{"id":89,"date":"2023-11-06T22:00:00","date_gmt":"2023-11-06T14:00:00","guid":{"rendered":"http:\/\/47.92.241.177\/?p=89"},"modified":"2025-09-25T16:36:22","modified_gmt":"2025-09-25T08:36:22","slug":"%e6%a6%82%e7%8e%87%e8%ae%ba%e4%b8%8d%e5%ad%98%e5%9c%a8%e4%ba%86%ef%bc%9f%e6%8a%9b%e4%ba%8635%e4%b8%87%e6%ac%a1%e7%a1%ac%e5%b8%81%e5%90%8e%ef%bc%8c%e4%bb%96%e4%bb%ac%e5%8f%91%e7%8e%b0%e4%b8%a4%e9%9d%a2","status":"publish","type":"post","link":"https:\/\/www.huanqiukexue.com\/?p=89","title":{"rendered":"\u6982\u7387\u8bba\u4e0d\u5b58\u5728\u4e86\uff1f\u629b\u4e8635\u4e07\u6b21\u786c\u5e01\u540e\uff0c\u4ed6\u4eec\u53d1\u73b0\u4e24\u9762\u7684\u7ed3\u679c\u4e0d\u662f1:1"},"content":{"rendered":"\n<p><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"480\" height=\"270\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin01.gif\" alt=\"\" class=\"wp-image-303\"\/><figcaption class=\"wp-element-caption\">\u56fe\u7247\u6765\u6e90\uff1aGiphy<\/figcaption><\/figure>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8fd9\u662f\u4e00\u4efd\u6700\u79d1\u5b66\u7684\u629b\u786c\u5e01\u6559\u7a0b\u3002<\/code><\/pre>\n\n\n\n<p>\u64b0\u6587 | \u51ac\u9e22<\/p>\n\n\n\n<p>\u5ba1\u6821 | \u6817\u5b50<\/p>\n\n\n\n<p>\u6211\u4eec\u5e38\u4f1a\u53cd\u590d\u7ea0\u7ed3\u67d0\u4e2a\u95ee\u9898\u800c\u96be\u4ee5\u8fc5\u901f\u4f5c\u51fa\u51b3\u5b9a\uff0c\u6bd4\u5982\uff0c\u4eca\u665a\u5403\u70b8\u9171\u9762\u8fd8\u662f\u9ea6\u5f53\u52b3\uff1b\u53c8\u6bd4\u5982\uff0c\u8981\u4e0d\u8981\u63a5\u53d7\u67d0\u4e2a\u5de5\u4f5c\u673a\u4f1a\uff1b\u6216\u8005\u662f\u4eca\u665a\u8981\u4e0d\u8981\u53bb\u8ddfTA\u8868\u767d\u2026\u2026<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"440\" height=\"440\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin02.gif\" alt=\"\" class=\"wp-image-304\"\/><figcaption class=\"wp-element-caption\">\u56fe\u7247\u6765\u6e90\uff1aGIPHY<\/figcaption><\/figure>\n\n\n\n<p>\u8fd9\u65f6\uff0c\u5f88\u591a\u4eba\u4f1a\u629b\u4e2a\u786c\u5e01\uff0c\u7528\u786c\u5e01\u7684\u6b63\u53cd\u9762\u66ff\u81ea\u5df1\u505a\u51fa\u9009\u62e9\u3002<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u751a\u81f3\u5728\u4e00\u4e9b\u91cd\u5927\u573a\u5408\uff0c\u4eba\u4eec\u4e5f\u5e38\u7528\u629b\u786c\u5e01\u6765\u505a\u91cd\u8981\u51b3\u5b9a<\/mark>\uff0c\u6bd4\u5982\u4e16\u754c\u676f\u7403\u8d5b\u4e2d\uff0c\u88c1\u5224\u5458\u4f1a\u901a\u8fc7\u629b\u786c\u5e01\u51b3\u5b9a\u54ea\u53ea\u961f\u4f0d\u5148\u5f00\u7403\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"478\" height=\"266\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin03.gif\" alt=\"\" class=\"wp-image-305\"\/><figcaption