u751f\uff1a<\/span><\/section>\n<ul class=\"list-paddingleft-1\" style=\"list-style-type: circle;\">\n<li>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u7cfb\u7edf\u5185\u90e8\u5143\u7d20\u7684\u5173\u8054\u6027\u8981\u4e48\u662f0\uff0c\u5373\u6ca1\u6709\u76f8\u4e92\u4f5c\u7528\uff1b<\/span><\/section>\n<\/li>\n<li>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;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;letter-spacing: 0.034em;\">\u8981\u4e48\u5c31\u5b58\u5728\u7740\u65e0\u7a77\u5927\u7684\u957f\u7a0b\u5173\u8054\uff0c\u6240\u4ee5\u65e0\u8bba\u600e\u4e48\u7c97\u7c92\u5316\u6211\u4eec\u62b9\u53bb\u7684\u53ea\u662f\u65e0\u5173\u7d27\u8981\u7684\u5c40\u90e8\u4fe1\u606f\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=\"color: rgb(63, 63, 63);font-size: 15px;\">\u6240\u4ee5\uff0c\u91cd\u6574\u5316\u65b9\u7a0b\u7684<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u975e\u5e73\u51e1\u7684\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u4e0d\u52a8\u70b9\u5728\u4e34\u754c\u7cfb\u7edf\u4e2d\u5176\u5b9e\u5c31\u5bf9\u5e94\u7740\u76f8\u53d8\u70b9\u3002\u56fe2\u4e2d\u7684K\u662f\u7cfb\u7edf\u7684\u8026\u5408\u7cfb\u6570\uff0c\u662f\u4e00\u4e2a\u7c7b\u4f3c\u4e8e\u6e29\u5ea6\u7684\u53c2\u6570\uff0c\u51b3\u5b9a\u4e86\u7cfb\u7edf\u7684\u76f8\u4e92\u4f5c\u7528\u7684\u5f3a\u5ea6\u3002\u5e76\u4e14\u7528\u8fd9\u79cd\u65b9\u6cd5\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u76f4\u63a5\u8ba1\u7b97\u51fa\u7cfb\u7edf\u7684\u4e34\u754c\u6307\u6570\u3002\u5728\u6709\u4e86\u8fd9\u6837\u7684\u76f4\u89c2\u56fe\u50cf\u4e4b\u540e\uff0c\u611f\u5174\u8da3\u7684\u540c\u5b66\u5c31\u53ef\u4ee5\u7ee7\u7eed\u6df1\u6316\u6709\u5173\u4e8e\u91cd\u6574\u5316\u7684\u6570\u5b66\u7ec6\u8282\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<blockquote data-type=\"quote_container\">\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(136, 136, 136);\"><strong>\u8d44\u6599\u63a8\u8350\uff1a<\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(136, 136, 136);\">\u96c6\u667a\u767e\u79d1\uff1aIsing\u6a21\u578b\u7684\u91cd\u6574\u5316 https:\/\/wiki.swarma.org\/index.php\/<span style=\"color: rgb(136, 136, 136);font-size: 15px;letter-spacing: 0.578px;text-align: left;text-wrap: wrap;\">Ising\u6a21\u578b\u7684\u91cd\u6574\u5316<\/span><\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(136, 136, 136);\"><span style=\"color: rgb(136, 136, 136);font-size: 15px;letter-spacing: 0.578px;text-wrap: wrap;\">\u4e66\u7c4d\uff1aComplexity and Criticality\u3001<\/span>\u300a\u8fb9\u7f18\u5947\u8ff9\uff1a\u76f8\u53d8\u4e0e\u4e34\u754c\u73b0\u8c61\u300b<\/span><\/section>\n<\/blockquote>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<p style=\"text-align: center;margin-left: 8px;margin-right: 8px;margin-bottom: 0px;\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-imgfileid=\"100204429\" data-ratio=\"0.4074074074074074\" data-s=\"300,640\"  data-type=\"png\" data-w=\"1080\" style=\"height: auto !important;\" src=\"\/wp-content\/uploads\/2024\/04\/wxsync-2024-04-2fd82d5911bf166a372959c4e696662f.png\"  \/><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.5em;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">\u56fe2. \u5de6\u56fe\u662f1\u7ef4Ising\u6a21\u578b\u7684\u91cd\u6574\u5316\u793a\u610f\u56fe\uff08a\uff09\u548c\uff08b\uff09\u76f8\u56fe\uff1b\u53f3\u56fe\u662f2\u7ef4Ising\u6a21\u578b\u7684\u91cd\u6574\u5316\u793a\u610f\u56fe\uff08a\uff09\u548c\uff08b\uff09\u76f8\u56fe<\/span><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u5b9e\u9645\u4e0a\uff0c\u8fd8\u6709\u4e00\u4e2a\u5bb9\u6613\u88ab\u5ffd\u7565\u4f46\u4e5f\u5f88\u5173\u952e\u7684\u7ec6\u8282\uff0c\u5c31\u662f\u5728\u521a\u521a\u8ba8\u8bba\u8fc7\u7a0b\u4e2d\u6211\u4eec\u63d0\u5230\u91cd\u6574\u5316\u7684\u5047\u8bbe\u662f\u4e0d\u540c\u5c3a\u5ea6\u7684\u52a8\u529b\u5b66f\u548cf&#8217;\u57fa\u672c\u4e00\u81f4\u3002\u5b9e\u9645\u4e0a\u6211\u4eec\u5728Ising model\u7684\u4f8b\u5b50\u4e2d\uff0c\u5fae\u89c2\u5c3a\u5ea6\u7684\u8026\u5408\u5f3a\u5ea6\u662f\u4e00\u9636\u6700\u8fd1\u90bb\u76f8\u4e92\u4f5c\u7528\uff0c\u91cd\u6574\u5316\u4e00\u6b21\u4e4b\u540e\u4f1a\u51fa\u73b0\u66f4\u9ad8\u9636\u7684\u76f8\u4e92\u4f5c\u7528\uff0c\u8026\u5408\u5f3a\u5ea6K\u7684\u53d8\u5316\u4e0d\u4ec5\u4ec5\u662f\u7b80\u5355\u6570\u503c\u7684\u53d8\u5316\uff0c\u5176\u5b9e\u66f4\u7cbe\u786e\u7684\u8868\u8ff0\u8fd8\u6d89\u53ca\u5230\u7ef4\u5ea6\u7684\u6269\u5c55\u3002\u6240\u4ee5\u56fe2\u53f3\u8fb9\u7684\u76f8\u56fe\uff0c\u5176\u5b9e\u662f\u66f4\u9ad8\u7ef4\u52a8\u529b\u7cfb\u7edf\u7684\u4e00\u4e2a\u964d\u7ef4\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u8fd9\u91cc\u7684\u8026\u5408\u5f3a\u5ea6K\u5176\u5b9e\u5e94\u8be5\u662f\u4e00\u4e2a\u65e0\u9650\u7ef4\u5411\u91cf\uff0c\u5305\u542b\u4e86\u591a\u79cd\u7c7b\u578b\u7684\u76f8\u4e92\u4f5c\u7528<strong>K<\/strong>=(K<sub>1<\/sub>, K<sub>2<\/sub>, K<sub>3<\/sub>,&#8230;)\uff0c\u5176\u4e2dK<sub>1<\/sub>\u662f\u6700\u8fd1\u90bb\u76f8\u4e92\u4f5c\u7528\u5e38\u6570\uff0cK<sub>2<\/sub>\u662f\u6b21\u8fd1\u90bb\uff0cK<sub>3<\/sub>\u662f\u4e09\u4e2a\u90bb\u5c45\uff0c\u4ee5\u6b64\u7c7b\u63a8\u3002\u5176\u80fd\u91cf\u51fd\u6570\u5f62\u5982\uff1a<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<p style=\"text-align: center;margin-left: 8px;margin-right: 8px;margin-bottom: 0px;\"><img class=\"rich_pages wxw-img\" data-galleryid=\"\" data-imgfileid=\"100204432\" data-ratio=\"0.11018518518518519\" data-s=\"300,640\"  data-type=\"png\" data-w=\"1080\" style=\"width: 349px;height: auto !important;\" src=\"\/wp-content\/uploads\/2024\/04\/wxsync-2024-04-5452dccd312d69ec41428153e08db6f2.png\"  \/><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u800c\u6211\u4eec\u901a\u5e38\u8ba8\u8bba\u7684 Ising model \u9664\u4e86K<sub>1<\/sub>\u4ee5\u5916\u5176\u4ed6\u7cfb\u6570\u90fd\u4e3a0\uff0c\u6240\u4ee5\u5bf9\u539f\u59cb\u7cfb\u7edf\u7684\u91cd\u6574\u5316\u8fc7\u7a0b\u66f4\u52a0\u7cbe\u786e\u7684\u63cf\u8ff0\u5e94\u8be5\u662f\u5982\u56fe3\u6240\u793a\u3002\u56fe3\u753b\u51fa\u4e86\u8026\u5408\u7cfb\u6570\u7684\u4e09\u4e2a\u7ef4\u5ea6\uff0c\u6bcf\u6b21\u91cd\u6574\u5316\u64cd\u4f5c\u8026\u5408\u7cfb\u6570\u5728\u8fd9\u4e2a\u7a7a\u95f4\u4e2d\u53d8\u5316\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);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=\"758\" data-imgfileid=\"100204434\" data-ratio=\"0.8834498834498834\"  data-type=\"png\" data-w=\"858\" data-width=\"858\" style=\"width: 420px;height: auto !important;\" src=\"\/wp-content\/uploads\/2024\/04\/wxsync-2024-04-085e11870b972d2df9b63b1bd1b1ccec.png\"  \/><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.5em;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">\u56fe3. \u4ee53\u7ef4\u53c2\u6570\u7a7a\u95f4\u793a\u610f\u56fe\u3002\u901a\u5e38\u6211\u4eec\u8c08\u8bbaIsing\u6a21\u578b\u7684\u65f6\u5019\u90fd\u662f\u6307K<sub>2<\/sub>\u548cK<sub>3<\/sub>\u4e24\u4e2a\u7ef4\u5ea6\u4e3a0\u3002\u56fe\u4e2d\u6807\u6ce8\u4e86\u4e09\u4e2a\u4e0d\u52a8\u70b9\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\u7684\u4f4d\u7f6e\u3002\u56fe2\u7684\u4e00\u7ef4\u76f8\u56fe\u5176\u5b9e\u662f\u8fd9\u4e2a\u7a7a\u95f4\u5728<span style=\"color: rgb(136, 136, 136);letter-spacing: 0.578px;text-wrap: wrap;\">K<\/span><sub style=\"color: rgb(136, 136, 136);letter-spacing: 0.578px;text-wrap: wrap;\">1<\/sub>\u7ef4\u5ea6\u4e0a\u7684\u6295\u5f71\u3002\u56fe\u4e2d\u7070\u8272\u7684\u9762\u662f\u6240\u6709\u8026\u5408\u5e38\u6570\u90fd\u4e3a\u221e\u7684\u4e34\u754c\u9762\uff08Critical surface\uff09<\/span><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u5f53\u6211\u4eec\u4f7f\u7528\u91cd\u6574\u5316\u5ffd\u7565\u7cfb\u7edf\u7684\u7ec6\u8282\u4e4b\u540e\uff0c\u8fd8\u60ca\u559c\u5730\u53d1\u73b0\uff0c<strong>\u81ea\u7136\u754c\u4e2d\u7684\u5404\u7c7b\u7cfb\u7edf\u867d\u7136\u5343\u5dee\u4e07\u522b\uff0c\u4f46\u53ea\u8868\u73b0\u51fa\u4e86\u6709\u9650\u7c7b\u522b\u7684\u91cd\u6574\u5316\u884c\u4e3a<\/strong>\u3002\u6bd4\u5982\u94c1\u78c1\u7cfb\u7edf\u7684\u76f8\u53d8\u548c\u6c34\u7684\u6c14\u6db2\u76f8\u53d8\u7684\u76f8\u53d8\u884c\u4e3a\u5c45\u7136\u975e\u5e38\u4e00\u81f4\u3002\u57fa\u4e8e\u8fd9\u4e00\u53d1\u73b0\uff0c\u4eba\u4eec\u5c31\u7528\u4e0d\u540c\u7cfb\u7edf\u5728\u91cd\u6574\u5316\u8fc7\u7a0b\u4e2d\u8868\u73b0\u51fa\u884c\u4e3a\u7684\u4e0d\u540c\uff0c\u800c\u5bf9\u7cfb\u7edf\u8fdb\u884c\u4e86\u5206\u7c7b\uff0c\u8fd9\u5c31\u662f\u666e\u9002\u7c7b<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08universality