{"id":1396,"date":"2026-08-25T19:51:49","date_gmt":"2026-08-25T11:51:49","guid":{"rendered":"https:\/\/www.kakosci.com\/?p=1396"},"modified":"2026-08-25T22:14:41","modified_gmt":"2026-08-25T14:14:41","slug":"%e6%a4%b0%e8%93%89%e9%9d%a2%e5%8c%85%ef%bc%8cbarnes-hut-%e7%ae%97%e6%b3%95%e5%92%8c%e5%bf%ab%e9%80%9f%e5%a4%9a%e6%9e%81%e5%ad%90%e6%96%b9%e6%b3%95%ef%bc%88fast-multipole-method%ef%bc%89","status":"publish","type":"post","link":"https:\/\/www.kakosci.com\/index.php\/2026\/08\/25\/%e6%a4%b0%e8%93%89%e9%9d%a2%e5%8c%85%ef%bc%8cbarnes-hut-%e7%ae%97%e6%b3%95%e5%92%8c%e5%bf%ab%e9%80%9f%e5%a4%9a%e6%9e%81%e5%ad%90%e6%96%b9%e6%b3%95%ef%bc%88fast-multipole-method%ef%bc%89\/","title":{"rendered":"\u6930\u84c9\u9762\u5305\uff0cBarnes-Hut \u7b97\u6cd5\u548c\u5feb\u901f\u591a\u6781\u5b50\u65b9\u6cd5\uff08Fast\u00a0Multipole\u00a0Method\uff09"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u516b\u516d\u6700\u8fd1\u5237\u5230\u4e00\u4e2a\u89c6\u9891\u8bb2FMM\u7684\uff0c\u94fe\u63a5\uff1a<a href=\"https:\/\/www.youtube.com\/watch?v=FhMftauQZqU\" target=\"_blank\" rel=\"noopener\">https:\/\/www.youtube.com\/watch?v=FhMftauQZqU<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u60f3\u5230\u6700\u8fd1\u516b\u516d\u53d1\u6587\u90fd\u592a\u6c34\u4e86\uff0c\u6240\u4ee5\u6211\u4eec\u4eca\u5929\u6765\u4ecb\u7ecd\u4e00\u4e0bFMM~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\uff08\u6ca1\u9519\u8fd9\u79cd\u8bed\u6c14\u662f\u770b\u7b71\u6cfd\u5e7f\u8bb2\u89e3\u7269\u7406\u5b66\u5408\u540c\u5fd7\u5b66\u7684~\u5c0f\u7b71\u6cfd\u592a\u68d2\u4e86\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\uff08\u5173\u952e\u5c31\u5728\u4e8e\u8bf4\u8bdd\u5148\u4e0d\u8bf4\u4e3b\u8bed\u5427\uff0c\u5bf9\u5427\uff1f\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\uff08\u770b\u5b8c\u8fd9\u7bc7\u6587\u7ed9\u6211\u53bb\u770b\u7b71\u6cfd\u7269\u7406\u5b66\u8bb2\u4e49\u554a\u7ed9\u6211\u53bb\u770b\uff0c\u7b2c\u4e00\u90e8\u5df2\u7ecf\u6c49\u5316\u4e86\u559c\uff1a<a href=\"https:\/\/e-hentai.org\/g\/3983370\/2f2b6c0b0c\/\" target=\"_blank\" rel=\"noopener\">https:\/\/e-hentai.org\/g\/3983370\/2f2b6c0b0c\/<\/a>\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u90a3\u4e3a\u4e86\u6a21\u4eff\u5408\u540c\u5fd7\u91cc\u7684\u5c0f\u77ed\u5267\u8bb2\u89e3\u65b9\u5f0f\uff0c\u6211\u4eec\u4e5f\u6765\u505a\u5427~<\/p>\n\n\n\n<div class=\"wp-block-rank-math-toc-block\" id=\"rank-math-toc\"><h2>\u76ee\u5f55<\/h2><nav><ul><li class=\"\"><a href=\"#\u6b63\u6587\u5f00\u59cb\">\u6b63\u6587\u5f00\u59cb<\/a><\/li><li class=\"\"><a href=\"#barnes-hut-\u7b97\u6cd5\">Barnes-Hut \u7b97\u6cd5<\/a><\/li><li class=\"\"><a href=\"#\u5feb\u901f\u591a\u6781\u5b50\u7b97\u6cd5\">\u5feb\u901f\u591a\u6781\u5b50\u7b97\u6cd5<\/a><\/li><li class=\"\"><a href=\"#\u6b63\u6587\u7ed3\u675f\">\u53c2\u8003\u8d44\u6599<\/a><\/li><li class=\"\"><a href=\"#\u540e\u65e5\u8c08\">\u540e\u65e5\u8c08<\/a><\/li><\/ul><\/nav><\/div>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-medium-font-size\" id=\"\u6b63\u6587\u5f00\u59cb\"><strong>\u6b63\u6587\u5f00\u59cb<\/strong><\/h2>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-default\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\uff08\u4e0b\u53481\u70b904\u5206\uff0c\u5b66\u9662\u8d70\u5eca\u91cc\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u8bf6\uff0c\u8fd9\u4e0d\u662fevilKT\u540c\u5b66\u5417\uff0c\u597d\u5de7\u554a~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u516b\u516d\u540c\u5b66\uff01\u53eb\u6211evil\u5c31\u597d\u5566~\u770b\u8fd9\u4e2a\u65b9\u5411\uff0c\u53c8\u662f\u8981\u53bb\u4e70\u9762\u5305\u6765\u7cca\u5f04\u8fc7\u53bb\u5348\u9910\u4e86\u5427<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u554a\u54c8\u54c8\uff0c\u771f\u662f\u4ec0\u4e48\u90fd\u7792\u4e0d\u8fc7evil\u554a&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u90a3\u6211\u4e5f\u966a\u4f60\u53bb\u5427~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u55ef\uff01\u542c\u8bf4\u6709\u65b0\u53e3\u5473\u7684\u9762\u5305\uff0c\u4e00\u8d77\u5c1d\u5c1d\u5427~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\uff08\u4e00\u6bb5\u8def\u4e0a\u6e29\u99a8\u7684\u5bf9\u8bdd\u540e\uff0c\u5b66\u9662\u9762\u5305\u5e97\u95e8\u53e3\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u554a\uff01\u521a\u51fa\u7089\u7684\u6930\u84c9\u9762\u5305\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u54c7\uff01\u96be\u9053evil\u4e5f\u662f\u6930\u84c9\u7231\u597d\u8005\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u96be\u9053\u516b\u516d\u4e5f\uff1f\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u55ef\uff01\u8001\u677f\uff0c\u8bf7\u6765\u4e24\u4e2a\u6930\u84c9\u9762\u5305\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\uff08\u4e24\u4eba\u62ff\u7740\u9762\u5305\uff0c\u5750\u5728\u4e86\u9910\u684c\u4e24\u4fa7\uff09<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"575\" src=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u996d\u5802\u573a\u666f-1024x575.png\" alt=\"\" class=\"wp-image-1415\" srcset=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u996d\u5802\u573a\u666f-1024x575.png 1024w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u996d\u5802\u573a\u666f-300x169.png 300w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u996d\u5802\u573a\u666f-768x431.png 768w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u996d\u5802\u573a\u666f-1536x863.png 1536w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u996d\u5802\u573a\u666f-2048x1151.png 2048w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u996d\u5802\u573a\u666f-520x293.png 520w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u996d\u5802\u573a\u666f-670x376.png 670w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\uff08\u516b\u516d\u548cevil\u5728\u98df\u5802\uff09<\/figcaption><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u8bf4\u8d77\u6765\uff0cevil\u540c\u5b66\uff0c\u4f60\u4e0d\u89c9\u5f97\u8fd9\u4e9b\u6930\u84c9\u5f88\u50cf\u4e00\u4e2a\u4e2a\u5c0f\u5c0f\u7684\u5c0f\u60d1\u661f\u5417\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\uff1f\u561b\uff0c\u516b\u516d\u540c\u5b66\u8fd9\u4e48\u4e00\u8bf4\u7684\u8bdd\u597d\u50cf\u662f\u6709\u70b9&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u5475\u5475&#8230;\u8981\u662f\u8fd9\u4e9b\u6930\u84c9\u4e4b\u95f4\u7684\u5f15\u529b\u9700\u8981\u7528\u8ba1\u7b97\u673a\u6a21\u62df\uff0cevil\u540c\u5b66\u8be5\u600e\u4e48\u529e\u5462\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u8bf6\uff1f\u7a81\u7136\u95ee\u8fd9\u79cd\u95ee\u9898&#8230;&#8230;\u90a3\u53ea\u80fd\u5229\u7528\u725b\u987f\u5148\u751f\u7684\u4e07\u6709\u5f15\u529b\u5b9a\u5f8b\u5bf9\u6bcf\u4e00\u5bf9\u6930\u84c9\u4e4b\u95f4\u7684\u5f15\u529b\u8fdb\u884c\u8ba1\u7b97\u6765\u83b7\u5f97\u6bcf\u4e2a\u6930\u84c9\u53d7\u5230\u7684\u5408\u5916\u529b\uff0c\u518d\u5229\u7528\u8fd9\u4e2a\u529b\u6765\u786e\u5b9a\u5404\u4e2a\u6930\u84c9\u7684\u52a0\u901f\u5ea6&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u55ef\uff01\u5f88\u76f4\u63a5\u7684\u60f3\u6cd5\u5462\uff01\u5012\u4e0d\u5982\u8bf4\u611f\u89c9\u4e0d\u4f1a\u6709\u5176\u4ed6\u7684\u65b9\u6cd5\u4e86\u5427\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u4ec0\u4e48\u561b\uff01\u6bcf\u6b21\u516b\u516d\u540c\u5b66\u4f60\u8fd9\u6837\u8bf4\u5c31\u80af\u5b9a\u662f\u5bf9\u6211\u85cf\u7740\u6396\u7740\uff01\u5feb\u8bf4\u5427\uff0c\u80af\u5b9a\u6709\u66f4\u597d\u7684\u65b9\u6cd5\u5427\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u8981\u662f\u8981\u6c42\u5b8c\u5168\u7b26\u5408\u5f15\u529b\u5b9a\u5f8b\u7684\u8bdd\u786e\u5b9e\u6ca1\u6709\u54e6\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u8bf6\uff0c\u600e\u4e48\u8fd9\u6837&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\uff08\u90aa\u9b45\u7684\u7b11\u5bb9\uff09\u4e0d\u8fc7\uff0c\u8981\u662f\u53ef\u4ee5\u5141\u8bb8\u4e00\u70b9\u70b9\u8bef\u5dee\u7684\u8bdd\uff0c\u66f4\u5feb\u7684\u65b9\u6cd5\u4e5f\u662f\u6709\u7684\uff01\u4e0d\u5982\u8bf4\u65e2\u7136\u51b3\u5b9a\u4f7f\u7528\u8ba1\u7b97\u673a\u8fdb\u884c\u6a21\u62df\u7684\u8bdd\u6570\u503c\u8ba1\u7b97\u8bef\u5dee\u6bd4\u5982\u6d6e\u70b9\u6570\u8bef\u5dee\u5c31\u662f\u4e0d\u53ef\u907f\u514d\u7684\u5427~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u6211\u5c31\u77e5\u9053\uff01\u516b\u516d\u540c\u5b66\u771f\u662f\u574f\u5fc3\u773c\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u597d\u5566\u597d\u5566\uff01\u6b63\u597d\u6700\u8fd1\u770b\u5230\u4e86\u6709\u8da3\u7684\u65b9\u6cd5\uff0c\u540d\u5b57\u53eb\u505a\u5feb\u901f\u591a\u6781\u5b50\u65b9\u6cd5\uff08Fast&nbsp;Multipole&nbsp;Method\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u5feb\u901f\uff1f\u591a\u7ea7\u5b50\uff1f\u4f55\u610f\u5473\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u554a\uff01\u9762\u5305\u90fd\u8981\u51c9\u4e86\uff01\u6211\u4eec\u7b49\u4f1a\u53bb\u81ea\u4e60\u5ba4\u518d\u8bf4\u5427~\uff08\u53cc\u624b\u5408\u5341\uff09\u6211\u5f00\u52a8\u4e86~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u554a\u554a\uff01\u679c\u7136\u516b\u516d\u8fd8\u662f\u574f\u5fc3\u773c\uff01<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-medium-font-size\" id=\"barnes-hut-\u7b97\u6cd5\"><strong>Barnes-Hut \u7b97\u6cd5<\/strong><\/h2>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\uff08\u4eab\u7528\u4e86\u6930\u84c9\u9762\u5305\u7684\u4e24\u4eba\uff0c\u4e00\u8def\u4e0a\u804a\u7740\u5929\uff0c\u5230\u4e86\u65e0\u4eba\u7684\u81ea\u4e60\u5ba4\u5185\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u554a\uff0c\u6ca1\u6709\u4eba\u5462\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u5f53\u7136\u7684\u5427\uff0c\u73b0\u5728\u662f\u5348\u4f11\u65f6\u95f4\u5462\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u554a\uff0c\u90a3\u6b63\u597d\u7ed9evil\u540c\u5b66\u52a9\u7720\u5462\uff0c\u8bb2\u89e3\u7b97\u6cd5\u7684\u8bdd~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u4e0d\u8981\u592a\u6b3a\u8d1f\u6211\u5566&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u5475\u5475~evil\u540c\u5b66\u8fd8\u8bb0\u5f97\u6211\u4eec\u8981\u8ba8\u8bba\u4ec0\u4e48\u7b97\u6cd5\u5417\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u4e0d\u662f\u5feb\u901f\u591a\u6781\u5b50\u7b97\u6cd5\u5417\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u55ef\uff01\u84b8\u868c\uff01\u4e0d\u8fc7\u5728\u90a3\u4e4b\u524d\uff0c\u6211\u60f3\u5148\u8bb2\u8bb2\u53e6\u4e00\u4e2a\u7b97\u6cd5\u5462\uff0c\u53eb\u505aBarnes-Hut \u7b97\u6cd5\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u53c8\u6765\u4e86\uff01\u5947\u602a\u7684\u7b97\u6cd5\u540d\u5b57\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u55ef\uff1f\u6709\u8fd9\u4e48\u5947\u602a\u5417\uff1f\u867d\u7136\u786e\u5b9e\u662f\u4eba\u540d\u547d\u540d\u7684\uff0c\u6ca1\u6709FMM\u7684\u540d\u5b57\u8fd9\u4e48\u6613\u61c2\u5462~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u539f\u6765\u5728\u516b\u516d\u7684\u5fc3\u91cc\uff0c\u5feb\u901f\u591a\u6781\u5b50\u8fd9\u79cd\u540d\u8bcd\u5f88\u6613\u61c2\u5417&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u5475\u5475~evil\u540c\u5b66\u8fd9\u4e48\u4e00\u8bf4\uff0c\u4e0d\u662f\u663e\u5f97\u6211\u5f88\u559c\u6b22\u70ab\u8000\u5417\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u4e8b\u5b9e\u5982\u6b64\u5427\uff1f\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u561b\uff0c\u56de\u5230\u6211\u4eec\u7684\u8bdd\u9898\uff0c\u8fd9\u4e48\u591a\u7684\u6930\u84c9\uff0c\u8981\u662f\u6309\u7167\u5f15\u529b\u5b9a\u5f8b\u5e73\u65b9\u53cd\u6bd4\u7684\u5f0f\u5b50\u6765\u8bf4\uff0c\u9762\u5305\u4e0a\u4e24\u4e2a\u89d2\u7684\u6930\u84c9\u4e4b\u95f4\u7684\u5f15\u529b\u4f1a\u6bd4\u76f8\u5bf9\u66f4\u8fd1\u7684\u6930\u84c9\u4e4b\u95f4\u7684\u5f15\u529b\u5c0f\u5427\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\uff08\u5b8c\u5168\u6ca1\u6709\u53cd\u7701\u81ea\u5df1\u554a\u516b\u516d\u540c\u5b66\uff01\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u6240\u4ee5\u8bf4\uff0c\u5bf9\u4e8e\u6211\u4eec\u4e00\u4e2a\u89d2\u4e0a\u7684\u8fd9\u4e2a\u6930\u84c9\uff0c\u8981\u662f\u6211\u4eec\u628a\u5bf9\u89d2\u8fd9\u4e00\u5757\u7684\u6930\u84c9\u90fd\u5f53\u6210\u4e00\u4e2a\u5927\u6930\u84c9\u56e2\uff0c\u518d\u8ba1\u7b97\u89d2\u4e0a\u7684\u6930\u84c9\u88ab\u8fd9\u4e2a\u5927\u6930\u84c9\u56e2\u6240\u5438\u5f15\u7684\u5f15\u529b\uff0c\u5c31\u53ef\u4ee5\u7701\u53bb\u5f88\u591a\u5bf9\u6930\u84c9\u4e4b\u95f4\u7684\u8ba1\u7b97\u5427\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u554a&#8230;&#8230;\u6709\u70b9\u542c\u4e0d\u61c2\u4e86&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u55ef&#8230;&#8230;\uff08\u73af\u987e\u56db\u5468\uff09\u554a\uff01\u81ea\u4e60\u5ba4\u6709\u767d\u677f\u771f\u662f\u5e2e\u5927\u5fd9\u4e86\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\uff08\u516b\u516d\u5728\u767d\u677f\u4e0a\u753b\u7740\u4ec0\u4e48\uff0cEvil\u5219\u5728\u65c1\u8fb9\u9759\u9759\u5730\u770b\u7740\uff09<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2560\" height=\"1437\" src=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u81ea\u4e60\u5ba4\u573a\u666f-3-scaled.jpg\" alt=\"\" class=\"wp-image-1411\" srcset=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u81ea\u4e60\u5ba4\u573a\u666f-3-scaled.jpg 2560w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u81ea\u4e60\u5ba4\u573a\u666f-3-300x168.jpg 300w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u81ea\u4e60\u5ba4\u573a\u666f-3-1024x575.jpg 1024w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u81ea\u4e60\u5ba4\u573a\u666f-3-768x431.jpg 768w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u81ea\u4e60\u5ba4\u573a\u666f-3-1536x862.jpg 1536w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u81ea\u4e60\u5ba4\u573a\u666f-3-2048x1150.jpg 2048w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u81ea\u4e60\u5ba4\u573a\u666f-3-670x376.jpg 670w\" sizes=\"auto, (max-width: 2560px) 100vw, 2560px\" \/><figcaption class=\"wp-element-caption\">\uff08\u516b\u516d\u548cEvil\u5728\u81ea\u4e60\u5ba4\uff09<\/figcaption><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u600e\u4e48\u6837\uff0c\u770b\u7684\u8fd8\u6e05\u695a\u5417\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u55ef\uff01\u6709\u56fe\u5c31\u597d\u7406\u89e3\u591a\u4e86~<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/1-1-1024x1024.png\" alt=\"\" class=\"wp-image-1400\" srcset=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/1-1-1024x1024.png 1024w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/1-1-150x150.png 150w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/1-1-300x300.png 300w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/1-1-768x768.png 768w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/1-1-670x670.png 670w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/1-1.png 1254w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\uff08\u516b\u516d\u753b\u7684\u793a\u610f\u56fe1\u53f7\uff09<\/figcaption><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u4e0d\u8fc7\u8fd9\u6930\u84c9\u9762\u5305\u4e5f\u592a\u65b9\u65b9\u6b63\u6b63\uff0c\u6930\u84c9\u4e5f\u592a\u5c11\u4e86\u5427~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u770b\u6765\u662f\u9ed1\u5fc3\u8001\u677f\u5462~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u5c31\u50cf\u8fd9\u6837\uff0c\u5c06\u6930\u84c9\u9762\u5305\u5206\u6210\u56db\u4efd\uff0c\u518d\u628a\u5c0f\u4efd\u7684\u9762\u5305\u518d\u5206\u6210\u56db\u4efd\uff0c\u8fd9\u6837\u7684\u64cd\u4f5c\u54e6\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u55ef\uff1f\u90a3A\u548cH\u7684\u6930\u84c9\u4e3a\u4ec0\u4e48\u8fd8\u662f\u4e00\u4e2a\u5927\u5757\u5462\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u662f\u56e0\u4e3a\u5f53\u4e00\u4efd\u9762\u5305\u91cc\u53ea\u5269\u4e00\u4e2a\u6930\u84c9\u7684\u8bdd\uff0c\u518d\u5206\u4e0b\u53bb\u4e5f\u53ea\u4f1a\u591a\u51fa\u4e09\u4e2a\u6ca1\u6709\u6930\u84c9\u7684\u8d2b\u7620\u9762\u5305\u5757\u5427\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u6ca1\u6709\u6930\u84c9\u7684\u6930\u84c9\u9762\u5305\uff0c\u786e\u5b9e\u6709\u70b9\u53ef\u601c\u5462&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u6240\u4ee5\uff0c\u5f53\u4e00\u4e2a\u5757\u91cc\u53ea\u5269\u4e00\u4e2a\u6930\u84c9\u7684\u65f6\u5019\uff0c\u5c31\u53ef\u4ee5\u505c\u4e0b\u56db\u5206\u7684\u8fc7\u7a0b\u5566\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u4e00\u76f4\u8981\u5206\u5230\u4e0d\u5b58\u5728\u6709\u4e00\u5757\u91cc\u9762\u6709\u591a\u4e2a\u6930\u84c9\u7684\u65f6\u5019\u5417\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u6ca1\u9519\uff01evil\u540c\u5b66\uff0c\u4e00\u4e0b\u5c31\u7406\u89e3\u4e86\u5462~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u867d\u7136\u662f\u8fd9\u6837&#8230;&#8230;\u4f46\u662f\u8fd9\u6837\u5206\u5b8c\u4e4b\u540e\uff0c\u53c8\u8be5\u600e\u4e48\u50cf\u516b\u516d\u4e4b\u524d\u8bf4\u7684\u90a3\u6837\u4e00\u4e2a\u6930\u84c9\u53ea\u7528\u5bf9\u8fdc\u5904\u7684\u4e00\u5927\u56e2\u6930\u84c9\u8ba1\u7b97\u5f15\u529b\u5c31\u597d\u4e86\u5462\uff1f\u73b0\u5728\u8fd9\u6837\u5206\u5b8c\uff0c\u8fd8\u4e0d\u662f\u8981\u6bcf\u4e00\u4e2a\u5e26\u6709\u4e00\u4e2a\u6930\u84c9\u7684\u5c0f\u5757\u4e4b\u95f4\u6210\u5bf9\u8ba1\u7b97\u5f15\u529b\u5417\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u8fd9\u65f6\u5019\u5c31\u662f\u5c06\u56fe\u5f62\u7ed3\u6784\u5316\u7684\u597d\u65f6\u5019\u5566~\u7b49\u6211\u4e00\u4e0b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\uff08\u516b\u516d\u53c8\u5728\u56fe\u4e0a\u753b\u4e86\u4e00\u4e9b\u4e1c\u897f\uff09<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"745\" src=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/2-1-1024x745.png\" alt=\"\" class=\"wp-image-1401\" srcset=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/2-1-1024x745.png 1024w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/2-1-768x559.png 768w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/2-1-300x218.png 300w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/2-1-669x487.png 669w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/2-1.png 