{"id":35169,"date":"2024-12-19T22:59:49","date_gmt":"2024-12-19T14:59:49","guid":{"rendered":"https:\/\/17aitech.com\/?p=35169"},"modified":"2024-12-19T22:59:49","modified_gmt":"2024-12-19T14:59:49","slug":"%e4%b8%ba%e4%bb%80%e4%b9%88%e5%ad%a6%e7%ba%bf%e4%bb%a3%e6%97%b6%e4%b8%8d%e7%9f%a5%e9%81%93%ef%bc%9a%e7%9f%a9%e9%98%b5%e4%b8%8e%e5%9b%be%e7%ab%9f%e7%84%b6%e5%ad%98%e5%9c%a8%e7%ad%89%e4%bb%b7%e5%85%b3","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=35169","title":{"rendered":"\u4e3a\u4ec0\u4e48\u5b66\u7ebf\u4ee3\u65f6\u4e0d\u77e5\u9053\uff1a\u77e9\u9635\u4e0e\u56fe\u7adf\u7136\u5b58\u5728\u7b49\u4ef7\u5173\u7cfb"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2024-08-19-6\" target=\"_blank\">\u4e3a\u4ec0\u4e48\u5b66\u7ebf\u4ee3\u65f6\u4e0d\u77e5\u9053\uff1a\u77e9\u9635\u4e0e\u56fe\u7adf\u7136\u5b58\u5728\u7b49\u4ef7\u5173\u7cfb<\/a><\/p>\n<section>\n<blockquote data-author-name=\"\" data-content-utf8-length=\"19\" data-source-title=\"\" data-type=\"2\" data-url=\"\">\n<section>\n<section>\u77e9\u9635\u5f88\u96be\u7406\u89e3\uff0c\u4f46\u6362\u4e2a\u89c6\u89d2\u6216\u8bb8\u4f1a\u4e0d\u4e00\u6837\u3002<\/section>\n<\/section>\n<\/blockquote>\n<\/section>\n<p>\u5728\u5b66\u4e60\u6570\u5b66\u65f6\uff0c\u6211\u4eec\u5e38\u56e0\u6240\u5b66\u77e5\u8bc6\u7684\u96be\u5ea6\u548c\u62bd\u8c61\u800c\u53d7\u632b\uff1b\u4f46\u6709\u4e9b\u65f6\u5019\uff0c\u53ea\u9700\u6362\u4e2a\u89d2\u5ea6\uff0c\u6211\u4eec\u5c31\u80fd\u4e3a\u95ee\u9898\u7684\u89e3\u7b54\u627e\u5230\u4e00\u4e2a\u7b80\u5355\u53c8\u76f4\u89c2\u7684\u89e3\u6cd5\u3002\u4e3e\u4e2a\u4f8b\u5b50\uff0c\u5c0f\u65f6\u5019\u5728\u5b66\u4e60\u548c\u7684\u5e73\u65b9 (a+b)\u00b2 \u516c\u5f0f\u65f6\uff0c\u6211\u4eec\u53ef\u80fd\u5e76\u4e0d\u7406\u89e3\u4e3a\u4ec0\u4e48\u5b83\u7b49\u4e8e a\u00b2+2ab+b\u00b2\uff0c\u53ea\u77e5\u9053\u4e66\u4e0a\u8fd9\u4e48\u5199\uff0c\u8001\u5e08\u8ba9\u8fd9\u4e48\u8bb0\uff1b\u76f4\u5230\u67d0\u5929\u6211\u4eec\u770b\u89c1\u4e86\u8fd9\u5f20\u52a8\u56fe\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-7ec6413784717ee569be9a7d4a3f0ba2.gif\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-7ec6413784717ee569be9a7d4a3f0ba2.gif\"><\/a><\/p>\n<p>\u767b\u65f6\u604d\u7136\u5927\u609f\uff0c\u539f\u6765\u6211\u4eec\u53ef\u4ee5\u4ece\u51e0\u4f55\u89d2\u5ea6\u6765\u7406\u89e3\u5b83\uff01<\/p>\n<p>\u73b0\u5728\uff0c\u8fd9\u79cd\u604d\u7136\u5927\u609f\u4e4b\u611f\u53c8\u51fa\u73b0\u4e86\uff1a\u975e\u8d1f\u77e9\u9635\u53ef\u4ee5\u7b49\u4ef7\u5730\u8f6c\u6362\u6210\u5bf9\u5e94\u7684\u6709\u5411\u56fe\uff01<\/p>\n<p>\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u5de6\u4fa7\u7684 