class\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u7684\u6982\u5ff5\u3002\u666e\u9002\u7c7b\u7684\u63d0\u51fa\u4f7f\u5f97\u6211\u4eec\u5bf9\u4e34\u754c\u76f8\u53d8\u7cfb\u7edf\u7684\u7406\u89e3\u6709\u4e86\u8d28\u7684\u98de\u8dc3\u3002\u8fd9\u5c31\u53ef\u4ee5\u56de\u5230\u4e86\u5f00\u5934E\u5927\u7684\u90a3\u53e5\u8bdd\uff1a\u6b63\u56e0\u4e3a\u201c\u592a\u5c0f\u7684\u7ed3\u6784\u6211\u4eec\u770b\u4e0d\u6e05\uff0c\u592a\u5927\u7684\u7ed3\u6784\u6211\u4eec\u770b\u4e0d\u5168\u201d\uff0c\u6240\u4ee5<strong>\u6211\u4eec\u9700\u8981\u4f7f\u7528\u91cd\u6574\u5316\u7684\u65b9\u6cd5\uff0c\u4e0d\u65ad\u628a\u7cfb\u7edf\u7684\u91cd\u8981\u7279\u5f81\u7a81\u51fa\uff0c\u628a\u4e0d\u91cd\u8981\u7684\u7279\u5f81\u62b9\u9664\uff0c\u6700\u7ec8\u6211\u4eec\u4f1a\u53d1\u73b0\uff0c\u6574\u4e2a\u4e16\u754c\u662f\u7531\u4e00\u4e2a\u4e2a\u6709\u9650\u7684\u5c9b\u5c7f\u7ec4\u6210\uff0c\u6bcf\u4e2a\u7cfb\u7edf\u90fd\u4f1a\u5c5e\u4e8e\u4e00\u4e2a\u5c9b\u5c7f\uff0c\u518d\u65e0\u5176\u4ed6<\/strong>\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u4e0d\u8fc7\uff0c\u5f53\u6211\u4eec\u60f3\u4f7f\u7528\u91cd\u6574\u5316\u7406\u8bba\u5bf9\u5177\u4f53\u7cfb\u7edf\u8fdb\u884c\u5206\u6790\u7684\u65f6\u5019\uff0c\u8fd8\u662f\u5b58\u5728\u4e00\u4e9b\u95e8\u69db\u7684\uff0c\u6bd4\u5982\u6211\u4eec\u9700\u8981\u8bbe\u8ba1\u5408\u9002\u7684\u91cd\u6574\u5316\u7b56\u7565\uff0c\u800c\u6709\u65f6\u5019\u6211\u4eec\u5176\u5b9e\u5e76\u4e0d\u77e5\u9053\u5e94\u8be5\u9075\u5faa\u4ec0\u4e48\u539f\u5219\u6765\u8bbe\u8ba1\u8fd9\u4e00\u7b56\u7565\uff0c\u8fd9\u975e\u5e38\u4f9d\u8d56\u4e8e\u79d1\u5b66\u5bb6\u7684\u7ecf\u9a8c\u751a\u81f3\u662f\u7075\u611f\u3002\u518d\u6bd4\u5982\u662f\u4e0d\u662f\u53ef\u4ee5\u53d1\u660e\u4e00\u4e9b\u65b9\u6cd5\uff0c\u628a\u6574\u4e2a\u8ba1\u7b97\u6d41\u7a0b\u81ea\u52a8\u5316\uff0c\u8ba9\u673a\u5668\u81ea\u52a8\u53bb\u8ba1\u7b97\u666e\u9002\u7c7b\uff0c\u4ece\u800c\u89e3\u653e\u79d1\u5b66\u5bb6\u7684\u751f\u4ea7\u529b\uff0c\u8ba9\u79d1\u5b66\u5bb6\u4eec\u53bb\u601d\u8003\u66f4\u91cd\u8981\u7684\u95ee\u9898\u3002\u4e8e\u662f\uff0c\u5c31\u51fa\u73b0\u4e86\u4e00\u6279\u6570\u636e\u9a71\u52a8\u548c\u91cd\u6574\u5316\u7406\u8bba\u7ed3\u5408\u7684\u65b9\u6cd5\u3002<\/span><\/section>\n<p><br  \/><\/p>\n<h3 style=\"outline: 0px;font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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;white-space: normal;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;text-align: right;font-size: 13px;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;outline: 0px;letter-spacing: 0.544px;text-align: center;\">\n<section style=\"outline: 0px;display: inline-block;vertical-align: middle;\">\n<section style=\"margin-bottom: -2px;outline: 0px;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;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;clear: both;line-height: 0;\">\n<section style=\"outline: 0px;line-height: 0;width: 0px;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;outline: 0px;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;\">\n<p style=\"outline: 0px;\"><strong style=\"outline: 0px;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);letter-spacing: 0.544px;\"><span style=\"outline: 0px;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;caret-color: rgb(89, 89, 89);\"><strong style=\"outline: 0px;color: rgb(61, 170, 214);letter-spacing: 0.578px;\">2. Renormalization Group and Machine Learning<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;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;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;outline: 0px;font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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: 0.578px;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><br  \/><\/p>\n<h3 style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"font-size: 15px;\">Renormalization Group for Machine Learning<\/span><\/strong><\/span><\/h3>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u673a\u5668\u5b66\u4e60\u548c\u91cd\u6574\u5316\u7684\u7ed3\u5408\u662f\u4e00\u4e2a\u975e\u5e38\u524d\u6cbf\u4f46\u4e5f\u65e9\u5c31\u88ab\u4eba\u5173\u6ce8\u7684\u9886\u57df\uff0c\u4ecePCA[1]\u5f00\u59cb\u5c31\u6709\u76f8\u5173\u7684\u8ba8\u8bba\u3002\u5e76\u4e14\uff0c\u6df1\u5ea6\u5b66\u4e60\u7684\u6df1\u5ea6\u7ed3\u6784\u548c\u91cd\u6574\u5316\u5728\u5f62\u5f0f\u4e0a\u53c8\u6709\u975e\u5e38\u591a\u7684\u76f8\u4f3c\u4e4b\u5904\uff1a<strong>\u91cd\u6574\u5316\u901a\u8fc7\u4e0d\u65ad\u7c97\u7c92\u5316\u7684\u65b9\u5f0f\u63d0\u53d6\u7cfb\u7edf\u7684\u5173\u952e\u7279\u5f81\uff0c\u800c\u6df1\u5ea6\u5b66\u4e60\u7684\u6bcf\u4e00\u5c42\u4e5f\u662f\u63d0\u53d6\u7279\u5f81\u7684\u8fc7\u7a0b<\/strong>\uff0c\u5e76\u4e14\u4e0d\u540c\u5c42\u7684\u7279\u5f81\u4e5f\u6709\u5c3a\u5ea6\u7684\u542b\u4e49\uff0c\u8d8a\u662f\u6d45\u5c42\u7684\u795e\u7ecf\u7f51\u7edc\u7f16\u7801\u7684\u662f\u5c0f\u5c3a\u5ea6\u7684\u7279\u5f81\uff0c\u8d8a\u662f\u6df1\u5c42\u5219\u7f16\u7801\u7684\u5c31\u662f\u5927\u5c3a\u5ea6\u7684\u7279\u5f81\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u6587\u7ae0[2]\u9996\u6b21\u660e\u786e\u6307\u51fa\u4e86\u8fd9\u79cd\u8054\u7cfb\uff0c\u5e76\u4e14\u5c1d\u8bd5\u6784\u9020\u4e00\u4e2a\u57fa\u4e8e\u53d7\u9650\u73bb\u5c14\u5179\u66fc\u673a<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Restricted Boltzmann Machine\uff0c\u4e0b\u6587\u7b80\u79f0 RBM) <\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u7684\u795e\u7ecf\u7f51\u7edc\u67b6\u6784\uff0c\u5efa\u7acb\u4e86 Ising \u6a21\u578b Kadanoff \u7684\u5757\u7c97\u7c92\u5316\u548c\u795e\u7ecf\u7f51\u7edc\u5728\u89e3\u6790\u4e0a\u7684\u7cbe\u786e\u6620\u5c04\uff0c\u8bc1\u660e\u4e86\u6df1\u5ea6\u5b66\u4e60\u7b97\u6cd5\u53ef\u80fd\u786e\u5b9e\u662f\u5728\u7528\u7c7b\u4f3c\u4e8e\u91cd\u6574\u5316\u6d41\u7684\u6a21\u5f0f\u4ece\u6570\u636e\u4e2d\u63d0\u53d6\u7279\u5f81\u3002\u8fd9\u5bf9\u4e8e\u7406\u89e3\u6df1\u5ea6\u5b66\u4e60\u7684\u8fd0\u4f5c\u673a\u5236\u6709\u5f88\u5927\u7684\u542f\u53d1\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<blockquote data-type=\"quote_container\">\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(136, 136, 136);\">[1] Bradde, Serena, and William Bialek. &#8220;Pca meets rg.&#8221;&nbsp;<em>Journal of statistical physics<\/em>&nbsp;167 (2017): 462-475.<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(136, 136, 136);\">[2] Mehta, Pankaj, and David J. Schwab. An exact mapping between the variational renormalization group and deep learning.&nbsp;<em>arXiv preprint arXiv:1410.3831<\/em>&nbsp;(2014).<\/span><\/section>\n<\/blockquote>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">[3]\u662f\u5bf9\u4e0a\u7bc7\u6587\u7ae0\u76f4\u63a5\u7684\u63a8\u8fdb\u2014\u2014\u5c3d\u7ba1\u4e2d\u95f4\u8fc7\u4e866\u5e74\u3002\u8fd9\u7bc7\u6587\u7ae0\u540c\u6837\u4f7f\u7528RBM\u7ed3\u6784\u590d\u73b0\u4e86Ising\u6a21\u578b\u7684\u91cd\u6574\u5316\u6d41\uff0c\u751a\u81f3\u80fd\u5728\u6570\u503c\u4e0a\u627e\u5230\u5404\u79cd\u4e34\u754c\u6307\u6570\u3002\u8fd9\u8ba9\u91cd\u6574\u5316\u548c\u673a\u5668\u5b66\u4e60\u7684\u5bf9\u5e94\u66f4\u4e3a\u660e\u786e\uff0c\u4e5f\u66f4\u8d34\u8fd1\u5177\u4f53\u7684\u5e94\u7528\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<blockquote data-type=\"quote_container\">\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(136, 136, 136);\">[3] Koch, Ellen De Mello, Robert De Mello Koch, and Ling Cheng. Is deep learning a renormalization group flow?.&nbsp;<em>IEEE Access<\/em>&nbsp;8 (2020): 106487-106505.<\/span><\/section>\n<\/blockquote>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u4e0e\u6b64\u7c7b\u63a2\u7d22\u5bf9\u5e94\u7684\u8fd8\u6709\u4e00\u7c7b\u6587\u732e[4,5]\uff0c\u5219\u76f4\u63a5\u7814\u7a76\u8bad\u7ec3\u597d\u7684RBM\u6709\u4ec0\u4e48\u6837\u7684\u7279\u5f81\uff0c\u53d1\u73b0\u4e86\u6240\u8c13\u7684RBM\u7684\u91cd\u6574\u5316\u6d41<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08RG flow\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\uff0c\u5e76\u4e14\u5f97\u51fa\u7ed3\u8bba\u8bf4RBM\u7684<strong>\u7a33\u5b9a\u4e0d\u52a8\u70b9<\/strong>\u5c31\u662f\u4e00\u4e2a non-trivel \u7684\u4e34\u754c\u70b9\u3002\u8fd9\u4e2a\u56fe\u50cf\u548cIsing model\u63cf\u8ff0\u7684\u56fe\u50cf\u6070\u597d\u76f8\u53cd<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Ising\u7684\u4e34\u754c\u70b9\u662f\u4e0d\u7a33\u5b9a\u7684\u4e0d\u52a8\u70b9\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\uff0c\u80cc\u540e\u7684\u539f\u7406\u975e\u5e38\u503c\u5f97\u8fdb\u4e00\u6b65\u63a2\u7a76\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<blockquote data-type=\"quote_container\">\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(136, 136, 136);\">[4] Iso S, Shiba S, Yokoo S. Scale-invariant feature extraction of neural network and renormalization group flow.&nbsp;<em>Phys Rev E<\/em>. 