1470w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\uff08\u516b\u516d\u753b\u7684\u793a\u610f\u56fe2\u53f7\uff09<\/figcaption><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u554a\uff0c\u4ed4\u7ec6\u4e00\u770b\uff0c\u786e\u5b9e\u53ef\u4ee5\u5c06\u4e4b\u524d\u7684\u5e73\u9762\u56fe\u53d8\u6210\u8fd9\u79cd\u6811\u72b6\u56fe\u5462\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u6ca1\u9519\uff01\u5bf9\u4e8e\u6211\u4eec\u7684\u6930\u84c9\u9762\u5305\u8868\u9762\u5b87\u5b99\u662f\u56db\u5206\uff0c\u4e5f\u5c31\u662f\u56db\u53c9\u6811\u3002\u540c\u7406\uff0c\u5bf9\u4e8e\u6211\u4eec\u6240\u5728\u7684\u4e09\u7ef4\u7a7a\u95f4\uff0c\u4e5f\u53ef\u4ee5\u5c06\u4e00\u4e2a\u5927\u7acb\u65b9\u4f53\u5206\u6210\u516b\u4e2a\u5c0f\u7acb\u65b9\u4f53\uff0c\u4ece\u800c\u83b7\u5f97\u5bf9\u5e94\u7684\u516b\u53c9\u6811\u54e6\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u5f88\u5de7\u5999\u7684\u601d\u8def\u8f6c\u6362\u5462~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u770b\u7740\u8fd9\u4e2a\u6811\u5f62\u7ed3\u6784\uff0cevil\u7684\u8bdd\uff0c\u5e94\u8be5\u5df2\u7ecf\u770b\u51fa\u6765\u54ea\u4e9b\u6930\u84c9\u4e4b\u95f4\u9700\u8981\u600e\u4e48\u8ba1\u7b97\u5f15\u529b\u4e86\u5427~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u55ef&#8230;&#8230;\u540c\u7ea7\u7684\uff0c\u6bd4\u5982B\u548cC\u4e4b\u95f4\u548cEFG\u4e4b\u95f4\u5c31\u9700\u8981\u8001\u65b9\u6cd5\u4e24\u4e24\u6210\u5bf9\u8ba1\u7b97\u5427&#8230;&#8230;\u90a3\u4e48\u5bf9\u4e8eB\u5bf9D\uff0cC\u5bf9D\u8fd9\u79cd\u4e0d\u5728\u540c\u4e00\u7ea7\u7684\u8ba1\u7b97&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1aevil\u540c\u5b66\u52a0\u6cb9\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u554a\uff01\u5c31\u53ef\u4ee5\u628aB\u548cC\u7684\u8d28\u91cf\u52a0\u5728\u4e00\u8d77\uff0c\u7136\u540e\u653e\u5230\u5b83\u4eec\u4e0a\u7ea7\u533a\u57df\u7684\u4e2d\u5fc3\uff0c\u5f53\u4f5c\u4e0a\u7ea7\u7684\u90a3\u4e2a\u6bcd\u8282\u70b9\u7684\u7b49\u6548\u6930\u84c9\u56e2\u5427\uff01\u8fd9\u6837B-C\u6bcd\u8282\u70b9\u5c31\u662f\u4e00\u4e2a\u548cD\u540c\u7ea7\u7684\u6930\u84c9\u4e86\uff0c\u4e5f\u5c31\u53ef\u4ee5\u4e4b\u95f4\u7528\u5f15\u529b\u5b9a\u5f8b\u4e24\u4e24\u6210\u5bf9\u8ba1\u7b97\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1aevil\u679c\u7136\u5f88\u806a\u660e\u554a~\u4e0d\u8fc7\u8865\u5145\u4e00\u70b9\uff0c\u4e0e\u5176\u7528BC\u8d28\u91cf\u4e4b\u548c\u653e\u5230\u4e0a\u7ea7\u533a\u57df\u4e2d\u5fc3\uff0c\u4e5f\u53ef\u4ee5\u7528BC\u8d28\u91cf\u4e0e\u4f4d\u7f6e\u7684\u52a0\u6743\u6c42\u548c\u5f97\u5230\u66f4\u51c6\u786e\u7684\u7b49\u6548\u5f15\u529b\u4e2d\u5fc3\u54e6\uff0c\u8fd9\u5728\u4e0d\u662f\u56db\u7b49\u5206\u800c\u662f\u65b9\u5757\u6709\u5927\u6709\u5c0f\u7684\u65f6\u5019\u4e5f\u5f88\u597d\u7528~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u6240\u4ee5\u8ba1\u7b97\u4e00\u4e2a\u8282\u70b9\u7684\u5f15\u529b\uff0c\u5c31\u53ef\u4ee5\u9012\u5f52\u7684\u4ece\u5b50\u53f6\u4e00\u76f4\u5408\u5e76\u5230\u540c\u7ea7\u7684\u8282\u70b9\u518d\u8ba1\u7b97\u5f15\u529b\u5462\uff0c\u6bd4\u5982BCD\u5bf9A\u7684\u5f15\u529b\u3002\u7136\u540e\u518d\u6839\u636e\u725b\u987f\u7b2c\u4e09\u5b9a\u5f8b\u4e5f\u53ef\u4ee5\u5f97\u5230A\u5bf9BCD\u7684\u5f15\u529b\u3002\u8fd9\u6837\u7684\u8bdd&#8230;&#8230;\u786e\u5b9e\u53ef\u4ee5\u7701\u53bb\u4e0d\u5c11\u8ba1\u7b97\u91cf\u5462\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u554a\uff0c\u5176\u5b9e\u5e76\u4e0d\u80fd\u7528\u725b\u987f\u7b2c\u4e09\u5b9a\u5f8b\u5f97\u5230A\u5bf9BCD\u7684\u5f15\u529b\u54e6\uff1f\u56e0\u4e3a\u53ea\u80fd\u5f97\u5230A\u5bf9\u540c\u5c42\u7684\u4e1c\u5317\u8282\u70b9\uff0c\u6216\u8005\u8bf4\u662fA\u5bf9BC\u5408\u5e76\u548cD\u5408\u5e76\u7684\u8d28\u5fc3\u7684\u5f15\u529b\u561b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u554a\uff0c\u5bf9\u54e6&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u6240\u4ee5\u8bf4\uff0c\u8981\u662f\u8ba1\u7b97\u7684\u5bf9\u8c61\u5728\u53f6\u5b50\u8282\u70b9\u91cc\u9762\uff0c\u6bd4\u5982\u5bf9\u4e8eB\u6765\u8bf4\u5c31\u6709A\u548cD\uff0c\u8fd9\u79cd\u8fd8\u662f\u8981\u76f4\u63a5\u7528\u4e07\u6709\u5f15\u529b\u5b9a\u5f8b\u8ba1\u7b97\u5462\u3002\u4e0d\u8fc7\u8fd8\u662f\u4f1a\u6bd4\u6700\u5f00\u59cb\u7684\u65b9\u6cd5\u5feb\u4e0d\u5c11\u5427\uff1f\u7279\u522b\u662f\u6709\u5f88\u591a\u7a00\u758f\u7684\u6930\u84c9\u53ef\u4ee5\u805a\u6210\u5f88\u591a\u5c0f\u56e2\u7684\u65f6\u5019\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"HachirokuFMM1Quote1\">Evil\uff1a\u662f\u5462&#8230;&#8230;\u4e0d\u8fc7\u8981\u662f\u6709\u4e00\u56e2\u6bd4\u8f83\u7d27\u5bc6\u7684\u6930\u84c9\u548c\u4e00\u4e2a\u79bb\u5f97\u5f88\u8fdc\u7684\u6930\u84c9\uff0c\u90a3\u8fd9\u4e00\u56e2\u7684\u6930\u84c9\u5bf9\u8fd9\u4e2a\u79bb\u5f97\u5f88\u8fdc\u7684\u6930\u84c9\u7684\u5f15\u529b\u4e5f\u8981\u4e00\u5bf9\u4e00\u5bf9\u8ba1\u7b97\u5462\uff0c\u660e\u660e\u611f\u89c9\u53ef\u4ee5\u5f53\u6210\u5dee\u4e0d\u591a\u7684\u529b&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u662f\u5427\uff1f\u4e0d\u8fc7\uff0c\u4e00\u822c\u6765\u8bf4\uff0c\u76f8\u6bd4\u8d77\u539f\u6765\u7b97\u6cd5\u7684<math data-latex=\"O(N^2)\"><semantics><mrow><mi>O<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><msup><mi>N<\/mi><mn>2<\/mn><\/msup><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">O(N^2)<\/annotation><\/semantics><\/math>\u7684\u65f6\u95f4\u590d\u6742\u5ea6\uff0cBarnes-Hut \u7b97\u6cd5\u4e00\u822c\u80fd\u6709<math data-latex=\"O(N\\log N)\"><semantics><mrow><mi>O<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>N<\/mi><mrow><mspace width=\"0.1667em\"><\/mspace><mi>log<\/mi><mo>\u2061<\/mo><mspace width=\"0.1667em\"><\/mspace><\/mrow><mi>N<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">O(N\\log N)<\/annotation><\/semantics><\/math>\u7684\u8868\u73b0\u5462\uff0c\u867d\u7136\u6700\u574f\u7684\u60c5\u51b5\u5c31\u50cf\u521a\u521a\u7684\u4f8b\u5b50\u4e00\u6837\uff0c\u8fd8\u662f\u4f1a\u9000\u5316\u5230<math data-latex=\"O(N^2)\"><semantics><mrow><mi>O<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><msup><mi>N<\/mi><mn>2<\/mn><\/msup><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">O(N^2)<\/annotation><\/semantics><\/math>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u5df2\u7ecf\u5f88\u68d2\u4e86\u5462\uff01\u5927\u6982\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u5f53\u7136\uff0c\u8fd8\u6709\u66f4\u68d2\u7684\u65b9\u6cd5\u54e6\uff1f\u751a\u81f3\u80fd\u505a\u5230<math data-latex=\"O(N)\"><semantics><mrow><mi>O<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>N<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">O(N)<\/annotation><\/semantics><\/math>\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5462\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a<math data-latex=\"O(N)\"><semantics><mrow><mi>O<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>N<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">O(N)<\/annotation><\/semantics><\/math>\uff1f\uff01\u4e5f\u5c31\u662f\u5feb\u901f\u591a\u6781\u5b50\u65b9\u6cd5\u5427\uff1f\u5feb\u8bf4\u5566\uff0c\u516b\u516d\u540c\u5b66\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u554a\uff0c\u5feb\u8981\u5230\u4e0b\u5348\u4e0a\u8bfe\u65f6\u95f4\u4e86\uff0c\u8fd8\u662f\u8981\u597d\u597d\u4e0a\u8bfe\u624d\u884c\u54e6evil\u540c\u5b66~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u8bf6\uff0c\u600e\u4e48\u8fd9\u6837&#8230;&#8230;\u90a3\u4e0b\u5348\u653e\u5b66\u540e\uff0c\u8bb0\u5f97\u7b49\u6211\u54e6\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\uff08\u76ee\u89c6\u7740\u8dd1\u51fa\u81ea\u4e60\u5ba4\u7684evil\uff09\u5475\u5475\uff0c\u5c31\u662f\u8ba4\u771f\u597d\u5b66\u8fd9\u70b9\u624d\u8ba9\u4eba\u611f\u89c9\u5230\u5341\u5206\u53ef\u7231\u554a\uff0cevil\u540c\u5b66~<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-medium-font-size\" id=\"\u5feb\u901f\u591a\u6781\u5b50\u7b97\u6cd5\"><strong>\u5feb\u901f\u591a\u6781\u5b50\u7b97\u6cd5<\/strong><\/h2>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\uff08\u4e0b\u8bfe\u94c3\u54cd\uff0c\u516b\u516d\u6b63\u6536\u62fe\u7740\u684c\u4e0a\u7684\u6570\u5b66\uff0c\u8ba1\u7b97\u673a\u548c\u7269\u7406\u8bfe\u672c\uff0c\u62ac\u5934\u770b\u5230\u4e86Evil\u6b63\u7ad9\u5728\u6559\u5ba4\u95e8\u53e3\uff09<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"575\" src=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u4e0b\u5348\u4e0b\u8bfe\u573a\u666f-1-1024x575.jpg\" alt=\"\" class=\"wp-image-1410\" srcset=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u4e0b\u5348\u4e0b\u8bfe\u573a\u666f-1-1024x575.jpg 1024w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u4e0b\u5348\u4e0b\u8bfe\u573a\u666f-1-300x168.jpg 300w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u4e0b\u5348\u4e0b\u8bfe\u573a\u666f-1-768x431.jpg 768w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u4e0b\u5348\u4e0b\u8bfe\u573a\u666f-1-1536x862.jpg 1536w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u4e0b\u5348\u4e0b\u8bfe\u573a\u666f-1-2048x1150.jpg 2048w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u4e0b\u5348\u4e0b\u8bfe\u573a\u666f-1-670x377.jpg 