class=\"wp-element-caption\">\u56fe\u7247\u6765\u6e90\uff1aGIPHY<\/figcaption><\/figure>\n\n\n\n<p>\u521d\u4e2d\u6570\u5b66\u8bfe\u672c\u544a\u8bc9\u6211\u4eec\uff0c\u629b\u4e00\u679a\u8d28\u5730\u5747\u5300\u7684\u786c\u5e01\uff0c\u5f97\u5230\u6b63\u53cd\u9762\u7684\u6982\u7387\u76f8\u7b49\u3002\u56e0\u6b64\uff0c\u4eba\u4eec\u8ba4\u4e3a\u786c\u5e01\u66ff\u81ea\u5df1\u505a\u51fa\u7684\u9009\u62e9\u4e00\u5b9a\u662f\u516c\u6b63\u7684\uff0c\u6ca1\u6709\u79c1\u5fc3\u7684\u3002<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u4e0d\u5c11\u6570\u5b66\u5bb6\u4e5f\u505a\u8fc7\u5b9e\u9a8c\u8bc1\u660e\uff0c\u5f53\u629b\u786c\u5e01\u6b21\u6570\u8db3\u591f\u591a\u65f6\uff0c\u5f97\u5230\u6b63\u53cd\u9762\u7684\u9891\u6b21\u63a5\u8fd11:1<\/mark>\uff0c\u5305\u62ec\u66fe\u629b\u4e862\u4e07\u591a\u6b21\u786c\u5e01\u7684\u6570\u7406\u7edf\u8ba1\u5b66\u521b\u59cb\u8005\u5361\u5c14\u00b7\u76ae\u5c14\u900a\uff08Karl Pearson\uff09\u3002<\/p>\n\n\n\n<p>\u4f46\u5982\u679c\u6211\u73b0\u5728\u544a\u8bc9\u4f60\uff0c\u629b\u786c\u5e01\u5f97\u5230\u4e24\u9762\u5411\u4e0a\u7684\u6982\u7387\u5176\u5b9e\u4e0d\u76f8\u7b49\uff0c\u4f60\u53c8\u600e\u4e48\u770b\uff1f<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u4e24\u9762\u6982\u7387\u4e0d\u76f8\u7b49<\/mark><\/p>\n\n\n\n<p>\u6700\u8fd1\uff0c\u4e00\u7fa4\u65e0\u804a\u7684\u79d1\u5b66\u5bb6\u805a\u5728\u4e00\u8d77\uff0c\u752846\u79cd\u4e0d\u540c\u7684\u786c\u5e01<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u629b\u4e86350 757\u6b21<\/mark>\uff0c\u603b\u8017\u65f6\u7ea620\u4e2a\u5c0f\u65f6\u3002\u7136\u540e\u4ed6\u4eec\u53d1\u73b0\uff0c<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u629b\u51fa\u7684\u786c\u5e01\u843d\u4e0b\u540e\uff0c\u5411\u4e0a\u7684\u90a3\u4e00\u9762\u548c\u786c\u5e01\u629b\u51fa\u524d\u7684\u521d\u59cb\u9762\u76f8\u540c\u7684\u6982\u7387\u7565\u9ad8\uff0c\u7ea6\u4e3a51%<\/mark>\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"180\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin04.gif\" alt=\"\" class=\"wp-image-306\"\/><figcaption class=\"wp-element-caption\">\u4ed6\u4eec\u5c31\u8fd9\u6837\u629b\u4e8620\u4e2a\u5c0f\u65f6\u7684\u786c\u5e01\uff08\u6765\u6e90\uff1aCoin Tossing Team via YouTube\uff09<\/figcaption><\/figure>\n\n\n\n<p>\u4e5f\u5c31\u662f\u8bf4\uff0c<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u5047\u5982\u4f60\u5c06\u786c\u5e01\u629b\u79bb\u624b\u4e2d\u65f6\uff0c\u5b83\u662f\u6b63\u9762\u5411\u4e0a\uff0c\u90a3\u6700\u7ec8\u786c\u5e01\u843d\u4e0b\u65f6\uff0c\u5176\u6b63\u9762\u5411\u4e0a\u7684\u6982\u7387\u66f4\u9ad8\uff0c\u53cd\u4e4b\u4ea6\u7136<\/mark>\u3002<\/p>\n\n\n\n<p>\u4ed6\u4eec\u8fd8\u53d1\u73b0\uff0c\u4e00\u4e9b\u4eba\u629b\u786c\u5e01\u5f97\u5230\u548c\u8d77\u59cb\u9762\u76f8\u540c\u7684\u90a3\u4e00\u9762\u7684\u6982\u7387\u66f4\u9ad8\uff1b\u800c\u53e6\u4e00\u4e9b\u4eba\u5219\u66f4\u63a5\u8fd1\u7406\u8bba\u503c\uff0c\u5373\u5f97\u5230\u4e24\u9762