2018;97(5):1-16. doi:10.1103\/PhysRevE.97.053304,<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(136, 136, 136);\">[5] Funai SS, Giataganas D. Thermodynamics and feature extraction by machine learning.&nbsp;<em>Phys Rev Res<\/em>. 2020;2(3):1-11. doi:10.1103\/PhysRevResearch.2.033415<\/span><\/section>\n<\/blockquote>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u8bf8\u5982\u6b64\u7c7b\u7684\u7814\u7a76\u90fd\u975e\u5e38\u6709\u8da3\uff0c\u5173\u6ce8\u7684\u95ee\u9898\u6838\u5fc3\u5176\u5b9e\u662f\u5982\u4f55\u7528\u7edf\u8ba1\u7269\u7406\u7684\u89c6\u89d2\u66f4\u597d\u5730\u7406\u89e3\u795e\u7ecf\u7f51\u7edc\u7684\u8868\u5f81\u3002\u4e0d\u8fc7\u8fd9\u7c7b\u63a2\u7d22\u5f80\u5f80\u5c40\u9650\u4e8e\u67d0\u4e00\u7279\u5b9a\u7684\u795e\u7ecf\u7f51\u7edc\u6846\u67b6\uff0c\u901a\u5e38\u8fd9\u4e2a\u67b6\u6784\u5c31\u662fRBM\uff0c\u56e0\u4e3a\u8fd9\u4e2a\u6846\u67b6\u51e0\u4e4e\u5c31\u662f\u4e3a\u4e86\u548c\u7edf\u8ba1\u7269\u7406\u5bf9\u5e94\u800c\u8bbe\u8ba1\u7684\u3002\u8fd9\u65e0\u8bba\u5bf9\u4e8e\u89e3\u51b3\u5177\u4f53\u95ee\u9898\uff0c\u8fd8\u662f\u5bf9\u7edf\u8ba1\u7269\u7406\u672c\u8eab\u7406\u8bba\u7684\u8fdb\u5c55\u800c\u8a00\uff0c\u5728\u79d1\u5b66\u5c42\u9762\u5176\u5b9e\u90fd\u5e76\u6ca1\u6709\u7279\u522b\u672c\u8d28\u7684\u63a8\u8fdb\u3002\u5c31\u597d\u50cf\u662f\u7269\u7406\u5b66\u5bb6\u4eec\u628aRBM\u5f53\u505a\u4e00\u4e2a\u73a9\u5177\u4e00\u6837\u53cd\u590d\u628a\u73a9\uff0c\u867d\u7136\u4e5f\u6709\u5bf9\u4e8e\u4e34\u754c\u6307\u6570\u8ba1\u7b97\u7684\u5c1d\u8bd5\uff0c\u4f46\u53d7\u9650\u4e8eRBM\u7684\u7ed3\u6784\uff0c\u59cb\u7ec8\u6ca1\u6709\u5728\u66f4\u590d\u6742\u7684\u7cfb\u7edf\u4e2d\u8fdb\u4e00\u6b65\u5e94\u7528\uff0c\u6240\u4ee5\u548c\u73b0\u5b9e\u8fd8\u662f\u6709\u4e00\u6bb5\u8ddd\u79bb\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u5176\u5b9e\u9664\u4e86RBM\u8fd9\u4e00\u4f20\u7edf\u7684\u7ed3\u6784\u4e4b\u5916\uff0cCNN\uff0c\u5f20\u91cf\u7f51\u7edc\uff0c\u751a\u81f3\u5404\u7c7b\u751f\u6210\u6a21\u578b\u90fd\u6709\u548cRG\u7ed3\u5408\u7684\u6f5c\u529b\u3002\u6211\u4eec\u66f4\u9700\u8981\u56de\u7b54\u7684\u5e94\u8be5\u662f\uff0c\u8fd9\u79cd\u7ed3\u5408\u53ef\u4ee5\u6709\u4ec0\u4e48\u6837\u7684\u5b9e\u9645\u5e94\u7528\uff0c\u6216\u8005\u5bf9\u4e8e\u589e\u5f3a\u795e\u7ecf\u7f51\u7edc\u7684\u80fd\u529b\u6709\u4ec0\u4e48\u6837\u7684\u5e2e\u52a9\u3002\u8fd9\u5c31\u6709\u4e86\u4e0b\u6587\u4ecb\u7ecd\u7684\u53e6\u4e00\u7c7b\u7684\u6587\u7ae0\uff0c\u5c1d\u8bd5\u4f7f\u7528RG\u7406\u8bba\u4f5c\u4e3a\u795e\u7ecf\u7f51\u7edc\u8bbe\u8ba1\u7684\u5148\u9a8c\u77e5\u8bc6\uff0c\u771f\u6b63\u7528\u4e8e\u89e3\u51b3\u5b9e\u9645\u95ee\u9898\uff0c\u6216\u8005\u771f\u6b63\u80fd\u591f\u5bf9\u7269\u7406\u7406\u8bba\u8d77\u5230\u5b9e\u8d28\u6027\u7684\u5e2e\u52a9\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<h3 style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"font-size: 15px;\">Machine Learning for Renormalization Group<\/span><\/strong><\/span><\/h3>\n<section style=\"margin-bottom: 0px;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u8fd9\u7c7b\u6587\u7ae0\u6700\u7ecf\u5178\u7684\u5c31\u662f18\u5e74\u53d1\u5728 <em>Nature Physics<\/em> \u4e0a\u57fa\u4e8e\u4fe1\u606f\u8bba\u505a\u91cd\u6574\u5316\u7684\u5de5\u4f5c[6]\u3002\u6587\u7ae0\u7684\u52a8\u673a\u662f\u5e0c\u671b\u4f7f\u7528\u6570\u636e\u9a71\u52a8\u7684\u65b9\u5f0f\u81ea\u52a8\u6784\u9020\u7c97\u7c92\u5316\u7b56\u7565\uff0c\u4ece\u800c\u5bf9\u7cfb\u7edf\u5b9e\u73b0\u91cd\u6574\u5316\u3002\u800c\u5b9e\u73b0\u8fd9\u4e00\u76ee\u6807\u7684\u624b\u6bb5\u5c31\u662f\u7ea6\u675f\u7cfb\u7edf\u5728\u7c97\u7c92\u5316\u540e\uff0c\u5b8f\u89c2\u53d8\u91cf\u4e0e\u539f\u6765\u7cfb\u7edf\u7684\u201c\u73af\u5883\u53d8\u91cf\u201d\u7684\u4e92\u4fe1\u606f\u6700\u5927\uff0c\u800c\u6ca1\u6709\u5176\u4ed6\u4efb\u4f55\u7684\u5148\u9a8c\u77e5\u8bc6\u3002\u8fd9\u91cc\u7684\u201c\u73af\u5883\u53d8\u91cf\u201d\u53ef\u4ee5\u7406\u89e3\u4e0d\u53c2\u4e0e\u5f53\u524d\u5c40\u90e8\u7684\u5b9e\u7a7a\u95f4\u5757\u91cd\u6574\u5316\u7684\u5176\u4ed6\u53d8\u91cf\u3002\u6700\u7ec8\uff0c\u795e\u7ecf\u7f51\u7edc\u5b66\u4e60\u51fa\u7684\u5b8f\u89c2\u53d8\u91cf\u5c31\u662f\u6709\u5173\u7684\u53d8\u91cf<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08relevant variable\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u3002\u8fd9\u548cRG\u7684\u56fe\u50cf\u4e00\u81f4\uff0c\u5e76\u4e14\u7528\u8fd9\u79cd\u65b9\u5f0f\u4e5f\u80fd\u5f97\u5230\u4e34\u754c\u6307\u6570\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<blockquote class=\"js_blockquote_wrap\" data-type=\"2\" data-url=\"\" data-author-name=\"\" data-content-utf8-length=\"139\" data-source-title=\"\" data-text=\"[6]Koch-Janusz M, Ringel Z. Mutual information, neural networks and the renormalization group.&nbsp;Nat Phys. 2018;14(6):578-582. doi:10.1038\/s41567-018-0081-4\" data-editid=\"rd5yugdzytqja68m4g\">\n<section class=\"js_blockquote_digest\">\n<section style=\"text-align: left;\"><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">[6]Koch-Janusz M, Ringel Z. Mutual information, neural networks and the renormalization group.&nbsp;<em>Nat Phys<\/em>. 2018;14(6):578-582. doi:10.1038\/s41567-018-0081-4<\/span><\/section>\n<\/section>\n<\/blockquote>\n<section style=\"margin-bottom: 0px;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u968f\u540e\u53d1\u8868\u5728PRX\u4e0a\u7684\u5de5\u4f5c[7]\u66f4\u662f\u4ece\u7406\u8bba\u5c42\u9762\u4e25\u683c\u63a8\u5bfc\u4e86\u8fd9\u79cd\u57fa\u4e8e\u4fe1\u606f\u8bba\u7684\u7c97\u7c92\u5316\u7684\u89e3\u6790\u5f62\u5f0f\uff0c\u4e3a\u91cd\u6574\u5316\u7b56\u7565\u7684\u6784\u5efa\u63d0\u4f9b\u4e86\u975e\u5e38\u6709\u4ef7\u503c\u7684\u539f\u5219\uff0c\u4f7f\u5f97\u7269\u7406\u5b66\u5bb6\u4eec\u6709\u5e0c\u671b\u6446\u8131\u53ea\u80fd\u4f9d\u8d56\u4e8e\u5148\u9a8c\u77e5\u8bc6\u6216\u8005\u7075\u611f\u5bf9\u7cfb\u7edf\u4eba\u5de5\u8bbe\u8ba1\u7c97\u7c92\u5316\u89c4\u5219\u7684\u5c40\u9650&nbsp;<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;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;letter-spacing: 0.034em;\">\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<blockquote class=\"js_blockquote_wrap\" data-type=\"2\" data-url=\"\" data-author-name=\"\" data-content-utf8-length=\"175\" data-source-title=\"\" data-text=\"[7]. &nbsp;Lenggenhager PM, G\u00f6kmen DE, Ringel Z, Huber SD, Koch-Janusz M. Optimal renormalization group transformation from information theory.&nbsp;Phys Rev X. 2020;10(1):1-27. doi:10.1103\/PhysRevX.10.011037\" data-editid=\"bdlnt478yz1em4r28\">\n<section class=\"js_blockquote_digest\">\n<section style=\"text-align: left;\"><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">[7]. &nbsp;Lenggenhager PM, G\u00f6kmen DE, Ringel Z, Huber SD, Koch-Janusz M. Optimal renormalization group transformation from information theory.&nbsp;<em>Phys Rev X<\/em>. 2020;10(1):1-27. doi:10.1103\/PhysRevX.10.011037<\/span><\/section>\n<\/section>\n<\/blockquote>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u66f4\u8fdb\u4e00\u6b65\uff0c\u738b\u78ca\u548c\u5c24\u4ea6\u5e84\u8001\u5e08\u7684\u5de5\u4f5c\u5219\u662f\u63d0\u51fa\u6700\u5c0f\u5316\u5168\u606f\u4e92\u4fe1\u606f\u7684\u539f\u7406[8]\uff0c\u5373\u6bcf\u6b21\u6254\u6389\u7684\u4fe1\u606f\u4e4b\u95f4\u4e92\u4fe1\u606f\u662f\u6700\u5c0f\u7684\uff0c\u8fd9\u6837\u540c\u6837\u80fd\u4fdd\u7559\u7cfb\u7edf\u6709\u5173\u7684\u4fe1\u606f\uff0c\u672c\u8d28\u4e0a\u662f\u5bf9\u524d\u6587\u73af\u5883\u4e92\u4fe1\u606f\u6700\u5927\u5316\u7684\u6269\u5c55\u3002\u5e76\u4e14\u66f4fancy\u7684\u662f\uff0c\u4ed6\u4eec\u5f15\u5165\u4e86\u53ef\u9006\u795e\u7ecf\u7f51\u7edc<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Invertible Neural Network\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\uff0c\u4f7f\u5f97\u91cd\u6574\u5316\u8fc7\u7a0b\u6269\u5c55\u6210\u4e86\u4e00\u4e2a\u771f\u6b63\u7684\u7fa4\u64cd\u4f5c\u2014\u2014\u800c\u4e0d\u662f\u4f20\u7edf\u91cd\u6574\u5316\u7684\u534a\u7fa4\u64cd\u4f5c\u3002\u8fd9\u5c31\u4f7f\u5f97\u5b66\u4e60\u51fa\u7684\u795e\u7ecf\u7f51\u7edc\u672c\u8d28\u4e0a\u6784\u6210\u4e86\u4e00\u4e2a\u751f\u6210\u6a21\u578b\uff1a\u4e0d\u4ec5\u53ef\u4ee5\u7c7b\u4f3c\u4f20\u7edf\u91cd\u6574\u5316\u7684\u65b9\u5f0f\u63d0\u53d6\u5173\u952e\u53d8\u91cf\uff0c\u8fd8\u80fd\u5b9e\u73b0\u201c\u9006\u91cd\u6574\u5316\u201d\u91cd\u65b0\u91c7\u6837\u51fa\u539f\u6765\u5c3a\u5ea6\u7684\u6784\u578b\u3002\u8fd9\u79cd\u5efa\u6a21\u7684\u597d\u5904\u662f\uff0c\u795e\u7ecf\u7f51\u7edc\u7684\u6bcf\u4e00\u5c42\u8868\u5f81\u90fd\u53ef\u4ee5\u5bf9\u5e94\u5230\u5b9e\u9645\u7684\u7269\u7406\u542b\u4e49\u3002\u8fd9\u7bc7\u6587\u7ae0\u7684\u540e\u7eed\u66f4\u591a\u7684\u662f\u5728\u63a2\u8ba8\u5c06\u8fd9\u79cd\u6846\u67b6\u5e94\u7528\u4e8e\u5b9e\u9645\u7684\u4efb\u52a1\u65f6[9]\uff0c\u6bd4\u4f20\u7edf\u7684\u65b9\u6cd5\u4f1a\u66f4\u5177\u6709\u54ea\u4e9b\u53ef\u89e3\u91ca\u6027\u3002\u76ee\u524d\u8fd8\u5e76\u6ca1\u6709\u5728\u7406\u8bba\u5c42\u9762\u8fdb\u4e00\u6b65\u5c55\u5f00\u5206\u6790\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section>\n<blockquote style=\"outline: 0px;color: var(--weui-FG-1);visibility: visible;\">\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">[8] Hu HY, Li SH, Wang L, You YZ. Machine learning holographic mapping by neural network renormalization group.