670w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\uff08Evil\u548c\u516b\u516d\u653e\u5b66\u7684\u4f1a\u9762\uff09<\/figcaption><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u554a\uff0c\u8fd9\u4e0d\u662fevil\u540c\u5b66\u5417\uff1f\u6709\u4f55\u8d35\u5e72\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u9a97\u4eba\u7684\u5427&#8230;&#8230;\u8fd9\u4e48\u5feb\u5c31\u5fd8\u4e86\u4e2d\u5348\u548c\u6211\u7684\u7ea6\u5b9a\u5417\u516b\u516d\u9171&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u5475\u5475\uff0cevil\u540c\u5b66\uff0c\u60f3\u7a0d\u5fae\u6349\u5f04\u4e00\u4e0b\u5462\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u554a\u554a\uff0c\u679c\u7136\u8fd8\u662f\u56de\u53bb\u95eeAI\u5427\uff0c\u516b\u516d\u540c\u5b66\u592a\u574f\u4e86\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u8bf6&#8230;&#8230;\u5bf9\u4e0d\u8d77\u5566\uff0cevil\u540c\u5b66\uff0c\u770b\u6765\u505a\u8fc7\u5934\u4e86\u5462&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u597d\u5566\uff0c\u8981\u9053\u6b49\u7684\u8bdd\uff0c\u5c31\u5feb\u70b9\u8bb2\u6e05\u695a\u5427\uff0c\u5feb\u901f\u591a\u6781\u5b50\u4ec0\u4e48\u7684\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u5475\u5475\uff0c\u90a3\u6559\u5ba4\u7684\u9ed1\u677f\uff0c\u5c31\u501f\u7528\u4e00\u4e0b\u5566~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u4ec0\u4e48\u5417\uff0c\u8fd9\u79cd\u574f\u574f\u7684\u7b11\u5bb9\uff0c\u5b8c\u5168\u4e0d\u50cf\u662f\u6709\u597d\u597d\u53cd\u7701\u81ea\u5df1\u7684\u6837\u5b50&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\uff08\u516b\u516d\u6574\u7406\u4e86\u4e0b\u88d9\u6446\uff0c\u8d70\u4e0a\u4e86\u8bb2\u53f0\uff0c\u800cevil\u5f88\u81ea\u7136\u7684\u5750\u5728\u4e86\u516b\u516d\u7684\u5ea7\u4f4d\u4e0a\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u90a3\u4e48\uff0c\u6211\u4eec\u5f00\u59cb\u5427\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\uff08\u516b\u516d\u62ff\u8d77\u7c89\u7b14\u5728\u9ed1\u677f\u4e0a\u753b\u7740\uff0cevil\u5728\u4e0b\u9762\u8ba4\u771f\u7684\u770b\u7740\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\uff08\u5728\u516b\u516d\u8fd8\u5728\u753b\u56fe\u7684\u65f6\u5019\uff09\u9996\u5148\uff0c\u6211\u4eec\u5148\u89e3\u91ca\u4e00\u4e0b\u8fd9\u4e2a\u65b9\u6cd5\u7684\u540d\u5b57\u5427~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u5feb\u901f\u7684\u90e8\u5206\u5f88\u597d\u7406\u89e3\uff0c\u6bd5\u7adf\u5b9e\u9645\u4e0a\u786e\u5b9e\u5728N\u6bd4\u8f83\u5927\u7684\u65f6\u5019\uff0cFMM\u662f\u6bd4B-H\u7b97\u6cd5\u5feb\u7684~\u800c\u591a\u6781\u5b50&#8230;&#8230;evil\u540c\u5b66\u77e5\u9053\u5076\u6781\u5b50\u548c\u56db\u6781\u5b50\u4e4b\u7c7b\u7684\u5417\uff0c\u6bd4\u5982\u7535\u5076\u6781\u5b50\u7684\u6982\u5ff5\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u77e5\u9053\u54e6\uff0c\u7535\u5076\u6781\u5b50\u4e0d\u5c31\u662f\u4e24\u4e2a\u7b49\u7535\u91cf\u7684\u5f02\u6027\u70b9\u7535\u8377\u6784\u6210\u7684\u7ed3\u6784\u5417\u3002\u597d\u50cf\u5728\u8ddd\u79bb\u8fdc\u8d85\u4e8e\u4e24\u4e2a\u70b9\u7535\u8377\u76f8\u9694\u8ddd\u79bb\u4e4b\u5904\u5b83\u4eec\u6240\u4ea7\u751f\u7684\u7535\u573a\u53ef\u4ee5\u8fd1\u4f3c\u4e3a\u5b83\u4eec\u7684\u4e00\u4e2a\u53eb\u7535\u5076\u6781\u77e9\u7684\u91cf\u6240\u4ea7\u751f\u7684\u7535\u573a\u3002\u8981\u662f\u5b83\u4eec\u7684\u76f8\u9694\u8ddd\u79bb\u8d8b\u5411\u4e8e 0 \uff0c\u597d\u50cf\u5c31\u662f\u70b9\u7535\u5076\u6781\u5b50\u4e86\uff0c\u4e5f\u662f\u6700\u7eaf\u7cb9\u7684\u7535\u5076\u6781\u5b50\uff0c\u597d\u50cf\u6027\u8d28\u53ea\u7531\u7535\u5076\u6781\u77e9\u51b3\u5b9a\u5462\u3002<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"391\" height=\"258\" data-id=\"1423\" src=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/DipoleContourPoint-edited-1.png\" alt=\"\" class=\"wp-image-1423\" srcset=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/DipoleContourPoint-edited-1.png 391w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/DipoleContourPoint-edited-1-300x198.png 300w\" sizes=\"auto, (max-width: 391px) 100vw, 391px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"379\" height=\"373\" data-id=\"1422\" src=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/Quadrupole-potential-contour-xy-edited.png\" alt=\"\" class=\"wp-image-1422\" srcset=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/Quadrupole-potential-contour-xy-edited.png 379w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/Quadrupole-potential-contour-xy-edited-300x295.png 300w\" sizes=\"auto, (max-width: 379px) 100vw, 379px\" \/><\/figure>\n<figcaption class=\"blocks-gallery-caption wp-element-caption\">\uff08\u7535\u5076\u6781\u5b50\u7684\u52bf\uff08\u5de6\uff09\u548c\u7535\u56db\u6781\u5b50\u7684\u52bf\uff08\u53f3\uff09\uff09<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u8bf6\uff1f\uff01\uff08\u9707\u60ca\u5730\u770b\u5411evil\uff09\u8fd9\u4e9b\u53ef\u662f\u6211\u4eec\u8bfe\u672c\u4e0a\u8fd8\u6ca1\u5b66\u5230\u7684\u77e5\u8bc6\u5462\uff01\u6ca1\u60f3\u5230evil\u9171\u5c45\u7136\u5df2\u7ecf\u77e5\u9053\u4e86\uff0c\u6211\u8fd8\u60f3\u597d\u597d\u70ab\u8000\u4e00\u4e0b\u5462\uff0c\u4ec0\u4e48\u7684\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u4ec0\u4e48\u561b\uff0c\u770b\u4e0d\u8d77\u6211\u7684\u6837\u5b50&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u5bf9\u4e0d\u8d77\uff01\u592a\u5f97\u610f\u5fd8\u5f62\u4e86&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u561b\uff0c\u597d\u6b79\u4e5f\u662f\u7a0d\u5fae\u770b\u8fc7\u4e00\u70b9\u8d39\u6069\u66fc\u7269\u7406\u5b66\u8bb2\u4e49\u7684\uff0c\u867d\u7136\u770b\u7b2c\u4e09\u5377\u7684\u65f6\u5019\u770b\u5230\u4e00\u534a\u5c31\u770b\u4e0d\u4e0b\u53bb\u4e86&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1aevil\u540c\u5b66\uff0c\u610f\u5916\u7684\u5f88\u5f3a\u5462\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u628a\u610f\u5916\u53bb\u6389\u554a\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u561b\uff0c\u4e0d\u8fc7\u5feb\u901f\u591a\u6781\u5b50\u7684\u591a\u6781\u5b50\uff0c\u5176\u5b9e\u662f\u6307\u591a\u6781\u5b50\u5c55\u5f00\uff08Multipole Expansion\uff0cME\uff09\u54e6\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u554a\uff0c\u6211\u731c\u731c\uff0c\u591a\u6781\u5b50\u5c55\u5f00\u5c31\u662f\u628a\u5404\u79cd\u5404\u6837\u7684\u7535\u8377\u7ed3\u6784\u53d8\u6210\u5f88\u591a\u79cd\u591a\u6781\u5b50\u5427\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u6ca1\u9519\uff01\u5c31\u50cf\u5085\u91cc\u53f6\u5c55\u5f00\u53ef\u4ee5\u628a\u4efb\u610f\u51fd\u6570\u5c55\u5f00\u6210\u7528\u4e0d\u540c\u9891\u7387\u7684\u6b63\u5f26\u51fd\u6570\u7684\u7ea7\u6570\u4e00\u6837\uff0c\u591a\u6781\u5b50\u5c55\u5f00\u53ef\u4ee5\u628a\u4efb\u610f\u7535\u8377\u5206\u5e03\u5c55\u5f00\u6210\u7528\u4e0d\u540c\u6781\u6570\u7684\u591a\u6781\u5b50\u7684\u7ea7\u6570\u5462\u3002\u800c\u521a\u521aevil\u8bf4\u7684\u7535\u5076\u6781\u5b50\uff0c\u5c31\u50cf\u662f\u6b63\u5f26\u51fd\u6570\u4e00\u6837\u662f\u7eaf\u7cb9\u7684\u5462\uff0c\u5728\u591a\u6781\u5b50\u5c55\u5f00\u91cc\u5c31\u50cf\u6b63\u5f26\u51fd\u6570\u5728\u5085\u91cc\u53f6\u5c55\u5f00\u91cc\u4e00\u6837\u90fd\u53ea\u6709\u4e00\u4e2a\u9879\u54e6\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u54fc\u54fc\uff0c\u6211\u771f\u5389\u5bb3\uff01\u90a3&#8230;&#8230;\u96be\u9053\u5c31\u50cf\u51fd\u6570\u8fd1\u4f3c\u4e00\u6837\uff0c\u56e0\u4e3a\u8d8a\u9ad8\u6b21\u7684\u6781\u5b50\u5bf9\u8fdc\u573a\u7684\u5f71\u54cd\u7684\u8ddd\u79bb\u4e0a\u7684\u6b21\u65b9\u8d8a\u5c0f\uff0c\u6bd4\u5982\u5355\u6781\u4e5f\u5c31\u662f\u4e00\u4e2a\u70b9\u7535\u8377\u7684\u7535\u52bf\u6b63\u6bd4\u4e8e<math data-latex=\"\\frac{1}{r}\"><semantics><mfrac><mn>1<\/mn><mi>r<\/mi><\/mfrac><annotation encoding=\"application\/x-tex\">\\frac{1}{r}<\/annotation><\/semantics><\/math>\uff0c\u53cc\u6781\u6b63\u6bd4\u4e8e<math data-latex=\"\\frac{1}{r^2}\"><semantics><mfrac><mn>1<\/mn><msup><mi>r<\/mi><mn>2<\/mn><\/msup><\/mfrac><annotation encoding=\"application\/x-tex\">\\frac{1}{r^2}<\/annotation><\/semantics><\/math>\uff0c\u56db\u6781\u6b63\u6bd4\u4e8e<math data-latex=\"\\frac{1}{r^3}\"><semantics><mfrac><mn>1<\/mn><msup><mi>r<\/mi><mn>3<\/mn><\/msup><\/mfrac><annotation encoding=\"application\/x-tex\">\\frac{1}{r^3}<\/annotation><\/semantics><\/math>\u7b49\u7b49\uff0c\u4e5f\u53ef\u4ee5\u6309\u7cbe\u5ea6\u5728\u7ea7\u6570\u7684\u67d0\u4e00\u7ea7\u622a\u65ad\u5427\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u6ca1\u9519\uff0c\u800c\u4e14\u8bef\u5dee\u9879\u4e5f\u662f\u5f88\u660e\u786e\u5b9a\u4e49\u7684\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u603b\u7684\u6765\u8bf4\uff0cME\u5c31\u662f\u5c06\u4e00\u7ec4\u6930\u84c9\u5bf9\u8fdc\u5904\u89c2\u6d4b\u70b9\u7684\u8d21\u732e\u8868\u793a\u4e3a\u5173\u4e8e\u8fd9\u7ec4\u6930\u84c9\u6e90\u4e2d\u5fc3\u7684\u7ea7\u6570\u5c55\u5f00\u7684\u64cd\u4f5c\u5566\u3002\u6bd4\u55bb\u4e00\u4e0b\u7684\u8bdd\uff0c\u5c31\u662f\u53ef\u4ee5\u50cf\u201c\u53d1\u5c04\u5668\u4e00\u6837\u201d\u5411\u81ea\u5df1\u5468\u56f4\u5e7f\u64ad\u81ea\u5df1\u5bf9\u5916\u9762\u6930\u84c9\u7684\u5f71\u54cd\u5427~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u55ef&#8230;&#8230;\u8fd8\u6709\u4e00\u70b9\u60f3\u8865\u5145\u8bf4\u660e\u7684\u3002evil\u540c\u5b66\u77e5\u9053\u7684\u5427\uff0c\u5728\u67d0\u4e9b\u529b\u7684\u8ba1\u7b97\u91cc\u9762\uff0c\u529b\u662f\u77e2\u91cf\u6240\u4ee5\u8ba1\u7b97\u8d77\u6765\u4e0d\u4ec5\u8981\u8003\u8651\u5927\u5c0f\u8fd8\u8981\u8003\u8651\u65b9\u5411\u5f88\u9ebb\u70e6\u5462\uff0c\u800c\u52bf\u662f\u6807\u91cf\u53ef\u4ee5\u76f4\u63a5\u7b80\u5355\u76f8\u52a0\u5462\u3002\u5230\u65f6\u5019\u53ef\u4ee5\u518d\u8ba1\u7b97\u52bf\u7684\u68af\u5ea6\u6765\u6c42\u5f97\u529b\u3002\u5c31\u50cfevil\u4e4b\u524d\u8bf4\u7684\uff1a<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-style-default is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">Evil\uff1a\u662f\u5462&#8230;&#8230;\u4e0d\u8fc7\u8981\u662f\u6709\u4e00\u56e2\u6bd4\u8f83\u7d27\u5bc6\u7684\u6930\u84c9\u548c\u4e00\u4e2a\u79bb\u5f97\u5f88\u8fdc\u7684\u6930\u84c9\uff0c\u90a3\u8fd9\u4e00\u56e2\u7684\u6930\u84c9\u5bf9\u8fd9\u4e2a\u79bb\u5f97\u5f88\u8fdc\u7684\u6930\u84c9\u7684\u5f15\u529b\u4e5f\u8981\u4e00\u5bf9\u4e00\u5bf9\u8ba1\u7b97\u5462\uff0c\u660e\u660e\u611f\u89c9\u53ef\u4ee5\u5f53\u6210\u5dee\u4e0d\u591a\u7684\u529b&#8230;&#8230;<a