\u7684\u6982\u7387\u90fd\u662f50%\u3002\u4ed6\u4eec\u5c06\u8fd9\u9879\u7814\u7a76\u53d1\u8868\u4e86\u5728\u9884\u5370\u672c\u7f51\u7ad9arXiv\u4e0a\uff0c\u8fd8\u672a\u7ecf\u540c\u884c\u8bc4\u5ba1\u3002<\/p>\n\n\n\n<p>\u5f88\u663e\u7136\uff0c\u8fd9\u8bf4\u660e\uff0c<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u7279\u5b9a\u7684\u629b\u786c\u5e01\u65b9\u5f0f\uff0c\u6216\u8bb8\u53ef\u4ee5\u8ba9\u7279\u5b9a\u9762\u5411\u4e0a\u7684\u6982\u7387\u66f4\u9ad8<\/mark>\u3002<\/p>\n\n\n\n<p>\u90a3\u4e48\uff0c\u6709\u6ca1\u6709\u53ef\u80fd\u901a\u8fc7\u7ec3\u4e60\uff0c\u8ba9\u629b\u51fa\u53bb\u7684\u786c\u5e01\u843d\u4e0b\u65f6\uff0c\u6c38\u8fdc\u662f\u81ea\u5df1\u60f3\u8981\u7684\u90a3\u4e00\u9762\u5411\u4e0a\u5462\uff1f<\/p>\n\n\n\n<p>\u7406\u8bba\u4e0a\u662f\u53ef\u4ee5\u7684\u3002<\/p>\n\n\n\n<p>\u6570\u5b66\u5bb6\u4f69\u5c14\u897f\u30fb\u6234\u5eb7\u5c3c\u65af\uff08Persi Diaconis\uff09\u5728\u6210\u4e3a\u7f8e\u56fd\u65af\u5766\u798f\u5927\u5b66\u7684\u6570\u5b66\u548c\u7edf\u8ba1\u5b66\u6559\u6388\u4e4b\u524d\uff0c\u66fe\u505a\u8fc7\u9b54\u672f\u5e08\u3002\u4ed6\u7ecf\u5e38\u7814\u7a76\u4e0e\u201c\u8d4c\u535a\u201d\u76f8\u5173\u7684\u6570\u5b66\uff0c\u6bd4\u5982\u5982\u4f55\u6d17\u724c\u3001\u5982\u4f55\u63b7\u9ab0\u5b50\uff0c\u5f53\u7136\u4e5f\u5305\u62ec\u5982\u4f55\u629b\u786c\u5e01\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"720\" height=\"720\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin.png\" alt=\"\" class=\"wp-image-307\" srcset=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin.png 720w, https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin-300x300.png 300w, https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin-150x150.png 150w\" sizes=\"auto, (max-width: 720px) 100vw, 720px\" \/><figcaption class=\"wp-element-caption\">\u70ed\u8877\u4e8e\u7eb8\u724c\u3001\u9ab0\u5b50\u3001\u8f6e\u76d8\u7b49\u7684\u65af\u5766\u798f\u6570\u5b66\u5bb6\u4f69\u5c14\u897f\u00b7\u6234\u5eb7\u5c3c\u65af\uff08\u56fe\u7247\u6765\u6e90\uff1aStanford University\uff09<\/figcaption><\/figure>\n\n\n\n<p>\u65e9\u57282007\u5e74\uff0c\u6234\u5eb7\u5c3c\u65af\u548c\u4ed6\u7684\u56e2\u961f\u5c31\u5728\u8bba\u6587\u4e2d\u5c55\u793a\u4e86\u4e00\u4e2a\u629b\u786c\u5e01\u88c5\u7f6e\uff0c\u8fd9\u4e2a\u88c5\u7f6e\u5c06\u786c\u5e01\u629b\u51fa\u540e\u843d\u5230\u6307\u5b9a\u4f4d\u7f6e\uff0c<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u6700\u7ec8\u786c\u5e01\u5411\u4e0a\u7684\u90a3\u4e00\u9762\u5728100%\u7684\u60c5\u51b5\u4e0b\u90fd\u4e0e\u5b83\u7684\u8d77\u59cb\u9762\u76f8\u540c<\/mark>\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1136\" height=\"822\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin01.png\" alt=\"\" class=\"wp-image-308\" srcset=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin01.png 