&nbsp;<em>Phys Rev Res<\/em>. 2020;2(2):23369. doi:10.1103\/PhysRevResearch.2.023369<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">[9]Sheshmani A, You Y zhuang, Fu W, Azizi A. Categorical representation learning and RG flow operators for algorithmic classifiers.&nbsp;<em>Mach Learn Sci Technol<\/em>. 2023;4:20.<\/span><\/section>\n<\/blockquote>\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;text-align: left;margin-bottom: 0px;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;text-align: left;margin-bottom: 0px;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;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;letter-spacing: 0.034em;text-align: justify;\">\u53e6\u5916\uff0c\u5c24\u4ea6\u5e84\u8001\u5e08\u56e2\u961f\u8fd8\u6709\u4e00\u4e2a\u6709\u8da3\u7684\u5de5\u4f5c[10]\uff0c\u4ed6\u4eec\u8bbe\u8ba1\u4e86\u4e00\u4e2a\u81ea\u8bad\u7ec3\u7684\u6846\u67b6\uff0c\u53ea\u8981\u7ed9\u5b9a\u7cfb\u7edf\u7684\u5bf9\u79f0\u6027\u800c\u4e0d\u7528\u7ed9\u51fa\u5177\u4f53\u7684\u6a21\u62df\u6570\u636e\uff0c\u5c31\u53ef\u4ee5\u81ea\u52a8\u53d1\u73b0\u7cfb\u7edf\u7684\u666e\u9002\u7c7b\u3002\u57fa\u672c\u7684\u601d\u8def\u662f\u6784\u5efa\u4e00\u4e2a\u201c\u7ec6\u7c92\u5ea6\u201d\u7684\u6a21\u578b\u548c\u4e00\u4e2a\u201c\u7c97\u7c92\u5ea6\u201d\u7684\u6a21\u578b\uff0c\u8ba9\u7c97\u7c92\u5ea6\u6a21\u578b\u5c3d\u53ef\u80fd\u751f\u6210\u548c\u7ec6\u7c92\u5ea6\u6a21\u578b\u76f8\u4f3c\u7684\u6784\u578b\uff0c\u8fd9\u4e00\u8fc7\u7a0b\u6a21\u62df\u4e86\u91cd\u6574\u5316\u8fc7\u7a0b\u7cfb\u7edf\u7684\u53d8\u5316\uff0c\u5e76\u4e14\u518d\u4f7f\u7528\u7b2c\u4e09\u4e2a\u6a21\u578b\u4f5c\u4e3a\u91cd\u6574\u5316\u65b9\u7a0b\u5b66\u4e60\u5668\uff0c\u5b66\u4e60\u4e0a\u8ff0\u4e24\u4e2a\u7cfb\u7edf\u53c2\u6570\u7684\u52a8\u529b\u5b66\u5173\u7cfb\u3002\u4e09\u4e2a\u6a21\u578b\u4e00\u8d77\u8fd0\u8f6c\u8d77\u6765\u540e\uff0c\u5c31\u53ef\u4ee5\u5efa\u6a21\u51fa\u5bf9\u5e94\u5bf9\u79f0\u6027\u7cfb\u7edf\u7684\u91cd\u6574\u5316\u65b9\u7a0b\uff0c\u4ee5\u53ca\u5bf9\u5e94\u7684\u4e34\u754c\u6307\u6570\u3002<\/span><\/section>\n<\/section>\n<blockquote class=\"js_blockquote_wrap\" data-type=\"2\" data-url=\"\" data-author-name=\"\" data-content-utf8-length=\"139\" data-source-title=\"\" data-text=\"[10]Hou W, You YZ. Machine Learning Renormalization Group for Statistical Physics.&nbsp;arXiv Prepr. Published online 2023:1-13. http:\/\/arxiv.org\/abs\/2306.11054\" data-editid=\"w631p6jd02mnkzsfeo\">\n<section class=\"js_blockquote_digest\">\n<section style=\"text-align: left;\"><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">[10]Hou W, You YZ. Machine Learning Renormalization Group for Statistical Physics.&nbsp;<em>arXiv Prepr<\/em>. Published online 2023:1-13. http:\/\/arxiv.org\/abs\/2306.11054<\/span><\/section>\n<\/section>\n<\/blockquote>\n<p><br  \/><\/p>\n<h3 style=\"outline: 0px;font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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;white-space: normal;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;text-align: right;font-size: 13px;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;outline: 0px;letter-spacing: 0.544px;text-align: center;\">\n<section style=\"outline: 0px;display: inline-block;vertical-align: middle;\">\n<section style=\"margin-bottom: -2px;outline: 0px;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;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;clear: both;line-height: 0;\">\n<section style=\"outline: 0px;line-height: 0;width: 0px;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;outline: 0px;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;\">\n<p style=\"outline: 0px;\"><strong style=\"outline: 0px;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);letter-spacing: 0.544px;\"><span style=\"outline: 0px;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;caret-color: rgb(89, 89, 89);\"><strong style=\"outline: 0px;color: rgb(61, 170, 214);letter-spacing: 0.578px;\">3. \u975e\u5e73\u8861\u6001\u7cfb\u7edf\u7684\u591a\u5c3a\u5ea6\u5efa\u6a21<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;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;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u4e0d\u8fc7\uff0c\u7531\u4e8e\u91cd\u6574\u5316\u7406\u8bba\u672c\u8eab\u4e3b\u8981\u8fd8\u662f\u5728\u5e73\u8861\u7cfb\u7edf\u4e2d\u6709\u5f88\u591a\u51fa\u5f69\u7684\u5206\u6790\uff0c\u5230\u8fd9\u91cc\u4e3a\u6b62\u6211\u4eec\u8ba8\u8bba\u7684\u4e5f\u4e3b\u8981\u90fd\u662f\u5173\u4e8e\u5e73\u8861\u6001\u6a21\u578b\u7684\u91cd\u6574\u5316\u3002\u8fd9\u4e00\u65b9\u9762\u662f\u56e0\u4e3a\uff0c\u5bf9\u4e8e\u975e\u5e73\u8861\u6001\u7cfb\u7edf\uff0c\u95ee\u9898\u7684\u590d\u6742\u7a0b\u5ea6\u4e0a\u5347\u4e86\u4e0d\u6b62\u4e00\u4e2a\u6c34\u5e73\uff0c\u5176\u5b9e\u5230\u76ee\u524d\u4e3a\u6b62\u4f9d\u7136\u6ca1\u6709\u4ec0\u4e48\u597d\u7684\u5206\u6790\u624b\u6cd5\u80fd\u591f\u5f97\u51fa\u548c\u5e73\u8861\u6001\u7c7b\u4f3c\u7684\u7edf\u4e00\u7406\u8bba\u3002\u800c\u590d\u6742\u7cfb\u7edf\u66f4\u591a\u7684\u7814\u7a76\u5bf9\u8c61\u5176\u5b9e\u662f\u52a8\u529b\u5b66\u7cfb\u7edf\uff0c\u8fd9\u7c7b\u7cfb\u7edf\u5f80\u5f80\u90fd\u662f\u5904\u4e8e\u975e\u5e73\u8861\u6001\u3002\u53e6\u5916\uff0c\u975e\u5e73\u8861\u6001\u7684\u5206\u6790\u9664\u4e86\u7f3a\u4e4f\u5b8c\u5584\u7684\u57fa\u7840\u7406\u8bba\u4e4b\u5916\uff0c\u4e5f\u6ca1\u6709\u50cf Ising model \u8fd9\u6837\u7814\u7a76\u7684\u975e\u5e38\u900f\u5f7b\u7684\u7ecf\u5178\u7cfb\u7edf\u4f5c\u4e3atoy model\u4f9b\u79d1\u5b66\u5bb6\u4eec\u628a\u73a9\uff0c\u6240\u4ee5\u91cd\u6574\u5316\u76f8\u5173\u7684\u5de5\u4f5c\u5e76\u4e0d\u50cf\u5e73\u8861\u6001\u7cfb\u7edf\u90a3\u6837\u4e30\u5bcc\uff0c\u66f4\u522b\u63d0\u6570\u636e\u9a71\u52a8\u76f8\u5173\u7684\u91cd\u6574\u5316\u5efa\u6a21\u5de5\u4f5c\u4e86\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u7136\u800c\uff0c<strong>\u591a\u5c3a\u5ea6\u7684\u52a8\u529b\u5b66\u5efa\u6a21<\/strong>\u5728\u53e6\u4e00\u4e9b\u9886\u57df\u4e2d\u5374\u767e\u82b1\u9f50\u653e\u3002\u56e0\u4e3a\u4eba\u4eec\u65e9\u5c31\u610f\u8bc6\u5230\u4e86\u65e0\u8bba\u662f\u5bf9\u4e8e\u52a8\u529b\u7cfb\u7edf\u7684\u9884\u6d4b\u8fd8\u662f\u8c03\u63a7\uff0c<strong>\u4e0d\u540c\u5c3a\u5ea6\u7684\u4fe1\u606f\u786e\u5b9e\u662f\u4f1a\u53d1\u6325\u4e0d\u540c\u7684\u4f5c\u7528\uff1a\u5c0f\u5c3a\u5ea6\u7684\u9ad8\u9891\u4fe1\u606f\u5bf9\u4e8e\u77ed\u671f\u9884\u6d4b\u6709\u5e2e\u52a9\uff0c\u800c\u5927\u5c3a\u5ea6\u7684\u4f4e\u9891\u4fe1\u606f\u5219\u5728\u957f\u671f\u5efa\u6a21\u4e2d\u8d77\u5230\u5173\u952e\u4f5c\u7528<\/strong>\u3002\u4eceReduced-Order Model<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\"> (ROM)<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\uff0c\u5230 Equation-free Model <\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">(EFM)<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\uff0c\u518d\u5230\u73b0\u5728\u524d\u6cbf\u7684\u56e0\u679c\u6d8c\u73b0\u7406\u8bba<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Causal Emergence Theory\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\uff0c\u8fd9\u4e9b\u65b9\u6cd5\u90fd\u662f\u5728\u7528\u5404\u81ea\u7684\u539f\u5219\u5c1d\u8bd5\u5bf9\u4e00\u4e2a\u52a8\u529b\u7cfb\u7edf\u8fdb\u884c\u964d\u7ef4\u6216\u8005\u7b80\u5316\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u800c\u5229\u7528\u6570\u636e\u9a71\u52a8\u7684\u65b9\u6cd5\u5bf9\u52a8\u529b\u7cfb\u7edf\u8fdb\u884c\u964d\u7ef4\u7684\u5de5\u4f5c\uff0c\u8fd1\u5e74\u6765\u5728\u5b66\u672f\u754c\u4e5f\u6709\u767e\u82b1\u9f50\u653e\u4e4b\u611f\u3002\u9648\u6653\u677e\u8001\u5e08\u56e2\u961f\u5f00\u53d1\u7684<a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247632660&amp;idx=1&amp;sn=8435181cf6499e467a5a860cc7dbcec2&amp;chksm=e8999d99dfee148f8440c644aa2c9d6be6bbc0c42a96119775875376bdbd5d2ee3a31c38d2ec&amp;scene=21#wechat_redirect\" textvalue=\"\u672c\u5f81\u5fae\u89c2\u6001\u65b9\u6cd5\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u672c\u5f81\u5fae\u89c2\u6001\u65b9\u6cd5<\/a>\u4ece\u6570\u636e\u51fa\u53d1\uff0c\u4f7f\u7528\u5947\u5f02\u503c\u5206\u89e3\u65b9\u6cd5\u5bf9\u7269\u7406\u7cfb\u7edf\u7684\u6570\u636e\u8fdb\u884c\u6a21\u5f0f\u5206\u89e3\uff0c\u5e76\u5728\u8fd9\u4e9b\u6a21\u5f0f\u4e2d\u53d1\u73b0\u4e86\u660e\u786e\u7684\u7269\u7406\u542b\u4e49[11]\uff0c\u8fd9\u5957\u65b9\u6cd5\u4e0d\u4ec5\u53ef\u4ee5\u6c42\u89e3\u7ecf\u5178\u5e73\u8861\u7cfb\u7edf\u7684\u4e34\u754c\u76f8\u53d8\u95ee\u9898\uff0c\u8fd8\u5728\u8bb8\u591a\u590d\u6742\u7cfb\u7edf<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08\u5305\u62ec\u96c6\u7fa4\u7cfb\u7edf\uff0c\u6e4d\u6d41\uff0c\u6c14\u5019\uff0c\u91d1\u878d\uff0c\u91cf\u5b50\u7b49\u7b49\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u4e2d\u90fd\u53d6\u5f97\u4e86\u7a81\u7834\u6027\u7684\u8fdb\u5c55\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<blockquote class=\"js_blockquote_wrap\" data-type=\"2\" data-url=\"\" data-author-name=\"\" data-content-utf8-length=\"169\" data-source-title=\"\">\n<section class=\"js_blockquote_digest\">\n<section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><span 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;text-align: left;text-wrap: wrap;color: rgb(136, 136, 136);letter-spacing: 0.578px;\">[11] Hu GK, Liu T, Liu MX, Chen W, Chen XS. Condensation of eigen microstate in statistical ensemble and phase transition.