href=\"#HachirokuFMM1Quote1\">\u8df3\u8f6c<\/a><\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"HachirokuFMM1Quote3\">\u516b\u516d\uff1a\u8981\u662f\u662f\u52bf\u7684\u8bdd\u5c31\u53ef\u4ee5\u5f88\u7b80\u5355\u7684\u76f4\u63a5\u8ba9\u8fdc\u573a\u7684\u5404\u4e2a\u6930\u84c9\u56e2\u7684ME\u7684\u52bf\u52a0\u548c\u5728\u4e00\u8d77\u6c42\u51fa\u6574\u4f53\u7684\u52bf\u4e86\u5427\uff1f\u561b\uff0c\u867d\u7136\u6309\u7167\u540c\u6837\u7684\u601d\u60f3\uff0c\u4e5f\u53ef\u4ee5\u5148\u6c42\u51fa\u6574\u4f53\u7684\u529b\u573a\u4e4b\u7c7b\u7684&#8230;&#8230;\u8fd9\u79cd\u7ec6\u8282\u5c31\u4e0d\u8981\u5728\u610f\u4e86\u5427\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u5f88\u5728\u610f\u554a\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u6700\u540e\u603b\u7ed3\u7684\u65f6\u5019\u4f1a\u8bb2\u5230\u7684\u54e6\u6240\u4ee5\u5c31\u5148\u5fcd\u8010\u4e00\u4e0b\u5427~<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"575\" src=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u9ed1\u677f\u573a\u666f-1024x575.jpg\" alt=\"\" class=\"wp-image-1440\" srcset=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u9ed1\u677f\u573a\u666f-1024x575.jpg 1024w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u9ed1\u677f\u573a\u666f-300x169.jpg 300w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u9ed1\u677f\u573a\u666f-767x431.jpg 767w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u9ed1\u677f\u573a\u666f-1536x863.jpg 1536w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u9ed1\u677f\u573a\u666f-2048x1151.jpg 2048w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u9ed1\u677f\u573a\u666f-669x376.jpg 669w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u9ed1\u677f\u573a\u666f-670x377.jpg 670w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\uff08\u516b\u516d\u5728\u9ed1\u677f\u4e0a\u753b\u56fe\uff09<\/figcaption><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u597d\u5566\uff0c\u7ec8\u4e8e\u753b\u5b8c\u5566\uff0c\u6709\u5f69\u8272\u7c89\u7b14\u771f\u662f\u4e0d\u9519\u5462\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u6807\u8bb0\u8d77\u6765\u5f88\u65b9\u4fbf\u5462~<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1019\" height=\"1024\" src=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/FMM-1019x1024.png\" alt=\"\" class=\"wp-image-1442\" srcset=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/FMM-1019x1024.png 1019w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/FMM-150x150.png 150w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/FMM-298x300.png 298w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/FMM-768x772.png 768w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/FMM-669x673.png 669w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/FMM.png 1143w\" sizes=\"auto, (max-width: 1019px) 100vw, 1019px\" \/><figcaption class=\"wp-element-caption\">\uff08\u516b\u516d\u753b\u7684\u793a\u610f\u56fe3\u53f7\uff09<\/figcaption><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u63a5\u4e0b\u6765\u7a0d\u5fae\u8bf4\u4e00\u4e0bFMM\u5230\u73b0\u5728\u7684\u6d41\u7a0b\u5427~\u7b2c\u4e00\u904d\u7684ME\u5c06\u6240\u6709\u5728\u53f6\u8282\u70b9\u7684\u5c0f\u56e2\uff0c\u4e5f\u5c31\u662f\u9ed1\u677f\u4e0a\u7eff\u8272\u7684\u8fd9\u51e0\u4e2a\u6846\u6846\u5566\uff0c\u91cc\u9762\u7684\u6930\u84c9\u7684\u52bf\u51fd\u6570\u7ea7\u6570\u6c42\u51fa\u6765\u3002\u7136\u540e\uff0c\u548cBarnes-Hut\u7c7b\u4f3c\u7684\uff0c\u867d\u7136\u6570\u5b66\u65b9\u9762\u66f4\u52a0\u590d\u6742\u4e00\u70b9\uff0c\u53ef\u4ee5\u628a\u8fd9\u51e0\u4e2a\u7eff\u8272\u7684\u5c0f\u56e2\u7684\u52bf\u51fd\u6570\u5e73\u79fb\u548c\u5408\u5e76\uff0c\u53d8\u6210\u7ea2\u8272\u6846\u6846\u7684\u52bf\u51fd\u6570\u5462\u3002\u6700\u540e\u4e00\u76f4\u5411\u4e0a\u4f20\u9012\u52bf\u51fd\u6570\uff0c\u76f4\u5230\u83b7\u5f97\u6574\u4e2a\u6a21\u62df\u91cc\u6700\u9ad8\u5c42\u7684\u6846\u6846\u7684\u52bf\u51fd\u6570\u4e3a\u6b62\u5462\u3002\u987a\u4fbf\u4e00\u63d0\uff0c\u8fd9\u4e24\u4e2a\u6b65\u9aa4\u5206\u522b\u53eb\u505a\u7c92\u5b50\u5230\u591a\u6781\u5b50\uff08Particle to Multipole\uff0cP2M\uff09\u548c\u591a\u6781\u5b50\u5230\u591a\u6781\u5b50\uff08Multipole to Multipole\uff0cM2M\uff09\u5462\uff0c\u800c\u8fd9\u4e24\u4e2a\u6b65\u9aa4\u5408\u5728\u4e00\u8d77\u5c31\u662fFMM\u7684\u5411\u4e0a\u4f20\u64ad\u7684\u8fc7\u7a0b\u4e86\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u90a3\u4e2a\u5f69\u8272\u7684\u6846\u6846\u662f\u4ec0\u4e48\u5462\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u554a\uff0c\u90a3\u4e2a\u53ea\u662f\u65e0\u804a\u624d\u8bd5\u7740\u753b\u753b\u6e10\u53d8\u5566\uff0c\u60f3\u8868\u8fbe\u7684\u662f\u8981\u662f\u662f\u5f15\u529b\u52bf\u7684\u8bdd\u70ed\u56fe\u770b\u8d77\u6765\u5927\u6982\u957f\u4ec0\u4e48\u6837\u54e6\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u5450\u9c81\u4faf\u591a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"HachirokuFMM1Quote4\">\u516b\u516d\uff1a\u7ecf\u8fc7P2M\u548cM2M\u4e4b\u540e\uff0c\u6240\u6709\u7684\u8282\u70b9\uff0c\u4e5f\u5c31\u662f\u6240\u6709\u7684\u6846\u6846\uff0c\u90fd\u8ba1\u7b97\u548c\u50a8\u5b58\u4e86\u4e00\u4efd\u81ea\u5df1\u7684ME\u5c55\u5f00\u7684\u7ea7\u6570\u7684\u7cfb\u6570\u5462\uff0c\u5c31\u50cf<math data-latex=\"M_1,M_2,...\"><semantics><mrow><msub><mi>M<\/mi><mn>1<\/mn><\/msub><mo separator=\"true\">,<\/mo><msub><mi>M<\/mi><mn>2<\/mn><\/msub><mo separator=\"true\">,<\/mo><mi>.<\/mi><mi>.<\/mi><mi>.<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">M_1,M_2,&#8230;<\/annotation><\/semantics><\/math>\u3002\u8fd9\u4e2a\u5411\u4e0a\u4f20\u64ad\u7684\u8fc7\u7a0b\u662f\u5bf9\u6240\u6709\u6846\u6846\u8fdb\u884c\u7684\uff0c\u800c\u6846\u6846\u7684\u6570\u91cf\u548c\u603b\u5171\u6930\u84c9\u7684\u6570\u91cf\u662f\u6210\u7ebf\u6027\u5173\u7cfb\u7684\u5462\uff0c\u6240\u4ee5\u8fd9\u4e00\u6b65\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u662f<math data-latex=\"O(N)\"><semantics><mrow><mi>O<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>N<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">O(N)<\/annotation><\/semantics><\/math>\u54e6\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\uff08\u603b\u611f\u89c9\u602a\u602a\u7684&#8230;&#8230;\u771f\u7684\u662f\u7ebf\u6027\u5417\uff1f\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u4e0d\u8fc7\u8fd9\u6837\u7684\u64cd\u4f5c\u4e4b\u540e\uff0c\u63a5\u4e0b\u6765\u5c31\u662f\u7528\u603b\u7684ME\u5c55\u5f00\u7684\u573a\u5bf9\u6240\u6709\u7684\u6930\u84c9\u8fdb\u884c\u8ba1\u7b97\u4e86\u5427\uff1f\u5c31\u50cf\u5df2\u7ecf\u6709\u4e86\u52bf\u573a\uff0c\u53ea\u9700\u8981\u5bf9\u6bcf\u4e2a\u6930\u84c9\u627e\u5230\u52bf\u7684\u68af\u5ea6\u5c31\u89e3\u51b3\u4e86\uff01\u90a3\u786e\u5b9e\u4e5f\u662f<math data-latex=\"O(N)\"><semantics><mrow><mi>O<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>N<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">O(N)<\/annotation><\/semantics><\/math>\u7684\u4e00\u6b21pass\u5c31\u89e3\u51b3\u4e86\u5462~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u4e0d\u8981\u8fd9\u4e48\u5feb\u561b\uff0c\u516b\u516d\u540c\u5b66~\u521a\u521a\u7684\u8ba8\u8bba\u91cc\u9762\uff0c\u6211\u4eec\u90fd\u5ffd\u7565\u4e86\u591a\u6781\u5b50\u5c55\u5f00\u5f97\u5230\u7684\u51fd\u6570\u7684\u9002\u7528\u57df\u54e6\uff1f\u5c31\u50cf\u6cf0\u52d2\u7ea7\u6570\u4e00\u6837\uff0c\u591a\u6781\u5b50\u5c55\u5f00\u5f97\u5230\u7684\u591a\u9879\u5f0f\u6709\u53ef\u80fd\u4f1a\u6709\u6536\u655b\u8303\u56f4\u5462\uff0c\u6bd5\u7adf\u4e00\u5f00\u59cb\u5c31\u662f\u5047\u8bbe\u6e90\u6930\u84c9\u5bf9\u8fdc\u573a\u7684\u4f5c\u7528\u624d\u60f3\u5230\u591a\u6781\u5b50\u5c55\u5f00\u7684\u561b~\u6240\u4ee5\uff0c\u8981\u4fdd\u9669\u8d77\u89c1\u7684\u8bdd\uff0c\u81ea\u5df1\u540c\u7ea7\u7684\u6846\u6846\u80af\u5b9a\u662f\u8981\u76f4\u63a5\u91cc\u9762\u7684\u6930\u84c9\u6210\u5bf9\u8ba1\u7b97\u4e86\u5427\uff0c\u751a\u81f3\u4e0a\u4e00\u7ea7\u548c\u4e0a\u4e24\u7ea7\u7684\u4e5f\u8981\u5462~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u545c&#8230;&#8230;\u90a3\u8fd9\u4e48\u8bf4\u7684\u8bdd\u8fd8\u662f\u611f\u89c9\u6ca1\u4ec0\u4e48\u7528\u554a\uff0c\u5f15\u5165\u591a\u6781\u5b50\u5c55\u5f00\u8fd9\u79cd\u4e8b\u3002\u867d\u7136\u53ef\u4ee5\u5bf9\u4e00\u5c0f\u56e2\u6930\u84c9\u6c42\u51fa\u5b83\u4eec\u7684\u52bf\u518d\u7528\u5728\u8fdc\u5904\u7684\u6930\u84c9\u4e0a\u6c42\u529b\uff0c\u4f46\u662f\u611f\u89c9\u548cBarnes-Hut\u7b97\u6cd5\u7684\u60f3\u6cd5\u5927\u5dee\u4e0d\u5dee\u5462\uff0c\u8fd8\u4e0d\u662f\u9700\u8981\u5206\u7ea7\u8fd0\u7b97\u4e4b\u540e\u5404\u4e2a\u5b50\u53f6\u6210\u5bf9\u8ba1\u7b97\uff0c\u53ea\u662f\u628a\u6700\u672b\u5c3e\u7684\u4e00\u7ea7\u4ece\u5355\u4e2a\u6930\u84c9\u53d8\u6210\u4e86\u5355\u7fa4\u9760\u7684\u5f88\u8fd1\u7684\u6930\u84c9\uff0c\u5728\u516b\u516d\u753b\u7684\u56fe\u4e0a\u5c31\u662f\u8fd8\u4e0d\u662f\u8981\u8fdb\u884c\u6a59\u8272\u6846\u6846\u4e00\u5bf9\u4e00\u5bf9\u7684\u5bf9\u7ea2\u8272\u6846\u6846\u8fdb\u884c\u8ba1\u7b97\uff0c\u7136\u540e\u4e4b\u540e\u8fd9\u4e9b\u6a59\u8272\u6846\u6846\u53c8\u8981\u5bf9\u7eff\u8272\u6846\u6846\u8fdb\u884