3\u00d73 \u77e9\u9635\u5176\u5b9e\u53ef\u4ee5\u7b49\u4ef7\u5730\u8868\u793a\u6210\u53f3\u4fa7\u7684\u5305\u542b\u4e09\u4e2a\u8282\u70b9\u7684\u6709\u5411\u56fe\uff0c\u5e76\u4e14\u8fd9\u79cd\u8868\u793a\u65b9\u5f0f\u5bf9\u77e9\u9635\u548c<mark data-type=\"concepts\" data-id=\"a98a1162-138b-4bbc-a448-1934280f6f3d\">\u56fe\u8bba<\/mark>\u90fd\u5927\u6709\u5e2e\u52a9\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-c50429fb46ac41d90e69472af5411269.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-c50429fb46ac41d90e69472af5411269.png\"><\/a><\/p>\n<p>\u8fd9\u4e2a\u4f8b\u5b50\u6765\u81ea\u81f4\u529b\u4e8e\u8ba9\u6bcf\u4e2a\u4eba\u90fd\u80fd\u770b\u61c2\u6570\u5b66\uff08make math accessible for everyone\uff09\u7684\u6570\u5b66\u5bb6 Tivadar Danka\u3002\u8fd9\u4f4d\u81ea\u79f0\u300c\u6df7\u4e71\u5584\u826f\uff08Chaotic good\uff09\u300d\u7684\u6570\u5b66\u5bb6\u901a\u8fc7\u4e00\u7cfb\u5217\u63a8\u6587\u548c\u535a\u5ba2\u6587\u7ae0\u751f\u52a8\u5730\u4ecb\u7ecd\u4e86\u77e9\u9635\u548c\u56fe\u7684\u8fd9\u79cd\u7b49\u4ef7\u6027\u53ca\u5176\u7528\u9014\u3002\u622a\u81f3\u76ee\u524d\uff0c\u8fd9\u4e9b\u63a8\u6587\u5df2\u88ab\u9605\u8bfb\u4e86\u8d85\u8fc7 200 \u4e07\u6b21\uff0c\u6536\u83b7\u4e86\u8d85\u8fc7 3200 \u6b21\u8f6c\u53d1\u548c 9100 \u6b21\u6536\u85cf\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-a91f182ab058ece04213f9574b693a01.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-a91f182ab058ece04213f9574b693a01.png\"><\/a><\/p>\n<p>\u00a0<strong>\u77e9\u9635\u4e0e\u6709\u5411\u56fe\u7684\u5bf9\u4ef7\u6027<\/strong><\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-1a31e53743ba596bbe0e8a5e2ffb3dbf.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-1a31e53743ba596bbe0e8a5e2ffb3dbf.png\"><\/a><\/p>\n<p>\u5982\u4e0a\u56fe\u7684\u4f8b\u5b50\u6240\u793a\uff0c\u5982\u679c\u6211\u4eec\u5c06\u5176\u4e2d\u6bcf\u4e00\u884c\u90fd\u89c6\u4e3a\u4e00\u4e2a\u8282\u70b9\uff0c\u5219\u6bcf\u4e00\u4e2a\u5143\u7d20\u90fd\u53ef\u8868\u793a\u6210\u4e00\u6761\u6709\u5411\u4e14\u52a0\u6743\u7684\u8fb9\u3002\u5f53\u7136\uff0c0 \u5143\u7d20\u53ef\u4ee5\u5ffd\u7565\u4e0d\u8ba1\u3002\u5982\u679c\u8be5\u5143\u7d20\u4f4d\u4e8e\u7b2c i \u884c\u7b2c j \u5217\uff0c\u5219\u5bf9\u5e94\u4e8e\u4ece\u8282\u70b9 i \u5230\u8282\u70b9 j \u8fb9\u3002<\/p>\n<p>\u4e4d\u4e00\u770b\uff0c\u8fd9\u4f3c\u4e4e\u5f88\u590d\u6742\uff0c\u4f46\u6211\u4eec\u53ef\u4ee5\u5148\u770b\u5176\u4e2d\u4e00\u4e2a\u8282\u70b9\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-fe8635b07dc397482eb548be9bb819cb.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-fe8635b07dc397482eb548be9bb819cb.png\"><\/a><\/p>\n<p>\u5982\u56fe\u6240\u793a\uff0c\u5bf9\u4e8e\u8fd9\u4e2a 3\u00d73 \u7684\u77e9\u9635\uff0c\u7b2c 1 \u884c\u5bf9\u5e94\u4e8e\u6700\u9876\u90e8\u7684\u8282\u70b9\uff08\u6211\u4eec\u8fd9\u91cc\u79f0\u4e4b\u4e3a 1 \u53f7\u8282\u70b9\uff09\uff0c\u5176\u5305\u542b 3 \u4e2a\u5143\u7d20\u4f46\u5176\u4e2d\u4e00\u4e2a\u4e3a 0\uff0c\u56e0\u6b64\u8be5\u8282\u70b9\u5ef6\u4f38\u51fa\u4e86\u4e24\u6761\u8fb9\u3002\u5176\u4e2d\u9ec4\u8272\u8fb9\u8868\u793a\u7684\u662f (1,1) \u5904\u7684\u5143\u7d20 0.5\uff0c\u56e0\u6b64\u5b83\u662f\u6307\u5411\u81ea\u8eab\u4e14<mark data-type=\"concepts\" data-id=\"149a12cf-10c2-4555-9899-cc6dee319ef5\">\u6743\u91cd<\/mark>\u4e3a 0.5 \u7684\u6709\u5411\u8fb9\u3002\u540c\u7406\uff0c\u84dd\u8272\u8fb9\u662f\u6307\u5411 2 \u53f7\u8282\u70b9\u4e14<mark data-type=\"concepts\" data-id=\"149a12cf-10c2-4555-9899-cc6dee319ef5\">\u6743\u91cd<\/mark>\u4e3a 1 \u7684\u8fb9\u3002<\/p>\n<p>\u8fd9\u6837\u4e00\u6765\uff0c\u6211\u4eec\u4fbf\u80fd\u5206\u6790\u51fa\uff0c\u77e9\u9635\u7684\u7b2c i \u5217\u4fbf\u5bf9\u5e94\u4e8e\u6307\u5411 i \u53f7\u8282\u70b9\u7684\u6240\u6709\u8fb9\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-98925f33995da093b136d1d553185252.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-98925f33995da093b136d1d553185252.png\"><\/a><\/p>\n<p><strong>\u8fd9\u79cd\u7b49\u4ef7\u8868\u793a\u6709\u4ec0\u4e48\u7528\uff1f<\/strong><\/p>\n<p>\u975e\u8d1f\u77e9\u9635\u4e0e\u6709\u5411\u56fe\u4e4b\u95f4\u7684\u8fd9\u79cd\u7b49\u4ef7\u6027\u65e2\u80fd\u5e2e\u52a9\u6211\u4eec\u66f4\u597d\u5730\u7406\u89e3\u77e9\u9635\u53ca\u5176\u8fd0\u7b97\uff0c\u4e5f\u80fd\u5e2e\u52a9\u7b80\u5316\u4e00\u4e9b\u8ba1\u7b97\u8fc7\u7a0b\uff1b\u53cd\u8fc7\u6765\uff0c\u8fd9\u4e5f\u80fd\u5e2e\u52a9\u6211\u4eec\u4ece\u65b0\u7684\u89c6\u89d2\u7406\u89e3\u56fe\u3002<\/p>\n<p>\u4e3e\u4e2a\u4f8b\u5b50\uff0c\u77e9\u9635\u7684\u5e42\u5c31\u5bf9\u5e94\u4e8e\u56fe\u4e2d\u7684\u6e38\u8d70\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-3683dc957702d2deb4f6dae1329fbcf2.