&nbsp;<\/span><em 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: 15px;text-align: left;text-wrap: wrap;color: rgb(136, 136, 136);letter-spacing: 0.578px;\">Sci China Physics, Mech Astron<\/em><span 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;text-align: left;text-wrap: wrap;color: rgb(136, 136, 136);letter-spacing: 0.578px;\">. 2019;62(9). doi:10.1007\/s11433-018-9353-x<\/span><\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u800c[12,13]\u7b49\u4e00\u7cfb\u5217\u7684\u5de5\u4f5c\u7ed3\u5408\u4e86\u6570\u636e\u9a71\u52a8\u7684\u65b9\u6cd5\u548cKoopman\u7b97\u5b50<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Koopman\u7b97\u5b50\u662f\u4e00\u4e2a\u5bf9\u975e\u7ebf\u6027\u52a8\u529b\u7cfb\u7edf\u7ebf\u6027\u5316\u7684\u7b97\u5b50\uff0c\u4f46\u5f88\u96be\u8ba1\u7b97\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u5b9e\u73b0\u5bf9\u52a8\u529b\u5b66\u7684\u6a21\u5f0f\u5206\u89e3<\/span><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\uff08Dynamic Mode Decomposition\uff09<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u6216\u8005\u9690\u7a7a\u95f4\u7684\u5b66\u4e60\u3002<span style=\"letter-spacing: 0.578px;text-wrap: wrap;color: rgb(63, 63, 63);\">\u8fd8\u6709\u542f\u53d1\u4e8eEFM\uff0c\u76f4\u63a5\u4f7f\u7528\u673a\u5668\u5b66\u4e60\u7684\u964d\u7ef4\u65b9\u6cd5<\/span><span style=\"letter-spacing: 0.578px;text-wrap: wrap;color: rgb(136, 136, 136);\">\uff08\u5982VAE\u7b49\uff09<\/span><span style=\"letter-spacing: 0.578px;text-wrap: wrap;color: rgb(63, 63, 63);\">\uff0c\u5c06\u7cfb\u7edf\u7684\u53d8\u91cf\u964d\u7ef4\u540e\u76f4\u63a5\u5728\u9690\u7a7a\u95f4\u5b66\u4e60\u52a8\u529b\u5b66\u2014\u2014\u8fd9\u88ab\u79f0\u4e4b\u4e3a\u6709\u6548\u52a8\u529b\u5b66<\/span><span style=\"letter-spacing: 0.578px;text-wrap: wrap;color: rgb(136, 136, 136);\">\uff08effective dynamics\uff09<\/span><span style=\"letter-spacing: 0.578px;text-wrap: wrap;color: rgb(63, 63, 63);\">\u2014\u2014\u4ece\u800c\u5b9e\u73b0\u5bf9\u7cfb\u7edf\u66f4\u597d\u7684\u9884\u6d4b[14]\u3002<\/span><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;color: rgba(0, 0, 0, 0.55);font-size: 15px;letter-spacing: 0.578px;text-wrap: wrap;line-height: 1.75em;text-align: left;\"><br  \/><\/section>\n<blockquote class=\"js_blockquote_wrap\" data-type=\"2\" data-url=\"\" data-author-name=\"\" data-content-utf8-length=\"251\" data-source-title=\"\">\n<section class=\"js_blockquote_digest\">\n<section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;color: rgba(0, 0, 0, 0.55);font-size: 15px;letter-spacing: 0.578px;text-wrap: wrap;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(136, 136, 136);\">[12] Khazaei H. A data\u2013driven approximation of the koopman operator: extending dynamic mode decomposition.&nbsp;<em>AIMS<\/em>. 2016;X(0):1-33.<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;color: rgba(0, 0, 0, 0.55);font-size: 15px;letter-spacing: 0.578px;text-wrap: wrap;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(136, 136, 136);\">[13] Lusch B, Kutz JN, Brunton SL. Deep learning for universal linear embeddings of nonlinear dynamics.&nbsp;<em>Nat Commun<\/em>. 2018;9(1). doi:10.1038\/s41467-018-07210-0<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n<blockquote class=\"js_blockquote_wrap\" data-type=\"2\" data-url=\"\" data-author-name=\"\" data-content-utf8-length=\"179\" data-source-title=\"\">\n<section class=\"js_blockquote_digest\">\n<section>\n<section style=\"margin-right: 8px;margin-left: 8px;letter-spacing: 0.578px;text-wrap: wrap;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(136, 136, 136);\">[14] Vlachas PR, Arampatzis G, Uhler C, Koumoutsakos P. Multiscale simulations of complex systems by learning their effective dynamics.&nbsp;<em>Nat Mach Intell<\/em>. 2022;4(4):359-366. doi:10.1038\/s42256-022-00464-w<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u53e6\u5916\uff0c\u5f3a\u5316\u5b66\u4e60\u9886\u57df\u4e2d\u57fa\u4e8e\u6a21\u578b\u5b66\u4e60\u7684 <a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247684718&amp;idx=1&amp;sn=480e3fc23427a47730d3bb216582d661&amp;chksm=e89948e3dfeec1f5d252bd8bfc79f7a623174e9f4b2e2c22ebb0238ec0810bfdf7ff00c0d371&amp;scene=21#wechat_redirect\" textvalue=\"world models\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener noreferrer\">world models<\/a> \u76f8\u5173\u7684\u6982\u5ff5\uff0c\u50cf\u662f\u4ece\u81ea\u5df1\u7684\u4e16\u754c\u89c2\u4e2d\u5f00\u8f9f\u51fa\u4e86\u4e00\u4e2a\u65b0\u7684\u4f46\u662f\u975e\u5e38\u7c7b\u4f3c\u7684\u60f3\u6cd5[15]\uff1a\u5c1d\u8bd5\u5c06\u548c\u4e3b\u4f53\u4e92\u52a8\u7684\u73af\u5883\u7528\u4e00\u4e2a\u4f4e\u7ef4\u7684\u6a21\u578b\u6765\u8868\u793a\uff0c\u4ece\u800c\u63d0\u9ad8\u9884\u6d4b\u548c\u63a7\u5236\u4efb\u52a1\u7684\u6548\u7387\uff0c\u4e5f\u5df2\u7ecf\u6210\u4e3a\u8fd9\u4e2a\u9886\u57df\u975e\u5e38\u524d\u6cbf\u7684\u8bdd\u9898\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);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=\"624\" data-imgfileid=\"100204433\" data-ratio=\"0.7959183673469388\"  data-type=\"png\" data-w=\"784\" data-width=\"784\" style=\"width: 415px;height: auto !important;\" src=\"\/wp-content\/uploads\/2024\/04\/wxsync-2024-04-54555254cfbb46f9dcef8494a01fd036.png\"  \/><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;text-align: center;line-height: 1.5em;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">\u56fe4. \u6211\u4eec\u7528\u4e8e\u9884\u6d4b\u7684\u4fe1\u606f\u4e0d\u662f\u7cfb\u7edf\u7684\u5168\u90e8\uff0c\u800c\u53ea\u9700\u8981\u4e00\u4e2a\u7b80\u5316\u7684\u8868\u5f81<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;text-align: center;line-height: 1.5em;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\"><br  \/><\/span><\/p>\n<blockquote style=\"outline: 0px;color: var(--weui-FG-1);visibility: visible;\">\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;color: rgb(1, 1, 1);letter-spacing: 0px;line-height: 1.75;visibility: visible;text-align: left;\"><span style=\"color: rgb(136, 136, 136);letter-spacing: 0.578px;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;\">[15] Ha D. World Models. Published online 2018.