c\u540c\u6837\u91cd\u590d\u7684\u8ba1\u7b97&#8230;&#8230;\u5728\u5927\u5c3a\u5ea6\u7684\u6a21\u62df\u4e0b\u4e5f\u53ea\u662f\u5bf9\u603b\u8fd0\u7b97\u91cf\u9664\u4ee5\u4e86\u4e00\u4e2a\u5e38\u6570\uff0c\u6bd4\u5982\u6bcf\u683c\u6700\u5c11\u898110\u4e2a\u6930\u84c9\u4ee5\u4e0a\u624d\u518d\u7ec6\u5206\uff0c\u8003\u8651\u5230\u6930\u84c9\u4e0d\u662f\u5b8c\u5168\u5747\u5300\u5206\u5e03\uff0c\u5c31\u53ea\u662f\u5bf9\u603b\u8fd0\u7b97\u91cf\u9664\u4ee5\u4e86\u4e0d\u523010\u5427\uff0c\u8fd8\u662f\u6ca1\u80fd\u60f3\u5230\u4e3a\u4ec0\u4e48\u4f1a\u6bd4Barnes-Hut\u6709\u8d28\u7684\u53d8\u5316\u5462\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u786e\u5b9e\u5462\uff0c\u8981\u662f\u5355\u770bME\u7684\u8bdd\u3002\u4e0d\u8fc7\u8ba1\u7b97\u8bef\u5dee\u6709\u4e86\u660e\u786e\u7684\u5b9a\u4e49\uff0c\u8fd8\u662f\u6709\u8fdb\u6b65\u7684\u5462\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"HachirokuFMM1Quote2\">Evil\uff1a\u5509&#8230;&#8230;\u7ed3\u679c\u591a\u6781\u5b50\u5c55\u5f00\u4e5f\u6ca1\u80fd\u89e3\u51b3\u95ee\u9898\u5417\uff1f\u8981\u662f\u8fd9\u4e9b\u8ba1\u7b97\u50cf\u5411\u4e0a\u4f20\u64ad\u7684\u8fc7\u7a0b\u4e00\u6837\uff0c\u6bcf\u5c42\u90fd\u80fd\u5b58\u4e0b\u6765\u4e00\u4e2a\u4fe1\u606f\u7ed9\u81ea\u5df1\u7684\u4e0b\u4e00\u5c42\u7528\u5c31\u597d\u4e86\uff0c\u4e0d\u8fc7\u4e0b\u9762\u5c42\u7684\u8282\u70b9\u53c8\u5e94\u8be5\u600e\u4e48&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u8bf6\uff1f\uff01evil\u540c\u5b66\u96be\u9053\u4f1a\u8bfb\u5fc3\u5417\uff1f\u5feb\u901f\u591a\u6781\u5b50\u65b9\u6cd5\u786e\u5b9e\u8fd8\u4e0d\u6b62\u6709ME\u8fd9\u4e2a\u64cd\u4f5c\uff0c\u8fd8\u6709\u53e6\u4e00\u4e2a\u64cd\u4f5c\uff0c\u53eb\u505a\u5c40\u90e8\u5c55\u5f00\uff08Local Expansion\uff0cLE\uff09\u5462\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u8bf6\uff0c\u90a3\u53c8\u662f\u4ec0\u4e48\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u662f\u4e00\u79cd\u5c06\u8fdc\u5904\u7684\u6930\u84c9\u56e2\u5bf9\u67d0\u533a\u57df\u5185\u90e8\u6240\u6709\u6930\u84c9\u7684\u8d21\u732e\u8868\u793a\u4e3a\u5173\u4e8e\u8be5\u533a\u57df\u4e2d\u5fc3\u7684\u7ea7\u6570\u5c55\u5f00\u7684\u64cd\u4f5c\u54e6\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u80fd\u50cf\u201c\u63a5\u6536\u5668\u201d\u4e00\u6837\u628a\u5404\u4e2a\u6846\u6846\u7684ME\u201c\u53d1\u5c04\u5668\u201d\u5bf9\u81ea\u5df1\u683c\u7684\u5f71\u54cd\u8f6c\u6362\u6210\u4ee5\u81ea\u5df1\u4e3a\u4e2d\u5fc3\u7684\u8868\u73b0\u5f62\u5f0f\u5462\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u4e0d\u5c31\u662f\u6362\u4e86\u4e2a\u5750\u6807\u539f\u70b9\u5417&#8230;&#8230;\u50cf\u662f\u628a\u6cf0\u52d2\u5c55\u5f00\u4ece<math data-latex=\"(x-x_1)\"><semantics><mrow><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo>\u2212<\/mo><msub><mi>x<\/mi><mn>1<\/mn><\/msub><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x-x_1)<\/annotation><\/semantics><\/math>\u4e2d\u5fc3\u53d8\u6210<math data-latex=\"(x-x_2)\"><semantics><mrow><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo>\u2212<\/mo><msub><mi>x<\/mi><mn>2<\/mn><\/msub><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x-x_2)<\/annotation><\/semantics><\/math>\u4e00\u6837\uff0c\u611f\u89c9\u6ca1\u4ec0\u4e48\u7528\u5462&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u5475\u5475&#8230;&#8230;\u5355\u770b\u4e00\u6b21LE\u64cd\u4f5c\u786e\u5b9e\u4f1a\u6709\u8fd9\u79cd\u611f\u89c9\u5462\uff0c\u62ff\u9ed1\u677f\u4e0a\u7684\u56fe\u6765\u8bf4\uff0c\u5c31\u53ea\u662f\u628a\u6a59\u8272\u6846\u6846\u4e3a\u4e2d\u5fc3\u7684\u5c55\u5f00\u7684\u539f\u70b9\u79fb\u5230\u4e86\u7ea2\u8272\u6846\u6846\u91cc\u561b\u3002\u4f46\u662f\uff0c\u63a5\u4e0b\u6765\u7684\u4e00\u6b65\u5c31\u662f\u8fde\u63a5FMM\u5411\u4e0a\u4f20\u9012\u548c\u4e4b\u540e\u5411\u4e0b\u4f20\u9012\u7684\u6865\u6881\uff0c\u4e5f\u5c31\u662f\u591a\u6781\u5b50\u5230\u5c40\u90e8\uff08Multipole to Local\uff0cM2L\uff09\u64cd\u4f5c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u554a\uff0c\u6211\u66f4\u5728\u610f\u5411\u4e0b\u4f20\u9012\u5462\uff0c\u8df3\u8fc7\u5427~\uff08\u5fae\u7b11\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u554a\u554a\uff01evil\u540c\u5b66\u4e5f\u4f1a\u4f7f\u574f\u4e86\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u6211\u672c\u6765\u5c31\u662fevil\u554a&#8230;&#8230;\u561b\uff0cneuro\u5b8c\u5168\u662f\u53e6\u5916\u4e00\u4e2a\u5c42\u7ea7\u7684evil\u5c31\u662f\u4e86&#8230;&#8230;\u516b\u516d\u540c\u5b66\uff0c\u7ee7\u7eedM2L\u5427~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u597d\uff0c\u597d\u5427&#8230;&#8230;\u8fd8\u4e0d\u77e5\u9053evil\u7684\u59d0\u59d0\u662f\u4ec0\u4e48\u6837\u7684\u4eba\u5462&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1aM2L\uff0c\u5c31\u662f\u5bf9\u4e0e\u5b83\u201c\u8db3\u591f\u8fdc\u201d\u3001\u6ee1\u8db3\u591a\u6781\u5c55\u5f00\u6536\u655b\u6761\u4ef6\u7684\u683c\u5b50\uff0c\u5c06\u5176\u4ed6\u540c\u7ea7\u7684\u683c\u5b50\u7684ME\u5c55\u5f00\u5229\u7528LE\u8f6c\u6362\u6210\u4ee5\u81ea\u5df1\u4e3a\u539f\u70b9\u7684\u5c55\u5f00\u5f62\u5f0f\uff0c\u4e4b\u540e\u518d\u6c47\u603b\u8d77\u6765\uff0c\u8bb0\u5f55\u6210LE\u7684\u7cfb\u6570\uff0c\u6bd4\u5982<math data-latex=\"L_1,L_2,...\"><semantics><mrow><msub><mi>L<\/mi><mn>1<\/mn><\/msub><mo separator=\"true\">,<\/mo><msub><mi>L<\/mi><mn>2<\/mn><\/msub><mo separator=\"true\">,<\/mo><mi>.<\/mi><mi>.<\/mi><mi>.<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">L_1,L_2,&#8230;<\/annotation><\/semantics><\/math>\uff0c\u5c31\u662f\u4e3a\u4e86\u63a5\u4e0b\u6765\u7684\u5411\u4e0b\u4f20\u64ad\u628a\u540c\u7ea7\u7684ME\u4fe1\u606f\u90fd\u6536\u96c6\u8d77\u6765\u4e86\u5462\u3002\u6240\u4ee5\u8fd9\u4e5f\u662fFMM\u5f88\u6838\u5fc3\u7684\u4e00\u6b65\u5462\uff0c\u5c31\u662fevil\u521a\u521a\u60f3\u5230\u7684\uff1a<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">Evil\uff1a\u5509&#8230;&#8230;\u7ed3\u679c\u591a\u6781\u5b50\u5c55\u5f00\u4e5f\u6ca1\u80fd\u89e3\u51b3\u95ee\u9898\u5417\uff1f\u8981\u662f\u8fd9\u4e9b\u8ba1\u7b97\u50cf\u5411\u4e0a\u4f20\u64ad\u7684\u8fc7\u7a0b\u4e00\u6837\uff0c\u6bcf\u5c42\u90fd\u80fd\u5b58\u4e0b\u6765\u4e00\u4e2a\u4fe1\u606f\u7ed9\u81ea\u5df1\u7684\u4e0b\u4e00\u5c42\u7528\u5c31\u597d\u4e86\uff0c\u4e0d\u8fc7\u4e0b\u9762\u5c42\u7684\u8282\u70b9\u53c8\u5e94\u8be5\u600e\u4e48&#8230;&#8230;<a href=\"#HachirokuFMM1Quote2\">\u8df3\u8f6c<\/a><\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u54c7\uff0c\u96be\u9053\uff0c\u6211\u771f\u7684\u662f\u5929\u624d\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u5f53\u7136\u662f\u54e6\uff0cevil~\u8bfb\u5230\u8fd9\u91cc\u8fd8\u4e00\u904d\u90fd\u6ca1\u6709\u5012\u56de\u53bb\u7684\u8bfb\u8005\u6851\uff0c\u4e5f\u662f\u5929\u624d\u5462~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u8bfb\u8005\u6851\uff1f\u554a\uff0c\u5c31\u662f\u521a\u521a\u4e00\u76f4\u611f\u89c9\u5230\u7684\u89c6\u7ebf\u5417\uff1f\u591a\u6469\u591a\u6469~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u63a5\u4e0b\u6765\uff0c\u5c31\u662f\u5411\u4e0b\u4f20\u64ad\u7684\u8fc7\u7a0b\u5462\u3002\u7528\u521a\u521a\u5f97\u5230\u7684LE\u7684\u7cfb\u6570\uff0c\u518d\u5229\u7528\u5c40\u90e8\u5230\u5c40\u90e8\uff08Local to Local\uff0cL2L\uff09\u5411\u4e0b\u8ba9\u6bcf\u4e2a\u6846\u6846\u90fd\u6709\u81ea\u5df1\u7684LE\u7ea7\u6570\u7cfb\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u5230\u8fd9\u91cc\uff0c\u6bcf\u4e2a\u6846\u6846\u90fd\u6709\u4e86\u4e00\u7ec4ME\u7684\u7cfb\u6570\u548c\u4e00\u7ec4LE\u7684\u7cfb\u6570\u5462\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u55ef~\u6700\u540e\uff0c\u53ea\u8981\u5bf9\u6846\u6846\u91cc\u7684\u6930\u84c9\u4f7f\u7528\u81ea\u5df1\u7684LE\u5c55\u5f00\u7684\u7cfb\u6570\u8fd8\u539fLE\u5c55\u5f00\u7684\u7ea7\u6570\uff0c\u4e5f\u5c31\u5f97\u5230\u4e86\u52bf\u51fd\u6570\u4e86\uff0c\u529b\u4e5f\u5c31\u987a\u52bf\u5f97\u5230\u4e86\u3002\u8fd9\u6b65\u5c31\u662f\u5c40\u90e8\u5230\u7c92\u5b50\uff08Local to Particle\uff0cL2P\uff09\u3002\u54e6\uff0c\u5f53\u7136\u52bf\u51fd\u6570\u91cc\u9762\u8fd8\u8981\u8bb0\u5f97\u52a0\u4e0a\u8fd1\u573a\u90a3\u4e9b\u4e0d\u80fd\u7528\u7ea7\u6570\u8fd1\u4f3c\u7684\u6930\u84c9\u7684\u5f71\u54cd\u54e6~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u554a\uff0c\u4ece\u6930\u84c9\u5f00\u59cb\u8f6c\u4e86\u4e00\u5708\u56de\u5230\u6930\u84c9\u4e86\u5462\uff0c\u5176\u95f4\u5c31\u662f\u5c42\u5c42\u66f4\u65b0\u4e86\u5404\u79cd\u4fe1\u606f\uff0c\u5bf9\u539f\u672c\u4e24\u4e24\u7ec4\u5bf9\u8ba1\u7b97\u5f15\u529b\u7684\u7ea0\u7f20\u4e0d\u6e05\u7684\u95ee\u9898\u5efa\u7acb\u4e86\u7ed3\u6784\uff0c\u800c\u6bcf\u4e2a\u64cd\u4f5c\u90fd\u662f\u5bf9\u548c\u6930\u84c9\u4e2a\u6570\u6210\u6b63\u6bd4\u7684\u6846\u6570\u8fdb\u884c\u904d\u5386\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u4e5f\u8fd8\u662f<math data-latex=\"O(N)\"><semantics><mrow><mi>O<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>N<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">O(N)<\/annotation><\/semantics><\/math>\u5462\uff0cFMM\u603b\u4f53\u5c31\u4e00\u5b9a\u662f<math data-latex=\"O(N)\"><semantics><mrow><mi>O<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>N<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">O(N)<\/annotation><\/semantics><\/math>\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e86~\u867d\u7136\u611f\u89c9\u8fd9\u4e2a<math