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-3683dc957702d2deb4f6dae1329fbcf2.png\"><\/a><\/p>\n<p>\u5982\u4e0a\u56fe\u6240\u793a\uff0c\u5bf9\u4e8e n\u00d7n \u7684\u65b9\u5f62\u77e9\u9635 A \u7684 k \u6b21\u5e42\uff0c\u5176\u4e2d\u6bcf\u4e2a\u5143\u7d20\u7684\u6c42\u548c\u8fc7\u7a0b\u90fd\u4f1a\u7eb3\u5165\u6240\u6709\u53ef\u80fd\u7684 k \u6b65\u6e38\u8d70\u3002<\/p>\n<p>\u4e3e\u4e2a\u4f8b\u5b50\uff0c\u5047\u8bbe\u6211\u4eec\u8981\u8ba1\u7b97\u4e0a\u8ff0 3\u00d73 \u77e9\u9635\u7684\u5e73\u65b9\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-3db5cd069f81719cddcb3bb5ae54f037.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-3db5cd069f81719cddcb3bb5ae54f037.png\"><\/a><\/p>\n<p>\u5982\u679c\u4f7f\u7528\u77e9\u9635\u4e58\u6cd5\uff0c\u5219\u6211\u4eec\u9700\u8981\u8fd9\u6837\u8ba1\u7b97\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-162100ee49bd5a9e3e3755dcb2d18503.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-162100ee49bd5a9e3e3755dcb2d18503.png\"><\/a><\/p>\n<p>\u5bf9\u4e8e\u8fd0\u7b97\u7ed3\u679c\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\u7ed3\u679c = 0.5\u00d70.5+1\u00d70.2+0\u00d71.8 = 0.45\u3002\u6700\u7ec8\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\u5b8c\u6574\u7684\u7ed3\u679c\u4e3a\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-982f47c1333ad0dc830d59b2ff0f0e26.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-982f47c1333ad0dc830d59b2ff0f0e26.png\"><\/a><\/p>\n<p>\u4f46\u5982\u679c\u501f\u52a9\u4e0a\u8ff0\u7684\u56fe\u6e38\u8d70\u65b9\u6cd5\uff0c\u5219\u53ef\u4ee5\u901a\u8fc7\u6e38\u8d70\u8def\u5f84\u6765\u5f97\u5230\u7ed3\u679c\u3002\u540c\u6837\uff0c\u5bf9\u4e8e\u7ed3\u679c\u77e9\u9635\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\uff0c\u5c31\u9700\u8981\u5bf9\u7b26\u5408 a_{1,l}\u2192a_{l,1} \u7684\u6240\u6709 2 \u6b65\u6e38\u8d70\u8def\u5f84\u6c42\u548c\u3002<\/p>\n<p>\u4f46\u662f\uff0c\u5982\u679c\u8fd9\u4e2a\u6709\u5411\u56fe\u8868\u793a\u7684\u662f\u9a6c\u5c14\u79d1\u592b\u94fe\u7684\u72b6\u6001\uff0c\u5176\u8f6c\u79fb\u6982\u7387\u77e9\u9635\u7684\u5e73\u65b9\u672c\u8d28\u4e0a\u5c31\u8868\u793a\u8be5\u94fe 2 \u6b65\u4e4b\u540e\u8fbe\u5230\u67d0\u4e2a\u72b6\u6001\u7684\u6982\u7387\u3002<\/p>\n<p>\u4e0d\u4ec5\u5982\u6b64\uff0c\u7528\u56fe\u8868\u793a\u77e9\u9635\u8fd8\u80fd\u8ba9\u6211\u4eec\u6df1\u5165\u4e86\u89e3\u975e\u8d1f\u77e9\u9635\u7684\u7ed3\u6784\u3002\u4e3a\u6b64\uff0cDanka \u8868\u793a\u6211\u4eec\u9700\u8981\u5148\u4e86\u89e3\u300c\u5f3a\u8fde\u901a\u5206\u91cf\uff08strongly connected components\uff09\u300d\u8fd9\u4e00\u6982\u5ff5\u3002<\/p>\n<p><strong>\u5f3a\u8fde\u901a\u5206\u91cf<\/strong><\/p>\n<p>\u4ec0\u4e48\u662f\u5f3a\u8fde\u901a\u5206\u91cf\uff1f\u5bf9\u4e8e\u4e00\u4e2a\u6709\u5411\u56fe\uff0c\u5982\u679c\u80fd\u4ece\u8be5\u56fe\u4e2d\u7684\u6bcf\u4e2a\u8282\u70b9\u5230\u8fbe\u5176\u5b83\u6bcf\u4e2a\u8282\u70b9\u65f6\uff0c\u6211\u4eec\u5c31\u8bf4\u8be5\u56fe\u662f\u5f3a\u8fde\u901a\u7684\u3002\u5982\u4e0b\u56fe\u6240\u793a\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-d1203c74742e7f659a4dcfb48d12f096.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-d1203c74742e7f659a4dcfb48d12f096.png\"><\/a><\/p>\n<p>\u800c\u5f3a\u8fde\u901a\u5206\u91cf\u5c31\u662f\u6307\u6709\u5411\u56fe\u4e2d\u80fd\u591f\u5b9e\u73b0\u5f3a\u8fde\u901a\u7684\u90e8\u5206 \/ \u5b50\u56fe\u3002\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u5de6\u53f3\u5404\u6709\u4e00\u4e2a\u5f3a\u8fde\u901a\u5206\u91cf\uff0c\u800c\u4e2d\u95f4\u7684\u767d\u8272\u8fb9\u4e0d\u5c5e\u4e8e\u4efb\u4f55\u5f3a\u8fde\u901a\u5206\u91cf\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-d053ac969aa127cc27d8a69fc9936a27.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-d053ac969aa127cc27d8a69fc9936a27.png\"><\/a><\/p>\n<p>\u4e0b\u56fe\u5219\u5c55\u793a\u4e86\u53e6\u4e00\u4e2a\u4f8b\u5b50\uff0c\u5176\u4e2d\u9ec4\u8272\u90e8\u5206\u662f\u5f3a\u8fde\u901a\u5206\u91cf\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-c36616bb6276d5b869a2decfe137d3c0.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-c36616bb6276d5b869a2decfe137d3c0.png\"><\/a><\/p>\n<p>\u5bf9\u5e94\u4e8e\u5f3a\u8fde\u901a\u56fe\u7684\u77e9\u9635\u662f\u4e0d\u53ef\u7ea6\u77e9\u9635\uff0c\u800c\u975e\u8d1f\u77e9\u9635\u4e2d\u7684\u6240\u6709\u5176\u5b83\u77e9\u9635\u90fd\u662f\u53ef\u7ea6\u77e9\u9635\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-73204d53210e5022a5392a298d7038a2.