<\/span><br  \/><\/p>\n<\/blockquote>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u603b\u4e4b\uff0c\u7531\u4e8e\u6211\u4eec\u53ef\u4ee5\u83b7\u53d6\u7684\u6570\u636e\u8d8a\u6765\u8d8a\u591a\uff0c\u800c\u8981\u5904\u7406\u7684\u7cfb\u7edf\u4e5f\u8d8a\u6765\u8d8a\u590d\u6742\uff0c\u4eba\u4eec\u4e5f\u5df2\u7ecf\u53d1\u73b0\u5f15\u5165\u591a\u5c3a\u5ea6\u7684\u89c6\u89d2\u5bf9\u52a8\u529b\u5b66\u5efa\u6a21\uff0c\u65e0\u8bba\u662f\u63d0\u9ad8\u8fd0\u7b97\u6548\u7387\uff0c\u8fd8\u662f\u83b7\u53d6\u5bf9\u4e8e\u6700\u7ec8\u4efb\u52a1\u7684\u5173\u952e\u4f4e\u7ef4\u53d8\u91cf\u90fd\u5341\u5206\u91cd\u8981\uff0c\u8fd9\u7c7b\u65b9\u6cd5\u7684\u601d\u60f3\u4e5f\u5728\u9010\u6e10\u6210\u4e3a\u89e3\u51b3\u5b9e\u9645\u590d\u6742\u95ee\u9898\u7684\u4e3b\u6d41\u3002\u800c\u8fd9\u4e9b\u9886\u57df\u7684\u8d77\u6e90\u4e4d\u4e00\u770b\u548c\u91cd\u6574\u5316\u6beb\u65e0\u5173\u8054\uff0c\u5374\u6b8a\u9014\u540c\u5f52\uff0c\u7528\u53e6\u4e00\u79cd\u65b9\u5f0f\u6765\u5230\u4e86\u76f8\u4f3c\u7684\u95ee\u9898\u4e0a\u3002\u751a\u81f3\u56e0\u4e3a\u6ca1\u6709\u5f88\u5f3a\u7684\u7406\u8bba\u7ea6\u675f\uff0c\u4f7f\u5f97\u8fd9\u4e9b\u65b9\u6cd5\u6709\u65f6\u5019\u5728\u4f7f\u7528\u65f6\u770b\u4e0a\u53bb\u5341\u5206\u201c\u7b80\u5355\u7c97\u66b4\u201d\uff0c\u4f46\u5374\u795e\u5947\u5730\u5728\u5404\u4e2a\u9886\u57df\u6e17\u900f\uff0c\u6210\u4e3a\u8fd9\u4e9b\u9886\u57df\u89e3\u51b3\u95ee\u9898\u7684\u91cd\u8981\u601d\u8def\u3002\u8fd9\u4e9b\u76f8\u5173\u7684\u8bdd\u9898\u96c6\u667a\u4ff1\u4e50\u90e8\u56e0\u679c\u6d8c\u73b0\u7cfb\u5217\u8bfb\u4e66\u4f1a\uff0c<a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247659349&amp;idx=1&amp;sn=5e0bcad718d122a04e1b34a8bf94f906&amp;chksm=e89935d8dfeebcceb72a61c9c7602a6042eefad7bf106147d81c3110e04c6f61fbde5214aec9&amp;scene=21#wechat_redirect\" textvalue=\"AI+Science\u8bfb\u4e66\u4f1a\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener noreferrer\">AI+Science\u8bfb\u4e66\u4f1a<\/a>\u4e2d\u4e0a\u6709\u5927\u91cf\u76f8\u5173\u7684\u8d44\u6599\u53ef\u4ee5\u4f9b\u5927\u5bb6\u5b66\u4e60\u548c\u53c2\u8003\uff0c\u5373\u5c06\u5f00\u59cb\u7684<a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247687960&amp;idx=1&amp;sn=97d99347590e621c2fbe1f9f647e929f&amp;chksm=e8994595dfeecc83856435bc9906db11db930f6397fa75dbf031970fc9daa4696f1211059ef2&amp;scene=21#wechat_redirect\" textvalue=\"\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u7b2c\u4e94\u5b63\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u7b2c\u4e94\u5b63<\/a>\u4f1a\u8fdb\u4e00\u6b65\u5411\u5927\u5bb6\u5c55\u793a\u66f4\u591a\u7684\u524d\u6cbf\u5de5\u4f5c\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<h3 style=\"outline: 0px;font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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;white-space: normal;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;text-align: right;font-size: 13px;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;outline: 0px;letter-spacing: 0.544px;text-align: center;\">\n<section style=\"outline: 0px;display: inline-block;vertical-align: middle;\">\n<section style=\"margin-bottom: -2px;outline: 0px;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;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;clear: both;line-height: 0;\">\n<section style=\"outline: 0px;line-height: 0;width: 0px;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;outline: 0px;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;\">\n<p style=\"outline: 0px;\"><strong style=\"outline: 0px;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);letter-spacing: 0.544px;\"><span style=\"outline: 0px;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;caret-color: rgb(89, 89, 89);\"><strong style=\"outline: 0px;color: rgb(61, 170, 214);letter-spacing: 0.578px;\">4. \u603b\u7ed3<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;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;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;outline: 0px;font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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: 0.578px;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><br  \/><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u672c\u6587\u4ece\u52a8\u529b\u5b66\u7684\u89c6\u89d2\u51fa\u53d1\uff0c\u5c3d\u91cf\u7528\u56fe\u50cf\u7684\u5f62\u5f0f\u4ecb\u7ecd\u4e86\u91cd\u6574\u5316\u65b9\u6cd5\u7684\u57fa\u672c\u601d\u8def\uff0c\u5e76\u4e14\u5728\u7b2c\u4e8c\u90e8\u5206\u4ecb\u7ecd\u4e86\u673a\u5668\u5b66\u4e60\u548c\u91cd\u6574\u5316\u7ed3\u5408\u7684\u524d\u6cbf\u5de5\u4f5c\u3002\u8fd9\u7c7b\u5de5\u4f5c\u5145\u6ee1\u4e86\u5947\u601d\u5999\u60f3\uff0c\u5e76\u4e14\u4e5f\u786e\u5b9e\u4e3a\u91cd\u6574\u5316\u7406\u8bba\u66f4\u5e7f\u6cdb\u548c\u66f4\u667a\u80fd\u7684\u5e94\u7528\u63d0\u4f9b\u4e86\u975e\u5e38\u597d\u7684\u89e3\u51b3\u65b9\u6848\u3002\u5728\u7b2c\u4e09\u90e8\u5206\uff0c\u6211\u7528\u975e\u5e38\u7c97\u7cd9\u7684\u89c6\u89d2\u7f57\u5217\u4e86\u52a8\u529b\u5b66\u591a\u5c3a\u5ea6\u5efa\u6a21\u7684\u5de5\u4f5c\uff0c\u5c55\u793a\u4e86\u8fd9\u4e00\u9886\u57df\u7684\u591a\u5143\u548c\u70ed\u95f9\uff0c\u800c\u8fd9\u4e00\u7c7b\u95ee\u9898\u672c\u8d28\u4e0a\u90fd\u662f\u5bf9\u975e\u5e73\u8861\u52a8\u529b\u5b66\u7cfb\u7edf\u95ee\u9898\u591a\u5c3a\u5ea6\u89e3\u51b3\u65b9\u6848\u7684\u63a2\u7d22\uff0c\u5e76\u4e14\u786e\u5b9e\u5bf9\u89e3\u51b3\u5b9e\u9645\u95ee\u9898\u63d0\u4f9b\u4e86\u975e\u5e38\u91cd\u8981\u7684\u542f\u53d1\u3002\u53e6\u5916\uff0c\u8fd8\u6709\u4e00\u4e2a\u672c\u6587\u6ca1\u6709\u63d0\u5230\uff0c\u4f46\u5bf9\u4e8e\u590d\u6742\u7cfb\u7edf\u591a\u5c3a\u5ea6\u5efa\u6a21\u6765\u8bf4\u4e5f\u975e\u5e38\u91cd\u8981\u7684\u9886\u57df\uff1a\u5373\u590d\u6742\u7f51\u7edc\u7684\u91cd\u6574\u5316\u3002\u8fd9\u7c7b\u7814\u7a76\u76f8\u5bf9\u6765\u8bf4\u66f4\u4e3a\u72ec\u7acb\uff0c\u5173\u6ce8\u5982\u4f55\u7528\u4e00\u4e2a\u66f4\u5c0f\u7684\u7f51\u7edc\u6765\u8868\u793a\u4e00\u4e2a\u5927\u7684\u590d\u6742\u7f51\u7edc\uff0c\u4ee5\u89e3\u51b3\u5927\u7f51\u7edc\u4e0a\u7684\u590d\u6742\u8ba1\u7b97\u95ee\u9898\uff0c\u540c\u6837\u4e5f\u662f\u4e00\u4e2a\u6781\u5177\u6f5c\u529b\u7684\u9886\u57df\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u4e0d\u8fc7\u65e0\u8bba\u662f\u52a8\u529b\u5b66\u591a\u5c3a\u5ea6\u5efa\u6a21\u8fd8\u662f\u590d\u6742\u7f51\u7edc\u7684\u91cd\u6574\u5316\uff0c\u5c3d\u7ba1\u5438\u5f15\u4e86\u79d1\u5b66\u5bb6\u7684\u9a7b\u8db3\uff0c\u76ee\u524d\u8fd8\u5e76\u6ca1\u6709\u51fa\u73b0\u50cf\u5e73\u8861\u6001\u91cd\u6574\u5316\u7406\u8bba\u90a3\u6837\u7684\u7edf\u4e00\u7406\u8bba\uff0c\u5e2e\u52a9\u6211\u4eec\u771f\u6b63\u8ba4\u8bc6\u590d\u6742\u7cfb\u7edf\u5185\u5728\u7684\u7edf\u4e00\u6027\u3002\u4f46\u6211\u4eec\u4f9d\u7136\u53ef\u4ee5\u76f8\u4fe1\uff0c\u5728\u4e0d\u4e45\u7684\u5c06\u6765\uff0c\u6211\u4eec\u4e5f\u80fd\u53d1\u73b0\u8fd9\u4e9b\u590d\u6742\u7cfb\u7edf\u7684\u5c9b\u5c7f\u6240\u5904\u4f55\u65b9\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section powered-by=\"xiumi.us\" style=\"margin-bottom: 0px;outline: 0px;\">\n<section style=\"padding-right: 6px;padding-left: 6px;outline: 0px;display: inline-block;width: 661px;vertical-align: top;border-left: 5px solid rgb(33, 166, 210);border-bottom-left-radius: 0px;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;\">\n<p style=\"outline: 0px;white-space: normal;\"><strong style=\"outline: 0px;\">\u4f5c\u8005\u7b80\u4ecb<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><strong><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u9676\u5982\u610f<\/span><\/strong><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\uff0c\u5317\u4eac\u5e08\u8303\u5927\u5b66\u7cfb\u7edf\u79d1\u5b66\u535a\u58eb\u5728\u8bfb\u3002\u7814\u7a76\u65b9\u5411\u4e3a\u590d\u6742\u7cfb\u7edf\u5efa\u6a21\uff0c\u5173\u6ce8\u591a\u5c3a\u5ea6\u52a8\u529b\u5b66\uff0c\u89c4\u6a21\u6cd5\u5219\uff0c\u91cd\u6574\u5316\uff0c\u6df1\u5ea6\u5b66\u4e60\u7b49\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;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;letter-spacing: 0.034em;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;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;letter-spacing: 0.034em;\">\u91cd\u6574\u5316\u7fa4\u76f8\u5173\u6587\u7ae0\uff1a<\/span><br  \/><\/section>\n<ul class=\"list-paddingleft-1\" style=\"list-style-type: circle;\">\n<li>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);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;letter-spacing: 0.034em;font-size: 15px;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247556247&amp;idx=4&amp;sn=a85a649be757f5893a0a9e7a2ff134e5&amp;chksm=e897461adfe0cf0cc43673c462527351ccafb9c5f6a70fa70a2d356a85e73cd1ae9a07940b23&amp;scene=21#wechat_redirect\" textvalue=\"\u91cd\u6574\u5316\u7fa4\uff1a\u4ece\u5fae\u89c2\u5230\u5b8f\u89c2\uff0c\u4e0d\u540c\u5c3a\u5ea6\u7684\u73b0\u8c61\u5982\u4f55\u8054\u7cfb\u8d77\u6765\uff1f\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u91cd\u6574\u5316\u7fa4\uff1a\u4ece\u5fae\u89c2\u5230\u5b8f\u89c2\uff0c\u4e0d\u540c\u5c3a\u5ea6\u7684\u73b0\u8c61\u5982\u4f55\u8054\u7cfb\u8d77\u6765\uff1f<\/a><br  \/><\/span><\/section>\n<\/li>\n<li>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247512578&amp;idx=1&amp;sn=07008d0d9842ed94a6877451f8710ea6&amp;chksm=e897e88fdfe06199be4d210481a9793b65d14ef3d70f742022a0cddc1b3e138e50e93aa2cbeb&amp;scene=21#wechat_redirect\" textvalue=\"\u4f0a\u8f9b\u6a21\u578b\u767e\u5e74\u5c0f\u53f2\uff1a\u6700\u7ecf\u5178\u7684\u590d\u6742\u7cfb\u7edf\u6a21\u578b\uff0c\u5374\u9669\u4e9b\u88ab\u79d1\u5b66\u754c\u9057\u5fd8\" 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;\">\u4f0a\u8f9b\u6a21\u578b\u767e\u5e74\u5c0f\u53f2\uff1a\u6700\u7ecf\u5178\u7684\u590d\u6742\u7cfb\u7edf\u6a21\u578b\uff0c\u5374\u9669\u4e9b\u88ab\u79d1\u5b66\u754c\u9057\u5fd8<\/span><\/a><br  \/><\/section>\n<\/li>\n<li>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247567965&amp;idx=1&amp;sn=2da6a91aa258a3b99ad8e7557b633259&amp;chksm=e89690d0dfe119c6434ff1339b63f68876454a1333b4033c18438bb1e66352aeda01bf3b36c1&amp;scene=21#wechat_redirect\" textvalue=\"PRL\u524d\u6cbf\uff1a\u91cd\u6574\u5316\u7fa4\u548c\u4fe1\u606f\u8bba\u7684\u5173\u8054\" 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;\">PRL\u524d\u6cbf\uff1a\u91cd\u6574\u5316\u7fa4\u548c\u4fe1\u606f\u8bba\u7684\u5173\u8054<\/span><\/a><br  \/><\/section>\n<\/li>\n<li>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247632660&amp;idx=1&amp;sn=8435181cf6499e467a5a860cc7dbcec2&amp;chksm=e8999d99dfee148f8440c644aa2c9d6be6bbc0c42a96119775875376bdbd5d2ee3a31c38d2ec&amp;scene=21#wechat_redirect\" textvalue=\"\u524d\u6cbf\u8fdb\u5c55\uff1a\u672c\u5f81\u5fae\u89c2\u6001\u7684\u91cd\u6574\u5316\u7fa4\u7406\u8bba\" 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;\">\u524d\u6cbf\u8fdb\u5c55\uff1a\u672c\u5f81\u5fae\u89c2\u6001\u7684\u91cd\u6574\u5316\u7fa4\u7406\u8bba<\/span><\/a><br  \/><\/section>\n<\/li>\n<li>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247677843&amp;idx=1&amp;sn=b45dba90a9c192f2007560c1845dccdf&amp;chksm=e8996d1edfeee4084ecf7fa10e9a26d74eca9d9060948fc4d8a18631be6cbbacd4de8ce1268f&amp;scene=21#wechat_redirect\" textvalue=\"Nature Physics\u8bc4\u8bba\uff1a\u91cd\u6574\u5316\u7fa450\u5e74\uff0c\u5e94\u7528\u4e8e\u975e\u5e73\u8861\u7cfb\u7edf\u524d\u666f\u5e7f\u9614\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"font-size: 15px;\">Nature Physics\u8bc4\u8bba\uff1a\u91cd\u6574\u5316\u7fa450\u5e74\uff0c\u5e94\u7528\u4e8e\u975e\u5e73\u8861\u7cfb\u7edf\u524d\u666f\u5e7f\u9614<\/span><\/a><br  \/><\/section>\n<\/li>\n<li>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247660499&amp;idx=1&amp;sn=1a8d437cf62efd3b8cfa3fa2e5f28406&amp;chksm=e899295edfeea0488c4fee17a2e36e7de6ce70a03c1e631b2583ef882f66e45d075798b6b9ac&amp;scene=21#wechat_redirect\" textvalue=\"\u4eba\u8138\u548c\u5b87\u5b99\u662f\u5565\u5173\u7cfb\uff1f\u770b\u7269\u7406\u5b66\u5bb6\u600e\u6837\u7528\u91cd\u6574\u5316\u7fa4\u6d41\u6a21\u578b\u91cd\u65b0\u7406\u89e3\u89c6\u89c9\" 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;\">\u4eba\u8138\u548c\u5b87\u5b99\u662f\u5565\u5173\u7cfb\uff1f\u770b\u7269\u7406\u5b66\u5bb6\u600e\u6837\u7528\u91cd\u6574\u5316\u7fa4\u6d41\u6a21\u578b\u91cd\u65b0\u7406\u89e3\u89c6\u89c9<\/span><\/a><br  \/><\/section>\n<\/li>\n<li>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247665745&amp;idx=1&amp;sn=d1eeb25bbda1f14de10ee148cc61431c&amp;chksm=e89912dcdfee9bca6aecfd975f14bcd775151f6fa5ce1b23c29b164786c3277fe97588e4e995&amp;scene=21#wechat_redirect\" textvalue=\"\u590d\u6742\u6027\u7684\u8de8\u5b66\u79d1\u5173\u8054\uff1a\u5206\u6570\u9636\u5fae\u79ef\u5206\u3001\u91cd\u6574\u5316\u7fa4\u4e0e\u673a\u5668\u5b66\u4e60\" 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;\">\u590d\u6742\u6027\u7684\u8de8\u5b66\u79d1\u5173\u8054\uff1a\u5206\u6570\u9636\u5fae\u79ef\u5206\u3001\u91cd\u6574\u5316\u7fa4\u4e0e\u673a\u5668\u5b66\u4e60<\/span><\/a><br  \/><\/section>\n<\/li>\n<\/ul>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 0px;outline: 0px;color: rgb(136, 136, 136);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;font-size: 14px;letter-spacing: 0.544px;white-space: normal;background-color: rgb(255, 255, 255);text-size-adjust: inherit;text-align: center;justify-content: center;\">\n<section style=\"outline: 0px;display: inline-block;width: auto;vertical-align: top;min-width: 10%;height: auto;box-shadow: rgb(0, 0, 0) 0px 0px 0px;border-bottom: 9px solid rgb(169, 215, 227);border-bottom-right-radius: 0px;\">\n<section powered-by=\"xiumi.us\" style=\"margin-bottom: -15px;outline: 0px;\">\n<section style=\"padding-right: 10px;padding-left: 10px;outline: 0px;color: rgb(12, 130, 169);font-size: 16px;line-height: 2;letter-spacing: 3px;\">\n<p style=\"outline: 0px;\"><strong style=\"outline: 0px;\">\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u7b2c\u4e94\u5b63\u62db\u52df\u4e2d<\/strong><br style=\"outline: 0px;\"  \/><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;outline: 0px;color: rgb(136, 136, 136);font-size: 14px;letter-spacing: 0.544px;white-space: normal;font-family: system-ui, -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;text-size-adjust: inherit;line-height: 1.75em;text-align: center;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(136, 136, 136);\">\u8de8\u5c3a\u5ea6\u3001\u8de8\u5c42\u6b21\u7684\u6d8c\u73b0\u662f\u590d\u6742\u7cfb\u7edf\u7814\u7a76\u7684\u5173\u952e\u95ee\u9898\uff0c\u751f\u547d\u8d77\u6e90\u548c\u610f\u8bc6\u8d77\u6e90\u8fd9\u4e24\u5ea7\u4ef0\u4e4b\u5f25\u9ad8\u7684\u5927\u5c71\u662f\u5176\u4ee3\u8868\u3002\u4ece2021\u5e74\u590f\u5929\u81f3\u4eca\uff0c\u96c6\u667a\u4ff1\u4e50\u90e8\u5df2\u7ecf\u9646\u7eed\u4e3e\u529e\u4e86\u56db\u5b63\u300c\u56e0\u679c\u6d8c\u73b0\u300d\u8bfb\u4e66\u4f1a\uff0c\u7cfb\u7edf\u68b3\u7406\u4e86\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u7684\u53d1\u5c55\u8109\u7edc\uff0c\u6df1\u5165\u63a2\u8ba8\u4e86\u4fe1\u606f\u6574\u5408\u4e0e\u4fe1\u606f\u5206\u89e3\u7684\u672c\u8d28\uff0c\u5e76\u63a2\u7d22\u4e86\u5728\u751f\u7269\u7f51\u7edc\u3001\u8111\u7f51\u7edc\u3001\u673a\u5668\u5b66\u4e60\u7b49\u8de8\u5b66\u79d1\u9886\u57df\u7684\u5e94\u7528\u3002\u6b64\u6b21<a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247687960&amp;idx=1&amp;sn=97d99347590e621c2fbe1f9f647e929f&amp;chksm=e8994595dfeecc83856435bc9906db11db930f6397fa75dbf031970fc9daa4696f1211059ef2&amp;scene=21#wechat_redirect\" textvalue=\"\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u7b2c\u4e94\u5b63\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u7b2c\u4e94\u5b63<\/a>\u5c06\u8ffd\u8e2a\u56e0\u679c\u6d8c\u73b0\u9886\u57df\u7684\u524d\u6cbf\u8fdb\u5c55\uff0c\u5c55\u793a\u96c6\u667a\u793e\u533a\u6210\u5458\u7684\u539f\u521b\u6027\u5de5\u4f5c\uff0c\u5e0c\u671b\u63a2\u8ba8\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u3001\u590d\u6742\u7cfb\u7edf\u7684\u4f4e\u79e9\u8868\u793a\u7406\u8bba\u3001\u672c\u5f81\u5fae\u89c2\u6001\u7406\u8bba\u4e4b\u95f4\u7684\u76f8\u901a\u4e4b\u5904\uff0c\u5bf9\u590d\u6742\u7cfb\u7edf\u7684\u6d8c\u73b0\u73b0\u8c61\u6709\u66f4\u6df1\u523b\u7684\u7406\u89e3\u3002\u8bfb\u4e66\u4f1a\u4ece2024\u5e744\u670819\u65e5\u5f00\u59cb\uff0c\u6bcf\u5468\u4e94\u665a20:00-22:00\u8fdb\u884c\uff0c\u6301\u7eed\u65f6\u95f4\u9884\u8ba18-10\u5468\u3002\u6b22\u8fce\u611f\u5174\u8da3\u7684\u670b\u53cb\u62a5\u540d\u53c2\u4e0e\uff01<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(136, 136, 136);\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247687960&amp;idx=1&amp;sn=97d99347590e621c2fbe1f9f647e929f&amp;chksm=e8994595dfeecc83856435bc9906db11db930f6397fa75dbf031970fc9daa4696f1211059ef2&amp;scene=21#wechat_redirect\" textvalue=\"\u4f60\u5df2\u9009\u4e2d\u4e86\u6dfb\u52a0\u94fe\u63a5\u7684\u5185\u5bb9\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"1\" rel=\"noopener noreferrer\"><span class=\"js_jump_icon h5_image_link\" style=\"width: 100%;\"><img class=\"rich_pages wxw-img\" data-backh=\"321\" data-backw=\"562\" data-height=\"600\" data-imgfileid=\"100204435\" data-ratio=\"0.5714285714285714\"  data-type=\"png\" data-w=\"1050\" data-width=\"1050\" style=\"width: 100%;height: auto !important;\" src=\"\/wp-content\/uploads\/2024\/04\/wxsync-2024-04-d4756bf782a24dbe34cac89ce7d4033a.png\"  \/><\/span><\/a><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;color: rgb(136, 136, 136);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;font-size: 14px;letter-spacing: 0.544px;white-space: normal;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;color: rgb(136, 136, 136);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;font-size: 14px;letter-spacing: 0.544px;white-space: normal;\"><span style=\"color: rgb(63, 63, 63);font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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: 15px;letter-spacing: 0.578px;background-color: rgb(255, 255, 255);\">\u8be6\u60c5\u8bf7\u89c1\uff1a<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;color: rgb(136, 136, 136);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;font-size: 14px;letter-spacing: 0.544px;white-space: normal;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247687960&amp;idx=1&amp;sn=97d99347590e621c2fbe1f9f647e929f&amp;chksm=e8994595dfeecc83856435bc9906db11db930f6397fa75dbf031970fc9daa4696f1211059ef2&amp;scene=21#wechat_redirect\" textvalue=\"\u835f\u8403\u590d\u6742\u7cfb\u7edf\u524d\u6cbf\u8fdb\u5c55\uff0c\u96c6\u7ed3\u56e0\u679c\u6d8c\u73b0\u5b66\u672f\u793e\u533a\uff1a\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u7b2c\u4e94\u5b63\u542f\u52a8\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" style=\"text-decoration: underline;font-size: 15px;\" rel=\"noopener noreferrer\">\u835f\u8403\u590d\u6742\u7cfb\u7edf\u524d\u6cbf\u8fdb\u5c55\uff0c\u96c6\u7ed3\u56e0\u679c\u6d8c\u73b0\u5b66\u672f\u793e\u533a\uff1a\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u7b2c\u4e94\u5b63\u542f\u52a8<\/a><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section mpa-from-tpl=\"t\">\n<section mpa-from-tpl=\"t\">\n<section data-autoskip=\"1\" mpa-from-tpl=\"t\">\n<section powered-by=\"xiumi.us\" style=\"margin-bottom: 0px;outline: 0px;letter-spacing: 0.544px;white-space: normal;color: rgb(136, 136, 136);font-size: 14px;background-color: rgb(255, 255, 255);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;\">\n<p style=\"margin-right: 8px;margin-bottom: 5px;margin-left: 8px;outline: 0px;letter-spacing: 0.544px;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;color: rgb(0, 0, 0);font-size: 16px;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;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;\"><span style=\"outline: 0px;font-size: 15px;letter-spacing: 0.544px;\">\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;outline: 0px;letter-spacing: 0.544px;\"><strong style=\"outline: 0px;\">1.