1136w, https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin01-300x217.png 300w, https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin01-1024x741.png 1024w, https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin01-768x556.png 768w\" sizes=\"auto, (max-width: 1136px) 100vw, 1136px\" \/><figcaption class=\"wp-element-caption\">\u6234\u5eb7\u5c3c\u65af\u548c\u540c\u4e8b\u505a\u51fa\u7684\u629b\u786c\u5e01\u88c5\u7f6e\uff0c\u629b\u51fa\u7684\u786c\u5e01\u80fd100%\u5f97\u5230\u4e0e\u8d77\u59cb\u9762\u76f8\u540c\u7684\u90a3\u4e00\u9762\uff08Diaconis et al, 2007\uff09<\/figcaption><\/figure>\n\n\n\n<p>\u800c\u4eba\u7c7b\u5728\u7528\u624b\u629b\u786c\u5e01\u65f6\uff0c\u4e5f\u53ef\u4ee5\u8fbe\u5230\u8fd9\u6837\u7684\u6548\u679c\uff0c\u6bd4\u5982<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u4e00\u4e9b\u9b54\u672f\u5e08\u5c31\u53ef\u4ee5\u901a\u8fc7\u4e00\u4e9b\u6280\u5de7\u63a7\u5236\u629b\u786c\u5e01\u7684\u7ed3\u679c<\/mark>\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"510\" height=\"287\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin11.gif\" alt=\"\" class=\"wp-image-309\"\/><figcaption class=\"wp-element-caption\">\u9b54\u672f\u5e08\u80fd\u63a7\u5236\u629b\u786c\u5e01\u7684\u7ed3\u679c\uff08\u6765\u6e90\uff1aSCAM NATION via youtube\uff09<\/figcaption><\/figure>\n\n\n\n<p>\u5176\u5b9e\u5982\u679c\u638c\u63e1\u4e86\u539f\u7406\uff0c\u591a\u52a0\u7ec3\u4e60\uff0c\u4f60\u4e5f\u53ef\u4ee5\u505a\u5230\u3002\u6240\u4ee5\u6211\u4eec\u5c31\u5148\u6765\u5b66\u4e60\u4e00\u4e0b\u539f\u7406\uff0c\u7136\u540e\u5927\u5bb6\u56de\u5bb6\u81ea\u5df1\u7ec3\u4e60\u3002<\/p>\n\n\n\n<p>\u9996\u5148\u6211\u4eec\u9700\u8981\u77e5\u9053\uff0c\u6807\u51c6\u60c5\u51b5\u4e0b\uff0c\u629b\u5411\u7a7a\u4e2d\u7684\u786c\u5e01\u662f\u600e\u6837\u8fd0\u52a8\u7684\u3002<\/p>\n\n\n\n<p>\u5ffd\u7565\u7a7a\u6c14\u963b\u529b\u7684\u5f71\u54cd\uff0c\u5f53\u6211\u4eec\u5c06\u786c\u5e01\u629b\u5411\u7a7a\u4e2d\uff0c<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u786c\u5e01\u4f1a\u6cbf\u7740\u4e00\u4e2a\u4f4d\u4e8e\u786c\u5e01\u5e73\u9762\u4e14\u5e73\u884c\u4e8e\u5730\u9762\u7684\u201c\u8f74\u201d\uff0c\u505a\u7ffb\u8f6c\u8fd0\u52a8<\/mark>\u3002\u5b66\u8fc7\u7269\u7406\u7684\u670b\u53cb\u4eec\u53ef\u4ee5\u5f88\u5feb\u53cd\u5e94\u8fc7\u6765\uff0c\u8fd9\u4e2a\u201c\u8f74\u201d\u6b63\u597d\u662f\u786c\u5e01\u65cb\u8f6c\u7684<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u89d2\u52a8\u91cf\uff08angular momentum\uff09<\/mark>\u6240\u5728\u7684\u76f4\u7ebf\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"492\" height=\"277\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coina.gif\" alt=\"\" class=\"wp-image-310\"\/><figcaption class=\"wp-element-caption\">\u6765\u6e90\uff1aNumberphile