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-73204d53210e5022a5392a298d7038a2.png\"><\/a><\/p>\n<p>Danka \u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\u7ed9\u51fa\u4e86\u89e3\u91ca\u3002\uff08\u4e3a\u4e86\u8bf4\u660e\u7b80\u5355\uff0c\u4f8b\u5b50\u4e2d\u7684\u6240\u6709<mark data-type=\"concepts\" data-id=\"149a12cf-10c2-4555-9899-cc6dee319ef5\">\u6743\u91cd<\/mark>\u5747\u4e3a\u5355\u5143<mark data-type=\"concepts\" data-id=\"149a12cf-10c2-4555-9899-cc6dee319ef5\">\u6743\u91cd<\/mark>\uff0c\u4f46\u5b9e\u8df5\u4e2d\u8fd9\u4e9b<mark data-type=\"concepts\" data-id=\"149a12cf-10c2-4555-9899-cc6dee319ef5\">\u6743\u91cd<\/mark>\u503c\u53ef\u4ee5\u662f\u4efb\u610f\u975e\u8d1f\u503c\u3002\uff09<\/p>\n<p>\u4e0b\u9762\u5c06\u8fd9\u4e2a\u5305\u542b\u5f3a\u8fde\u901a\u5206\u91cf\u4f46\u672c\u8eab\u5e76\u4e0d\u5f3a\u8fde\u901a\u7684\u56fe\u8f6c\u5199\u6210\u5bf9\u5e94\u7684\u77e9\u9635\u5f62\u5f0f\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-d981fe20b3fa53dddf6ca7d0ff79cc52.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-d981fe20b3fa53dddf6ca7d0ff79cc52.png\"><\/a><\/p>\n<p>\u800c\u8fd9\u4e2a\u77e9\u9635\u662f\u53ef\u7ea6\u77e9\u9635\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-98c0b804c0d616b288a14478d19145e9.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-98c0b804c0d616b288a14478d19145e9.png\"><\/a><\/p>\n<p>\u53ef\u4ee5\u770b\u5230\uff0c\u5728\u4e3b\u5bf9\u89d2\u7ebf\u4e0a\u7684\u4e24\u4e2a\u5b50\u77e9\u9635\u5206\u522b\u8868\u793a\u4e24\u4e2a\u5f3a\u8fde\u901a\u5206\u91cf\uff0c\u800c\u53f3\u4e0a\u65b9\u7684\u5b50\u77e9\u9635\u8868\u793a\u4ece\u7b2c 1 \u4e2a\u5f3a\u8fde\u901a\u5206\u91cf\u6307\u5411\u7b2c 2 \u4e2a\u5f3a\u8fde\u901a\u5206\u91cf\u7684\u8fb9\uff0c\u5de6\u4e0b\u65b9\u7684\u5219\u8868\u793a\u4ece\u7b2c 2 \u4e2a\u5f3a\u8fde\u901a\u5206\u91cf\u6307\u5411\u7b2c 1 \u4e2a\u5f3a\u8fde\u901a\u5206\u91cf\u7684\u8fb9\uff08\u56e0\u4e3a\u6ca1\u6709\u8fd9\u6837\u7684\u8fb9\uff0c\u6240\u4ee5\u5168\u4e3a 0\uff09\u3002<\/p>\n<p>\u8fd9\u79cd\u4e66\u5199<mark data-type=\"tech_tasks\" data-id=\"70d1a967-90f5-47be-b22f-1e2c746f4914\">\u5206\u5757<\/mark>\u77e9\u9635\u7684\u5f62\u5f0f\u88ab\u79f0\u4e3a\u5f17\u7f57\u8d1d\u5c3c\u4e4c\u65af\u6807\u51c6\u5f62\uff08Frobenius normal form\uff09\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-16bfc3e3799bb64ea2674e81883f730c.