&nbsp;<\/strong><span style=\"text-decoration: underline;\"><strong style=\"outline: 0px;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247579147&amp;idx=1&amp;sn=cf6250d8f66019b02ae79e4794e91957&amp;chksm=e896ec86dfe16590a55e630f06a53602ceb0814cbcc27ac465b8c86b5ec1e04bb3feadd526b1&amp;scene=21#wechat_redirect\" textvalue=\"\u6d8c\u73b0\u3001\u56e0\u679c\u4e0e\u81ea\u6307\u2014\u2014\u201c\u56e0\u679c\u6d8c\u73b0\u201d\u7406\u8bba\u80fd\u5426\u7834\u89e3\u751f\u547d\u4e0e\u610f\u8bc6\u4e4b\u8c1c\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u6d8c\u73b0\u3001\u56e0\u679c\u4e0e\u81ea\u6307\u2014\u2014\u201c\u56e0\u679c\u6d8c\u73b0\u201d\u7406\u8bba\u80fd\u5426\u7834\u89e3\u751f\u547d\u4e0e\u610f\u8bc6\u4e4b\u8c1c<\/a><\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;outline: 0px;letter-spacing: 0.544px;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;\">2.&nbsp;<\/strong><span style=\"text-decoration: underline;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247666562&amp;idx=1&amp;sn=950193668a92740553949a0fe1c3c120&amp;chksm=e899110fdfee9819a58f5e6ef9a92f1356d38235662d6faf8ec467a7290474768ec9c6c3ebec&amp;scene=21#wechat_redirect\" textvalue=\"\u63a2\u7d22\u201cAI \u5927\u7edf\u4e00\u7406\u8bba\u201d\uff1a\u79d1\u5b66\u542f\u53d1\u7684\u673a\u5668\u5b66\u4e60\u7406\u8bba\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u63a2\u7d22\u201cAI \u5927\u7edf\u4e00\u7406\u8bba\u201d\uff1a\u79d1\u5b66\u542f\u53d1\u7684\u673a\u5668\u5b66\u4e60\u7406\u8bba<\/a><\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;outline: 0px;letter-spacing: 0.544px;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;\">3.&nbsp;<\/strong><span style=\"text-decoration: underline;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247585523&amp;idx=1&amp;sn=15db7f0eb7238d1c034da151b6ed42b1&amp;chksm=e896d47edfe15d680b237d189e925f578279c530c150f46cd3d9777a15ce47fa328e67b83fbf&amp;scene=21#wechat_redirect\" textvalue=\"\u5947\u5f02\u70b9\u2014\u2014\u63cf\u8ff0\u975e\u5e73\u8861\u7cfb\u7edf\u76f8\u53d8\u7684\u6570\u5b66\u8bed\u8a00\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u5947\u5f02\u70b9\u2014\u2014\u63cf\u8ff0\u975e\u5e73\u8861\u7cfb\u7edf\u76f8\u53d8\u7684\u6570\u5b66\u8bed\u8a00<\/a><\/strong><\/span><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;outline: 0px;letter-spacing: 0.544px;\"><span style=\"outline: 0px;letter-spacing: 0.544px;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;\">4.&nbsp;<\/strong><\/span><span style=\"outline: 0px;letter-spacing: 0.544px;text-decoration: underline;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;\"><strong style=\"outline: 0px;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\" textvalue=\"\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\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" hasload=\"1\" style=\"outline: 0px;color: var(--weui-LINK);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;outline: 0px;letter-spacing: 0.544px;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;\">5.<\/strong><span style=\"outline: 0px;letter-spacing: 0.544px;text-decoration: underline;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;\">&nbsp;<strong style=\"outline: 0px;letter-spacing: 0.544px;\"><strong style=\"outline: 0px;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\" textvalue=\"\u9f99\u5e74\u5927\u8fd0\u8d77\uff0c\u5b66\u4e60\u6b63\u5f53\u65f6\uff01\u89e3\u9501\u96c6\u667a\u5168\u7ad9\u5185\u5bb9\uff0c\u5f00\u542f\u65b0\u5e74\u5b66\u4e60\u8ba1\u5212\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" hasload=\"1\" style=\"outline: 0px;color: var(--weui-LINK);cursor: pointer;\" rel=\"noopener noreferrer\">\u9f99\u5e74\u5927\u8fd0\u8d77\uff0c\u5b66\u4e60\u6b63\u5f53\u65f6\uff01\u89e3\u9501\u96c6\u667a\u5168\u7ad9\u5185\u5bb9\uff0c\u5f00\u542f\u65b0\u5e74\u5b66\u4e60\u8ba1\u5212<\/a><\/strong><\/strong><\/strong><\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 10px;margin-left: 8px;outline: 0px;letter-spacing: 0.544px;\"><strong style=\"outline: 0px;\">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\" textvalue=\"\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u200d\u590d\u6742\uff01\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" hasload=\"1\" style=\"outline: 0px;color: var(--weui-LINK);cursor: pointer;\" rel=\"noopener noreferrer\"><span style=\"outline: 0px;text-decoration: underline;\"><strong style=\"outline: 0px;\">\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/span><\/a><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 5px;margin-left: 8px;outline: 0px;\"><br style=\"outline: 0px;\"  \/><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 5px;margin-left: 8px;outline: 0px;\"><br style=\"outline: 0px;\"  \/><\/p>\n<\/section>\n<p style=\"margin-bottom: 0px;outline: currentcolor none 0px;letter-spacing: 0.544px;white-space: normal;color: rgb(136, 136, 136);font-size: 14px;background-color: rgb(255, 255, 255);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;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;font-size: 15px;text-align: left;color: rgb(255, 255, 255);font-family: PingFangSC-light;\"><span style=\"outline: 0px;background-color: rgb(12, 130, 169);\">\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c<strong style=\"outline: 0px;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);visibility: visible;\"><span style=\"outline: 0px;background-color: rgb(12, 130, 169);visibility: visible;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;visibility: visible;\">\u62a5\u540d\u8bfb\u4e66\u4f1a<\/strong><\/span><\/strong><\/span><\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<p style=\"display: none;\"><mp-style-type data-value=\"3\"><\/mp-style-type><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5bfc\u8bed \u6b63\u56e0\u4e3a\u201c\u592a\u5c0f\u7684\u7ed3\u6784\u6211\u4eec\u770b\u4e0d\u6e05\uff0c\u592a\u5927\u7684\u7ed3\u6784\u6211\u4eec\u770b\u4e0d\u5168\u201d\uff0c\u6240\u4ee5\u6211\u4eec\u9700\u8981\u4f7f\u7528\u91cd\u6574\u5316\u7684\u65b9\u6cd5\uff0c\u4e0d\u65ad\u628a\u7cfb\u7edf\u7684\u91cd\u8981\u7279\u5f81\u7a81\u51fa\uff0c\u628a\u4e0d\u91cd\u8981\u7684\u7279\u5f81\u62b9\u9664\uff0c\u6700\u7ec8\u6211\u4eec\u4f1a\u53d1\u73b0\uff0c\u6216\u8bb8\u6574\u4e2a\u4e16\u754c\u662f\u7531\u4e00\u4e2a\u4e2a\u6709\u9650\u7684\u5c9b\u5c7f\u7ec4\u6210\uff0c\u6bcf\u4e2a\u7cfb\u7edf\u90fd\u4f1a\u5c5e\u4e8e\u4e00\u4e2a\u5c9b\u5c7f\uff0c\u518d\u65e0\u5176\u4ed6\u3002\u672c\u6587\u4ece\u4f0a\u8f9b\u6a21\u578b\u7684\u91cd\u6574\u5316\u5f00\u59cb\u4ecb\u7ecd\u4e86\u91cd\u6574\u5316\u7fa4\u7406\u8bba\uff0c\u7136\u540e\u7cfb\u7edf\u68b3\u7406\u4e86\u91cd\u6574\u5316\u7fa4\u548c\u673a\u5668&#8230;<\/p>\n","protected":false},"author":0,"featured_media":49488,"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\/49497"}],"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"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=49497"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/49497\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/49488"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=49497"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=49497"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=49497"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=49497"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}