via YouTube<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"936\" height=\"626\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin-static.png\" alt=\"\" class=\"wp-image-311\" srcset=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin-static.png 936w, https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin-static-300x201.png 300w, https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin-static-768x514.png 768w\" sizes=\"auto, (max-width: 936px) 100vw, 936px\" \/><figcaption class=\"wp-element-caption\">\u6765\u6e90\uff1aNumberphile via YouTube, \u5236\u56fe\uff1a\u51ac\u9e22<\/figcaption><\/figure>\n\n\n\n<p>\u7136\u540e\u6211\u4eec\u7528\u4e00\u70b9\u7b80\u5355\u7684\u4e2d\u5b66\u7269\u7406\u6765\u5206\u6790\u4e00\u4e0b\u786c\u5e01\u7684\u8fd0\u52a8\u3002<\/p>\n\n\n\n<p>\u5047\u8bbe\u786c\u5e01\u4ee5\u521d\u901f\u5ea6vz\u4ece\u8ddd\u5730\u9762\u9ad8\u5ea6z0\u7684\u624b\u4e2d\u88ab\u629b\u51fa\uff0ct\u79d2\u540e\u843d\u56de\u5230\u624b\u4e0a\uff0c\u90a3\u4e48\u901a\u8fc7z0 + tvz \u2212 (g\/2)(t)2 = z0\u53ef\u4ee5\u8ba1\u7b97\u51fat = vz\/(g\/2)\u3002<\/p>\n\n\n\n<p>\u5047\u8bbe\u786c\u5e01\u5728\u7a7a\u4e2d\u6bcf\u79d2\u7ffb\u8f6c\u03c9\u6b21\u3002\u5728\u629b\u51fa\u786c\u5e01\u5230\u786c\u5e01\u56de\u5230\u624b\u4e0a\u7684\u8fc7\u7a0b\u4e2d\uff0c\u5982\u679c\u786c\u5e01<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u7ffb\u8f6c\u4e86\u5076\u6570\u6b21<\/mark>\uff08\u53732j &lt; \u03c9vz\/(g\/2) &lt; 2j+1\uff0c\u5176\u4e2dj\u4e3a\u6574\u6570\uff09\uff0c\u90a3\u4e48\u786c\u5e01\u6700\u7ec8\u5411\u4e0a\u7684\u4e00\u9762<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u4e0e\u521d\u59cb\u9762\u76f8\u540c<\/mark>\uff1b\u5982\u679c<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u7ffb\u8f6c\u4e86\u5947\u6570\u6b21<\/mark>\uff08\u53732j+1 &lt; \u03c9vz\/(g\/2) &lt; 2j+2\uff0c\u5176\u4e2dj\u4e3a\u6574\u6570\uff09\uff0c\u5219<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u4e0e\u521d\u59cb\u9762\u76f8\u53cd<\/mark>\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"338\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin-youtube.gif\" alt=\"\" class=\"wp-image-312\"\/><figcaption class=\"wp-element-caption\">\u6765\u6e90\uff1awikiHow via YouTube<\/figcaption><\/figure>\n\n\n\n<p><s>\u6240\u4ee5\u53ea\u8981\u4f60\u80fd\u7cbe\u786e\u63a7\u5236\u786c\u5e01\u7684\u521d\u901f\u5ea6\u3001\u9ad8\u5ea6\u548c\u7ffb\u8f6c\u901f\u5ea6\uff0c\u5c31\u80fd\u7cbe\u786e\u63a7\u5236\u629b\u786c\u5e01\u7684\u7ed3\u679c\u3002<\/s><\/p>\n\n\n\n<p>\u5982\u679c\u6211\u4eec\u5728\u786c\u5e01\u7ffb\u8f6c\u4e86\u6574\u6570\u6b21\u65f6\uff0c\u505a\u51fa\u8f6c\u901f\u03c9\u5173\u4e8e\u65f6\u95f4t\u7684\u56fe\u50cf\uff0c\u53ef\u4ee5\u5f97\u5230\u5f88\u591a\u6761\u53cc\u66f2\u7ebf\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1170\" height=\"876\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin02.png\" alt=\"\" class=\"wp-image-313\" srcset=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin02.png 