data-latex=\"O(N)\"><semantics><mrow><mi>O<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>N<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">O(N)<\/annotation><\/semantics><\/math>\u524d\u9762\u85cf\u8d77\u6765\u7684\u7cfb\u6570\u548c\u5e38\u6570\u9879\u4e00\u5b9a\u5927\u7684\u79bb\u8c31&#8230;&#8230;<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"916\" src=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/evil\u7684\u7b14\u8bb0-1-1024x916.png\" alt=\"\" class=\"wp-image-1460\" srcset=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/evil\u7684\u7b14\u8bb0-1-1024x916.png 1024w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/evil\u7684\u7b14\u8bb0-1-300x268.png 300w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/evil\u7684\u7b14\u8bb0-1-767x686.png 767w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/evil\u7684\u7b14\u8bb0-1-670x599.png 670w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/evil\u7684\u7b14\u8bb0-1.png 1326w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\uff08Evil\u7684\u7b14\u8bb0\uff09<\/figcaption><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u4e0d\u8fc7\uff0c\u5b9e\u9645\u4f7f\u7528\u8d77\u6765\u786e\u5b9e\u4f1a\u6bd4Barnes-Hut\u5feb\u5f88\u591a\u54e6\uff1f\u5728\u8ba1\u7b97\u4e8c\u7ef4\u5f15\u529b\u7684\u65f6\u5019\uff0c\u597d\u50cf\u53ea\u9700\u8981\u5927\u7ea6100k\u4ee5\u4e0a\u7684\u6930\u84c9FMM\u5c31\u80fd\u5feb\u8fc7B-H\u4e86\uff0c\u5f53\u7136\uff0c\u4e0d\u540c\u7684\u5b9e\u73b0\u4e5f\u4f1a\u6709\u8fd0\u884c\u901f\u5ea6\u4e0a\u7684\u5dee\u5f02\u5566\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u55ef&#8230;&#8230;\u867d\u7136\u611f\u89c9\u8bb2\u5b8c\u4e86\uff0c\u4f46\u662f\u611f\u89c9\u5fc3\u91cc\u8fd8\u662f\u6c89\u6c89\u7684\uff0c\u611f\u89c9\u6709\u597d\u591a\u8df3\u8fc7\u7684\u90e8\u5206\u6216\u8005\u7ec6\u8282\u4e0d\u6e05\u695a\u7684\u90e8\u5206\u5462&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u563f\u563f\uff0c\u5176\u5b9e\u6709\u90e8\u5206\u7ec6\u8282\u516b\u516d\u6211\u662f\u6545\u610f\u8df3\u8fc7\u7684\u5462\uff0c\u6bd4\u5982ME\u5c55\u5f00\u548cLE\u5c55\u5f00\u548c\u8fd9\u4e9bM2M\uff0cL2L\u7684\u4e0a\u4e0b\u4f20\u9012\u7684\u5177\u4f53\u5f62\u5f0f\u3002\u56e0\u4e3a\uff01\u4e0d\u53ea\u662f\u5f15\u529b\uff0c\u53ea\u8981\u662f\u80fd\u6709\u201c\u8fdc\u5904\u7684\u4f5c\u7528\u6ca1\u6709\u8fd1\u5904\u7684\u4f5c\u7528\u5f3a\uff0c\u53ef\u4ee5\u9002\u5f53\u5ffd\u7565\u201d\u7684\u6027\u8d28\u7684\u64cd\u4f5c\uff0c\u5c31\u53ef\u4ee5\u7528FMM\u6765\u5206\u5c42\u52a0\u901f\u8ba1\u7b97\u5462\uff01\u6bd4\u5982\u591a\u6781\u5b50\u8bde\u751f\u7684\u9886\u57df\u2014\u2014\u9759\u7535\u529b\uff0c\u8fd8\u6709\u58f0\u5b66\uff0c\u5206\u5b50\u52a8\u529b\u5b66\uff0c\u6d41\u4f53\u529b\u5b66\uff0c\u751a\u81f3\u662f\u673a\u5668\u5b66\u4e60\u548c\u91cf\u5b50\u5316\u5b66\u90fd\u80fd\u770b\u5230FMM\u7684\u8eab\u5f71\u5462\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u545c\u54c7\uff0c\u8fd9\u4e48\u4e00\u60f3\u786e\u5b9e\u5462\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u8fd9\u4e9b\u4e0d\u540c\u7684\u8fc7\u7a0b\u7684\u591a\u6781\u5b50\u5c55\u5f00\u548c\u5c40\u90e8\u5c55\u5f00\u4ee5\u53ca\u5e73\u79fb\u64cd\u4f5c\u7684\u5f62\u5f0f\u90fd\u5b8c\u5168\u4e0d\u540c\uff0c\u5f53\u7136\uff0c\u6536\u655b\u57df\u4e5f\u4f1a\u968f\u4e4b\u53d8\u5316\uff0c\u4ece\u800c\u8fd1\u573a\u548c\u8fdc\u573a\u7684\u5b9a\u4e49\u4e5f\u4f1a\u8ddf\u7740\u53d8\u5316\u5462\u3002\uff08\u770b\u5411evil\uff09\u770b\u7740evil\u540c\u5b66\u76b1\u7740\u7684\u7709\u5934\uff0c\u60f3\u5fc5evil\u4e5f\u60f3\u5230\u4e86\u5427\uff0c\u8981\u662f\u6709\u4e9b\u5f71\u54cd\u968f\u8ddd\u79bb\u4e0b\u964d\u5f88\u6162\u7684\uff0c\u53c8\u6216\u8005\u9891\u7387\/\u4fe1\u606f\u5bc6\u5ea6\u5f88\u9ad8\u7684\u573a\uff0cFMM\u53c8\u8be5\u5982\u4f55\u5e94\u5bf9\u5462\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u8fd9\u9700\u8981\u6d89\u53ca\u5230\u6211\u4eec\u5bf9\u7cbe\u5ea6\u7684\u8981\u6c42\u4e86\u5462\u3002\u4e4b\u524d\u8bf4\u7684ME\uff0cLE\u7b49\u7b49\u64cd\u4f5c\uff0c\u5b9e\u9645\u4e0a\u90fd\u662f\u5047\u8bbe\u4e86\u5c55\u5f00\u7684\u7ea7\u6570\u5c55\u5f00\u9636\u6570<math data-latex=\"p\"><semantics><mi>p<\/mi><annotation encoding=\"application\/x-tex\">p<\/annotation><\/semantics><\/math>\u662f\u4e00\u4e2a\u5b9a\u503c\uff0c\u624d\u5f97\u51fa\u4e86<math data-latex=\"O(N)\"><semantics><mrow><mi>O<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>N<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">O(N)<\/annotation><\/semantics><\/math>\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u7684\u7ed3\u8bba\u5462\uff0c\u5b9e\u9645\u4e0a\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5728\u4e8c\u7ef4\u662f<math data-latex=\"O(pN)\"><semantics><mrow><mi>O<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>p<\/mi><mi>N<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">O(pN)<\/annotation><\/semantics><\/math>\uff0c\u4e09\u7ef4\u81f3\u5c11\u662f<math data-latex=\"O(p^2N)\"><semantics><mrow><mi>O<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><msup><mi>p<\/mi><mn>2<\/mn><\/msup><mi>N<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">O(p^2N)<\/annotation><\/semantics><\/math>\u5462\uff0c\u56e0\u4e3a\u8981\u7528\u7403\u8c10\u5c55\u5f00\u6765\u66ff\u4ee3\u591a\u6781\u5b50\u5c55\u5f00\u4e86\u3002\u8981\u662f\u5c55\u5f00\u9636\u6570<math data-latex=\"p\"><semantics><mi>p<\/mi><annotation encoding=\"application\/x-tex\">p<\/annotation><\/semantics><\/math>\u548c<math data-latex=\"N\"><semantics><mi>N<\/mi><annotation encoding=\"application\/x-tex\">N<\/annotation><\/semantics><\/math>\u6709\u51fd\u6570\u5173\u7cfb\u7684\u8bdd\uff0c\u4e5f\u5c31\u662f\u8bf4\u4e0d\u662f\u56fa\u5b9a\u5c55\u5f00\u9636\u6570\u7684\u65f6\u5019\uff0cFMM\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e00\u822c\u4f1a\u9000\u5316\u6210<math data-latex=\"O(N\\log^\\epsilon N)\"><semantics><mrow><mi>O<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>N<\/mi><mspace width=\"0.1667em\"><\/mspace><msup><mi>log<\/mi><mi>\u03f5<\/mi><\/msup><mo>\u2061<\/mo><mspace width=\"0.1667em\"><\/mspace><mi>N<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">O(N\\log^\\epsilon N)<\/annotation><\/semantics><\/math>\u5462\uff0c<math data-latex=\"\\epsilon\"><semantics><mi>\u03f5<\/mi><annotation encoding=\"application\/x-tex\">\\epsilon<\/annotation><\/semantics><\/math>\u5177\u4f53\u662f\u591a\u5c11\u4e5f\u8981\u770b\u662f\u5bf9\u4ec0\u4e48\u573a\u8fdb\u884c\u8ba1\u7b97\u4e86\uff0c\u8bf4\u4e0d\u5b9a\u4f1a\u6bd4Barnes-Hut\u7b97\u6cd5\u8fd8\u6162\u5462\u3002\u5f53\u7136\uff0c\u8981\u662f\u78b0\u5230\u975e\u5e38\u6781\u7aef\u7684\u60c5\u51b5\uff0c\u6bd4\u5982\u6240\u6709\u6930\u84c9\u90fd\u805a\u5728\u4e00\u56e2\uff0c\u90a3\u90fd\u53ea\u80fd\u8003\u8651\u6210\u8fd1\u573a\u5904\u7406\uff0c\u5c31\u9000\u5316\u6210\u6734\u7d20\u65b9\u6cd5\u7684<math data-latex=\"O(N^2)\"><semantics><mrow><mi>O<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><msup><mi>N<\/mi><mn>2<\/mn><\/msup><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">O(N^2)<\/annotation><\/semantics><\/math>\u4e86\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u4e0d\u8fc7\uff0c\u60f3\u60f3\u6930\u84c9\u9762\u5305\u4e0a\u53ea\u6709\u4e00\u4e2a\u6930\u84c9\u5411\u4e0a\u5806\u6210\u7684\u9ad8\u5854\uff0c\u4e5f\u662f\u633a\u597d\u7b11\u7684\u5462~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u5475\u5475\uff0c\u662f\u554a\uff0c\u90a3\u8001\u677f\u4e5f\u662f\u8d39\u5fc3\u4e86\u5462~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u8fd8\u6709\u524d\u9762\u63d0\u5230\u7684\u95ee\u9898\u5462\uff1a<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u8981\u662f\u662f\u52bf\u7684\u8bdd\u5c31\u53ef\u4ee5\u5f88\u7b80\u5355\u7684\u76f4\u63a5\u8ba9\u8fdc\u573a\u7684\u5404\u4e2a\u6930\u84c9\u56e2\u7684ME\u7684\u52bf\u52a0\u548c\u5728\u4e00\u8d77\u6c42\u51fa\u6574\u4f53\u7684\u52bf\u4e86\u5427\uff1f\u561b\uff0c\u867d\u7136\u6309\u7167\u540c\u6837\u7684\u601d\u60f3\uff0c\u4e5f\u53ef\u4ee5\u5148\u6c42\u51fa\u6574\u4f53\u7684\u529b\u573a\u4e4b\u7c7b\u7684&#8230;&#8230;\u8fd9\u79cd\u7ec6\u8282\u5c31\u4e0d\u8981\u5728\u610f\u4e86\u5427\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u5f88\u5728\u610f\u554a\uff01<a href=\"#HachirokuFMM1Quote3\">\u8df3\u8f6c<\/a><\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u5176\u5b9e\u662f\u53ef\u4ee5\u7684\uff0c\u4f46\u662f\u7528\u77e2\u91cf\u573a\u7684ME\uff0cLE\u7b49\u7b49\u64cd\u4f5c\u7684\u5c55\u5f00\u4f1a\u5f88\u9ebb\u70e6\uff0c\u4e5f\u4f1a\u589e\u52a0\u7a7a\u95f4\u590d\u6742\u5ea6\u5462\u3002\u4f46\u662f\u5bf9\u975e\u4fdd\u5b88\u529b\uff0c\u6bd4\u5982\u6709\u6469\u64e6\u529b\u7b49\u7b49\uff0c\u56e0\u4e3a\u53ef\u4ee5\u7ecf\u8fc7\u4e00\u4e2a\u56de\u5230\u539f\u70b9\u7684\u4f4d\u79fb\u4e4b\u540e\u80fd\u91cf\u5374\u4e0d\u4e00\u6837\uff0c\u6240\u4ee5\u5b9a\u4e49\u4e0d\u4e86\u52bf\u51fd\u6570\u8fd9\u4e48\u4fbf\u5229\u7684\u4e1c\u897f\uff0c\u4e5f\u53ea\u80fd\u786c\u7740\u5934\u76ae\u7528\u529b\u573a\u8fd9\u79cd\u77e2\u91cf\u573a\u5f53\u5c55\u5f00\u7684\u5bf9\u8c61\u4e86\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u8fd8\u6709Evil\u4e4b\u524d\u60f3\u7684\uff1a<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u7ecf\u8fc7P2M\u548cM2M\u4e4b\u540e\uff0c\u6240\u6709\u7684\u8282\u70b9\uff0c\u4e5f\u5c31\u662f\u6240\u6709\u7684\u6846\u6846\uff0c\u90fd\u8ba1\u7b97\u548c\u50a8\u5b58\u4e86\u4e00\u4efd\u81ea\u5df1\u7684ME\u5c55\u5f00\u7684\u7ea7\u6570\u7684\u7cfb\u6570\u5462\uff0c\u5c31\u50cf<math data-latex=\"M_1,M_2,...