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-16bfc3e3799bb64ea2674e81883f730c.png\"><\/a><\/p>\n<p>\u90a3\u4e48\uff0c\u6211\u4eec\u5f88\u81ea\u7136\u5c31\u4f1a\u95ee\uff1a\u6211\u4eec\u80fd\u5c06\u4efb\u610f\u975e\u8d1f\u77e9\u9635\u90fd\u8f6c\u6362\u6210\u5f17\u7f57\u8d1d\u5c3c\u4e4c\u65af\u6807\u51c6\u5f62\u77e9\u9635\u5417\uff1f<\/p>\n<p>\u901a\u8fc7\u4f7f\u7528\u6709\u5411\u56fe\u6765\u8868\u793a\u975e\u8d1f\u77e9\u9635\uff0c\u6211\u4eec\u53ef\u4ee5\u8f7b\u677e\u5730\u770b\u51fa\u7b54\u6848\u662f\u80af\u5b9a\u7684\uff0c\u56e0\u4e3a\u4efb\u4f55\u8868\u793a\u975e\u8d1f\u77e9\u9635\u7684\u6709\u5411\u56fe\u90fd\u53ef\u4ee5\u8868\u793a\u6210\u4e92\u76f8\u8fde\u63a5\u7684\u5f3a\u8fde\u901a\u5206\u91cf\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u975e\u5e38\u7b80\u5355\uff1a<\/p>\n<ol>\n<li>\n<p>\u4e3a\u975e\u8d1f\u77e9\u9635\u6784\u5efa\u5bf9\u5e94\u7684\u6709\u5411\u56fe\uff1b<\/p>\n<\/li>\n<li>\n<p>\u627e\u5230\u5176\u4e2d\u7684\u5f3a\u8fde\u901a\u5206\u91cf\uff1b<\/p>\n<\/li>\n<li>\n<p>\u6362\u66f4\u597d\u7684\u65b9\u5f0f\u6807\u6ce8\u5404\u4e2a\u8282\u70b9\u3002<\/p>\n<\/li>\n<\/ol>\n<p>\u5982\u6b64\u4fbf\u5927\u529f\u544a\u6210\u4e86\uff01<\/p>\n<p><strong>\u7528\u56fe\u6765\u5f97\u5230\u5f17\u7f57\u8d1d\u5c3c\u4e4c\u65af\u6807\u51c6\u5f62<\/strong><\/p>\n<p>\u90a3\u4e48\uff0c\u8fd9\u4e2a\u66f4\u597d\u7684\u65b9\u5f0f\u662f\u4ec0\u4e48\u5462\uff1f<\/p>\n<p>\u4ee5\u4e0a\u8ff0\u7684\u4f8b\u5b50\u4e3a\u57fa\u7840\uff0c\u6211\u4eec\u6765\u770b\u770b\u8fd9\u4e2a\u8fc7\u7a0b\u3002<\/p>\n<p>\u9996\u5148\uff0c\u5c06\u5404\u4e2a\u5f3a\u8fde\u901a\u5206\u91cf\u878d\u5408\u6210\u5355\u4e2a\u5bf9\u8c61\uff0c\u5982\u4e0b\u56fe\u6240\u793a\u3002\u8fd9\u65f6\u5019\u6211\u4eec\u53ef\u4ee5\u5c06\u6bcf\u4e2a\u5f3a\u8fde\u901a\u5206\u91cf\u89c6\u4e3a\u4e00\u4e2a\u9ed1\u7bb1 \u2014\u2014 \u6211\u4eec\u4e0d\u5173\u5fc3\u5176\u5185\u90e8\u7ed3\u6784\uff0c\u53ea\u770b\u5176\u5916\u90e8\u8fde\u63a5\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-cfbfe0885069fb2c283ab9661b5f799b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-cfbfe0885069fb2c283ab9661b5f799b.png\"><\/a><\/p>\n<p>\u7136\u540e\uff0c\u5728\u8fd9\u4e2a\u65b0\u56fe\u4e2d\uff0c\u6211\u4eec\u9700\u8981\u627e\u5230\u53ea\u6709\u51fa\u8fb9\u800c\u6ca1\u6709\u5165\u8fb9\u7684\u5206\u91cf\u3002\u8fd9\u4e2a\u5177\u4f53\u793a\u4f8b\u4e2d\u53ea\u6709\u4e00\u4e2a\uff0c\u6211\u4eec\u5c06\u5176\u6807\u8bb0\u4e3a 0 \u53f7\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-a5900c4a6827a53caee9a42a8289d008.