1170w, https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin02-300x225.png 300w, https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin02-1024x767.png 1024w, https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin02-768x575.png 768w\" sizes=\"auto, (max-width: 1170px) 100vw, 1170px\" \/><figcaption class=\"wp-element-caption\">\u56fe\u7247\u6765\u6e90\uff1aDiaconis et al, 2007<\/figcaption><\/figure>\n\n\n\n<p>\u5047\u5982\u786c\u5e01\u521d\u59cb\u9762\u4e3a\u6b63\u9762\uff0c\u800c\u7ffb\u8f6c\u901f\u5ea6\u548c\u65f6\u95f4\uff08\u03c9,t\uff09\u843d\u5728\u56fe\u4e2d\u7684\u9634\u5f71\u91cc\uff0c\u6700\u7ec8\u6b63\u9762\u5411\u4e0a\uff1b\u82e5\u662f\u8f6c\u901f\u548c\u65f6\u95f4\u4f4d\u4e8e\u9634\u5f71\u4e4b\u5916\u7684\u7a7a\u767d\u90e8\u5206\uff0c\u7ed3\u679c\u5219\u662f\u53cd\u9762\u671d\u4e0a\u3002<\/p>\n\n\n\n<p>\u4f46\u662f\uff0c\u6b64\u65f6\u9634\u5f71\u90e8\u5206\u7684\u9762\u79ef\u548c\u7a7a\u767d\u90e8\u5206\u7684\u9762\u79ef\u662f\u76f8\u7b49\u7684\uff0c<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u5f97\u5230\u6b63\u9762\u548c\u53cd\u9762\u7684\u6982\u7387\u4ecd\u7136\u662f1:1<\/mark>\u3002\u5982\u679c\u8981\u51fa\u73b0\u4e0a\u6587\u63d0\u5230\u7684\u504f\u5dee\uff0c\u53c8\u8be5\u5982\u4f55\u64cd\u4f5c\u5462\uff1f<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u8fdb\u52a8<\/mark><\/p>\n\n\n\n<p>\u4ee5\u4e0a\u5206\u6790\u662f\u57fa\u4e8e\u6807\u51c6\u60c5\u51b5\uff0c<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u629b\u51fa\u7684\u786c\u5e01\u6cbf\u7740\u5e73\u884c\u4e0e\u5730\u9762\u7684\u201c\u8f74\u201d\u7ffb\u8f6c<\/mark>\uff0c\u4e5f\u5c31\u662f\u786c\u5e01\u65cb\u8f6c\u7684\u89d2\u52a8\u91cf\u77e2\u91cf\u5e73\u884c\u4e8e\u5730\u9762\u3002<\/p>\n\n\n\n<p>\u4f46\u6234\u5eb7\u5c3c\u65af\u6307\u51fa\uff0c\u8fd9\u53ea\u662f\u4e00\u79cd\u7279\u6b8a\u60c5\u51b5\u3002\u5b9e\u9645\u4e0a\uff0c<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u5f88\u591a\u4eba\u629b\u51fa\u7684\u786c\u5e01\u5728\u7a7a\u4e2d\u65cb\u8f6c\u65f6\uff0c\u89d2\u52a8\u91cf\u662f\u4e0e\u5730\u9762\u4e0d\u5e73\u884c\u7684<\/mark>\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"293\" height=\"242\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin08.gif\" alt=\"\" class=\"wp-image-314\"\/><figcaption class=\"wp-element-caption\">\u4ed4\u7ec6\u89c2\u5bdf\u53ef\u4ee5\u53d1\u73b0\u8fd9\u679a\u786c\u5e01\u5728\u7a7a\u4e2d\u5e76\u4e0d\u662f\u7ed5\u7740\u5e73\u884c\u4e0e\u5730\u9762\u7684\u201c\u8f74\u201d\u7ffb\u8f6c\u7684\uff08\u6765\u6e90\uff1aSound\/Video Impressions