\"><semantics><mrow><msub><mi>M<\/mi><mn>1<\/mn><\/msub><mo separator=\"true\">,<\/mo><msub><mi>M<\/mi><mn>2<\/mn><\/msub><mo separator=\"true\">,<\/mo><mi>.<\/mi><mi>.<\/mi><mi>.<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">M_1,M_2,&#8230;<\/annotation><\/semantics><\/math>\u3002\u8fd9\u4e2a\u5411\u4e0a\u4f20\u64ad\u7684\u8fc7\u7a0b\u662f\u5bf9\u6240\u6709\u6846\u6846\u8fdb\u884c\u7684\uff0c\u800c\u6846\u6846\u7684\u6570\u91cf\u548c\u603b\u5171\u6930\u84c9\u7684\u6570\u91cf\u662f\u6210\u7ebf\u6027\u5173\u7cfb\u7684\u5462\uff0c\u6240\u4ee5\u8fd9\u4e00\u6b65\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u662f<math data-latex=\"O(N)\"><semantics><mrow><mi>O<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>N<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">O(N)<\/annotation><\/semantics><\/math>\u54e6\u3002<\/p>\n<\/blockquote>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">Evil\uff1a\uff08\u603b\u611f\u89c9\u602a\u602a\u7684&#8230;&#8230;\u771f\u7684\u662f\u7ebf\u6027\u5417\uff1f\uff09<a href=\"#HachirokuFMM1Quote4\">\u8df3\u8f6c<\/a><\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u4e0d\u662f\uff0c\u516b\u516d\u540c\u5b66\u600e\u4e48\u4f1a\u77e5\u9053\u6211\u5728\u60f3\u4ec0\u4e48\u554a\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u6bd5\u7adfevil\u540c\u5b66\u5f53\u65f6\u7684\u8868\u60c5\u5c31\u662f\u8fd9\u79cd\u8868\u60c5\u561b\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u6211\u771f\u7684\u6709\u8fd9\u4e48\u597d\u61c2\u5417&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u5173\u4e8eFMM\u672c\u8eab\u5728\u201c\u529b\u7684\u8ba1\u7b97\u201d\u8fd9\u90e8\u5206\u662f\u7ebf\u6027\u65f6\u95f4\u590d\u6742\u5ea6\u7684\uff0c\u9664\u4e86\u521a\u521a\u5bf9\u5c55\u5f00\u7ea7\u6570<math data-latex=\"p\"><semantics><mi>p<\/mi><annotation encoding=\"application\/x-tex\">p<\/annotation><\/semantics><\/math>\u7684\u5f71\u54cd\u4e4b\u5916\uff0c\u57fa\u672c\u662f\u6ca1\u6709\u5f02\u8bae\u7684\u3002\u4f46\u662f\u5173\u4e8e\u5efa\u7acb\u56db\u53c9\/\u516b\u53c9\u6811\uff0c\u4e5f\u5c31\u662f\u6846\u6846\u7684\u6570\u91cf\u548c\u603b\u5171\u6930\u84c9\u7684\u6570\u91cf\u662f\u4e0d\u662f\u7ebf\u6027\u64cd\u4f5c\u5462\uff1f\u4e5f\u662f\u6bd4\u8f83\u590d\u6742\u7684\u95ee\u9898\u5462\uff0c\u4e0d\u8fc7\u7b80\u5355\u6765\u8bf4\uff0c\u5728\u5de5\u7a0b\u4e0a\u6211\u4eec\u4f1a\u8ba4\u4e3a\u662f\u7ebf\u6027\u7684\u3002\u56e0\u4e3a\uff0c\u5176\u5b9e\uff0cevil\u9171\u77e5\u9053\u5417\uff0c\u6240\u6709\u7684\u7b97\u6cd5\u90fd\u4e0d\u53ef\u80fd\u662f\u7ebf\u6027\u7684~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u8bf6\uff1f\u8bf6\uff1f\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u56e0\u4e3a\u968f\u7740<math data-latex=\"N\"><semantics><mi>N<\/mi><annotation encoding=\"application\/x-tex\">N<\/annotation><\/semantics><\/math>\u7684\u589e\u5927\uff0c\u8ba1\u7b97\u673a\u91cc\u9762\u8981\u7528\u66f4\u591abit\u6765\u8868\u793a<math data-latex=\"N\"><semantics><mi>N<\/mi><annotation encoding=\"application\/x-tex\">N<\/annotation><\/semantics><\/math>\u6216\u8005<math data-latex=\"N\"><semantics><mi>N<\/mi><annotation encoding=\"application\/x-tex\">N<\/annotation><\/semantics><\/math>\u7684\u5730\u5740\u5462\uff0c\u90a3\u4e48\u53ea\u8981\u6d89\u53ca\u5230\u8981\u5b58\u53d6\u6570\u7684\u60c5\u51b5\uff0c\u5c31\u9700\u8981\u8003\u8651\u8fd9\u4e2a\u8d85\u7ea7\u5c0f\uff0c\u4f46\u662f\u786e\u5b9e\u548c<math data-latex=\"\\log N\"><semantics><mrow><mrow><mi>log<\/mi><mo>\u2061<\/mo><mspace width=\"0.1667em\"><\/mspace><\/mrow><mi>N<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\log N<\/annotation><\/semantics><\/math>\u6b63\u76f8\u5173\u7684\u53d8\u91cf\uff0c\u4e0d\u662f\u5417~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u786e\uff0c\u786e\u5b9e&#8230;&#8230;\u4f46\u662f\u4e5f\u592a\u94bb\u725b\u89d2\u5c16\u4e86\u611f\u89c9&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u55ef\uff0c\u6240\u4ee5\u6d89\u53ca\u5230\u73b0\u5b9e\u7684\uff0c\u5176\u5b9e\u5f88\u591a\u4e1c\u897f\u90fd\u6709\u5f88\u591a\u9690\u6027\u7684\u524d\u63d0\u5462~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u770b\u8d39\u6069\u66fc\u7269\u7406\u5b66\u8bb2\u4e49\u548c\u5176\u4ed6\u7684\u7269\u7406\u77e5\u8bc6\u7684\u65f6\u5019\u6df1\u6709\u4f53\u4f1a\u554a&#8230;&#8230;\u5373\u4f7f\u5e7f\u4e49\u76f8\u5bf9\u8bba\u8bf4\u662f\u53ea\u9700\u8981\u7b49\u6548\u539f\u7406\u548c\u5e7f\u4e49\u76f8\u5bf9\u6027\u539f\u7406\uff0c\u63a8\u7406\u524d\u8fd8\u9700\u8981\u76f8\u4fe1\u7269\u7406\u5b9a\u5f8b\u7684\u5e7f\u4e49\u534f\u53d8\u6027\uff0c\u5b9e\u9645\u5e94\u7528\u7684\u65f6\u5019\u8fd8\u9700\u8981\u8003\u8651\u80fd\u91cf\u6761\u4ef6\u7b49\u7b49\u5462&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u4e0d\u8fc7\uff0c\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\uff0c\u6709\u5f88\u591a\u79cd\u6539\u8fdb\u7248\u672c\u7684FMM\u5462\uff0c\u6bd4\u5982\u81ea\u9002\u5e94FMM\u8ba9\u7f51\u683c\u5212\u5206\u66f4\u9ad8\u6548\uff0c\u8fd8\u6709Kernel-independent FMM (KIFMM)\uff0c\u5c31\u4e0d\u9700\u8981\u8003\u8651\u8fd0\u7b97\u7684\u6838\u662f\u5f15\u529b\u8fd8\u662f\u4ec0\u4e48\u5176\u4ed6\u7684\u4e86\uff0c\u9002\u7528\u4e8e\u4efb\u610f\u5e73\u6ed1\u6838\u51fd\u6570\u3002\u8fd8\u6709&#8230;&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\uff08\u809a\u5b50\u5495\u5495\u53eb\uff09\uff08\u8138\u7ea2\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u554a\uff0c\u624d\u6ce8\u610f\u5230\u65f6\u95f4\uff0c\u600e\u4e48\u611f\u89c9\u5916\u9762\u90fd\u5feb\u665a\u4e0a\u4e86\uff01\u5bf9\u4e0d\u8d77\u554a\u516b\u516d\u9171\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u55ef\uff0c\u6ca1\u5173\u7cfb\u54e6\uff0c\u5012\u4e0d\u5982\u8bf4\u5f88\u5f00\u5fc3\u5462\uff01\u4e4b\u540e\u7684\u4e00\u4e9b\u7410\u788e\u7684\u5185\u5bb9\uff0c\u5c31\u7528\u90ae\u4ef6\u53d1\u7ed9\u4f60\u5427~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u597d\u554a\u3002\u8ba9\u6211\u6765\u5e26\u516b\u516d\u540c\u5b66\u5403\u70b9\u9664\u4e86\u6930\u84c9\u9762\u5305\u7684\u5176\u4ed6\u7684\u5427\uff01\u7ae0\u9c7c\u5c0f\u4e38\u5b50\u600e\u4e48\u6837\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u516b\u516d\uff1a\u60f3\u8981\u7269\u7406\u53e3\u5473\u7684\u5462~<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Evil\uff1a\u597d~<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"575\" src=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u6821\u95e8\u573a\u666f-1024x575.jpg\" alt=\"\" class=\"wp-image-1470\" srcset=\"https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u6821\u95e8\u573a\u666f-1024x575.jpg 1024w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u6821\u95e8\u573a\u666f-300x168.jpg 300w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u6821\u95e8\u573a\u666f-768x431.jpg 768w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u6821\u95e8\u573a\u666f-1536x862.jpg 1536w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u6821\u95e8\u573a\u666f-2048x1150.jpg 2048w, https:\/\/www.kakosci.com\/wp-content\/uploads\/2026\/08\/\u516b\u516d\u4e0eevil-neuro\u6821\u95e8\u573a\u666f-670x376.jpg 670w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\uff08\u653e\u5b66\u540e\u7684\u4e24\u4eba\uff09<\/figcaption><\/figure>\n<\/div>\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-medium-font-size\" id=\"\u6b63\u6587\u7ed3\u675f\">\u53c2\u8003\u8d44\u6599<\/h2>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u76f8\u5173\u94fe\u63a5\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ecb\u7ecdFMM\u7684\u6587\u7ae0\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/zhuanlan.zhihu.com\/p\/2061732285787936506\" target=\"_blank\" rel=\"noopener\">https:\/\/zhuanlan.zhihu.com\/p\/2061732285787936506<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/blog.csdn.net\/weixin_42849849\/article\/details\/153407237\" target=\"_blank\" rel=\"noopener\">https:\/\/blog.csdn.net\/weixin_42849849\/article\/details\/153407237<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.bohrium.com\/sciencepedia\/feynman\/keyword\/multilevel_fast_multipole_algorithm_(mlfma)\" target=\"_blank\" rel=\"noopener\">https:\/\/www.bohrium.com\/sciencepedia\/feynman\/keyword\/multilevel_fast_multipole_algorithm_(mlfma)<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b9e\u73b0FMM\u7684github\u5e93\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/github.com\/davidson16807\/fast-multipole-method\" target=\"_blank\" rel=\"noopener\">https:\/\/github.com\/davidson16807\/fast-multipole-method<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ecb\u7ecd\u548c\u5b9e\u73b0FMM\u7684\u89c6\u9891\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"video-container\"><iframe loading=\"lazy\" title=\"The Fastest Gravity Algorithm You&amp;apos;ve Never Heard Of: Fast Multipole Method\" width=\"740\" height=\"416\" src=\"https:\/\/www.youtube.com\/embed\/FhMftauQZqU?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/div>\n<\/div><\/figure>\n\n\n\n<figure class=\"wp-block-embed is-type-video 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