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-a5900c4a6827a53caee9a42a8289d008.png\"><\/a><\/p>\n<p>\u63a5\u4e0b\u6765\u4e00\u6b65\u8f83\u4e3a\u9ebb\u70e6\uff1a\u5bf9\u6bcf\u4e2a\u5206\u91cf\u8fdb\u884c\u7f16\u53f7\uff0c\u4f7f\u5f97\u6bcf\u4e2a\u5206\u91cf\u7684\u7f16\u53f7\u90fd\u662f\u79bb 0 \u53f7\u6700\u8fdc\u7684\u8ddd\u79bb\u3002\u5982\u4e0b\u793a\u4f8b\u80fd\u66f4\u6e05\u6670\u5730\u8bf4\u660e\u8fd9\u4e00\u70b9\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-46b7fb381943b55f67f13aed3c2eb010.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-46b7fb381943b55f67f13aed3c2eb010.png\"><\/a><\/p>\n<p>\u53ef\u4ee5\u770b\u5230\uff0c0 \u53f7\u5230\u4e2d\u95f4\u7684\u5206\u91cf\u6709\u4e24\u6761\u8def\u5f84\uff0c\u90a3\u4e48\u9009\u62e9\u79bb 0 \u6700\u8fdc\u7684\u90a3\u6761\u8def\u5f84\u5bf9\u5176\u8fdb\u884c\u7f16\u53f7\u3002\u6700\u7ec8\u5f97\u5230\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-55b0e5b67775223d54112760cc688136.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-55b0e5b67775223d54112760cc688136.png\"><\/a><\/p>\n<p>\u5b9e\u9645\u4e0a\uff0c\u8fd9\u5b9a\u4e49\u7684\u662f\u5206\u91cf\u7684\u987a\u5e8f\u3002\u63a5\u4e0b\u6765\u6807\u8bb0\u5404\u4e2a\u5206\u91cf\u7684\u5185\u90e8\u8282\u70b9\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-cbbfc59d4d4e60512214110dd8959a69.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-cbbfc59d4d4e60512214110dd8959a69.png\"><\/a><\/p>\n<p>\u5982\u679c\u8be5\u56fe\u672c\u8eab\u6765\u81ea\u4e00\u4e2a\u77e9\u9635\uff0c\u5219\u8fd9\u6837\u7684\u91cd\u65b0\u6807\u6ce8\u8fc7\u7a0b\u5c31\u80fd\u5f97\u5230\u4e00\u4e2a\u5f17\u7f57\u8d1d\u5c3c\u4e4c\u65af\u6807\u51c6\u5f62\u77e9\u9635\uff01<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-3f1a830445910873e0c903171bda4dd3.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-3f1a830445910873e0c903171bda4dd3.png\"><\/a><\/p>\n<p>\u5b9e\u9645\u4e0a\uff0c\u8fd9\u4e2a\u91cd\u65b0\u6807\u6ce8\u7684\u8fc7\u7a0b\u5c31\u662f\u4f7f\u7528\u4e00\u4e2a\u7f6e\u6362\u77e9\u9635 P \u5bf9\u539f\u77e9\u9635\u6267\u884c\u53d8\u6362\uff0c\u800c\u8be5\u7f6e\u6362\u77e9\u9635\u7531\u591a\u4e2a\u8f6c\u7f6e\u77e9\u9635\u7684\u79ef\u6784\u6210\u3002<\/p>\n<p><a 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