via youtube\uff09<\/figcaption><\/figure>\n\n\n\n<p>\u6211\u4eec\u53ef\u4ee5\u7528\u5982\u4e0b\u7684\u6a21\u578b\u6765\u89e3\u91ca\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"701\" height=\"800\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin12.png\" alt=\"\" class=\"wp-image-315\" srcset=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin12.png 701w, https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin12-263x300.png 263w\" sizes=\"auto, (max-width: 701px) 100vw, 701px\" \/><figcaption class=\"wp-element-caption\">\u56fe\u7247\u6765\u6e90\uff1aDiaconis et al, 2007<\/figcaption><\/figure>\n\n\n\n<p>\u5047\u8bbe\u786c\u5e01\u629b\u51fa\u65f6\u6b63\u9762\u5411\u4e0a\uff0c\u5219\u5782\u76f4\u4e8e\u786c\u5e01\u5e73\u9762\u7684\u6cd5\u7ebf\uff08 n \uff09\u4e0e\u89d2\u52a8\u91cf\uff08M\uff09\u4f1a<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u5b58\u5728\u4e00\u4e2a\u5939\u89d2\uff08\u03c8\uff09<\/mark>\uff0c\u5f53\u786c\u5e01\u8f6c\u52a8\u7684\u8f74\u4e0e\u5730\u9762\u4e0d\u5e73\u884c\uff08\u5373\u03c8\u4e0d\u4e3a90\u00b0\uff09\u65f6\uff0c<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u786c\u5e01\u6cd5\u7ebfn\u5c31\u4f1a\u7ed5\u7740\u89d2\u52a8\u91cfM\u65cb\u8f6c\uff0c\u8fd9\u4e5f\u53eb\u8fdb\u52a8\uff08precession\uff09<\/mark>\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"338\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coind.gif\" alt=\"\" class=\"wp-image-316\"\/><figcaption class=\"wp-element-caption\">\u6234\u5eb7\u5c3c\u65af\u6b63\u5728\u89e3\u91ca\u786c\u5e01\u7ffb\u8f6c\u4e2d\u7684\u8fdb\u52a8\uff08\u6765\u6e90\uff1aNumberphile via YouTube\uff09<br><\/figcaption><\/figure>\n\n\n\n<p>\u82e5\u786c\u5e01\u5728\u629b\u51fa\u540e\u7684t\u65f6\u523b\u843d\u56de\u624b\u4e0a\uff0c\u5f53\u6b64\u65f6\u786c\u5e01\u6cd5\u7ebfN(t)\u4e0e\u5782\u76f4\u5730\u9762\u65b9\u5411\u7684\u5411\u91cfK\u7684\u5939\u89d2<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u4f59\u5f26\u03c4(t) \u5927\u4e8e0\u65f6\uff0c\u786c\u5e01\u6b63\u9762\u5411\u4e0a\uff1b\u5c0f\u4e8e0\u65f6\uff0c\u53cd\u9762\u5411\u4e0a\uff08\u8d77\u59cb\u9762\u4e3a\u6b63\u9762\uff09<\/mark><\/p>\n\n\n\n<p>\u800c\u5bf9\u4e8e\u8fd9\u4e2a\u4f59\u5f26\u03c4(t) \uff0c\u6211\u4eec\u53ef\u4ee5\u7528\u03c4(t)=cos2 \u03c8 +sin2 \u03c8cos(\u03c9Nt) \u8fd9\u4e2a\u5f0f\u5b50\u6765\u8ba1\u7b97\uff0c\u5176\u4e2d\u03c9N\u4e3a\u786c\u5e01\u6cd5\u7ebf\u7ed5\u89d2\u52a8\u91cf\u65cb\u8f6c\u7684\u89d2\u901f\u5ea6\u3002<\/p>\n\n\n\n<p>\u5982\u679c\u6211\u4eec\u5c06\u786c\u5e01\u7684\u6cd5\u7ebf\u77e2\u91cfN(t)\u5728\u7a7a\u4e2d\u5212\u8fc7\u7684\u533a\u57df\u770b\u505a\u4e00\u4e2a\u7403\u9762\uff0c\u5728\u8fd9\u6837\u7684\u8fd0\u52a8\u65b9\u5f0f\u4e0b\uff0c<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u6cd5\u7ebf\u5728\u4e0a\u534a\u7403\uff08\u6b63\u9762\u5411\u4e0a\uff09\u505c\u7559\u7684\u65f6\u95f4\u662f\u5927\u4e8e\u6216\u7b49\u4e8e\u5728\u4e0b\u534a\u7403\uff08\u53cd\u9762\u5411\u4e0a\uff09\u505c\u7559\u7684\u65f6\u95f4\u7684<\/mark>\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"602\" height=\"538\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin10.png\" alt=\"\" class=\"wp-image-317\" srcset=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin10.png 602w, https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin10-300x268.png 300w\" sizes=\"auto, (max-width: 602px) 100vw, 602px\" \/><figcaption class=\"wp-element-caption\">\u56fe\u7247\u6765\u6e90\uff1aDiaconis et al, 2007<\/figcaption><\/figure>\n\n\n\n<p>\u6700\u7ec8\u53ef\u4ee5\u7b97\u51fa\uff0c\u5982\u679c\u786c\u5e01\u7684\u8d77\u59cb\u9762\u4e3a\u6b63\u9762\uff0c\u90a3\u4e48\u786c\u5e01\u843d\u56de\u624b\u4e0a\u65f6\u6b63\u9762\u5411\u4e0a\u7684\u6982\u7387\u4e0e\u03c8\u7684\u5173\u7cfb\u662f\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"936\" height=\"120\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin11.png\" alt=\"\" class=\"wp-image-318\" srcset=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin11.png 936w, https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin11-300x38.png 300w, https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin11-768x98.png 768w\" sizes=\"auto, (max-width: 936px) 100vw, 936px\" \/><\/figure>\n\n\n\n<p>\u7528\u56fe\u50cf\u8868\u793a\u5c31\u662f<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"689\" height=\"538\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin13.png\" alt=\"\" class=\"wp-image-319\" srcset=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin13.png 689w, https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin13-300x234.png 300w\" sizes=\"auto, (max-width: 689px) 100vw, 689px\" \/><figcaption class=\"wp-element-caption\">\u56fe\u7247\u6765\u6e90\uff1aDiaconis et al, 2007<\/figcaption><\/figure>\n\n\n\n<p>\u7531\u6b64\u53ef\u4ee5\u76f4\u89c2\u5730\u770b\u5230\uff0c<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u5728\u786c\u5e01\u521d\u59cb\u9762\u4e3a\u6b63\u9762\u65f6\uff0c\u53ea\u6709\u5f53\u03c8\u4e3a\u76f4\u89d2\uff0c\u786c\u5e01\u843d\u4e0b\u65f6\u6b63\u9762\u671d\u4e0a\u7684\u6982\u7387\u624d\u662f1\/2\uff0c\u5176\u4f59\u60c5\u51b5\u4e0b\u90fd\u5927\u4e8e1\/2\u3002<\/mark><\/p>\n\n\n\n<p>\u800c\u5f53\u03c8\u5c0f\u4e8e45\u00b0\u65f6\uff0c\u786c\u5e01\u867d\u7136\u4e5f\u5728\u65cb\u8f6c\uff0c\u4f46\u5b9e\u9645\u4e0a\u6574\u4e2a\u8fc7\u7a0b\u4e2d\uff0c\u5e76\u6ca1\u6709\u7ffb\u8f6c\u5230\u53e6\u4e00\u9762\u3002\u56e0\u6b64\uff0c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u4e0d\u8bba\u786c\u5e01\u629b\u5f97\u6709\u591a\u9ad8\uff0c\u6700\u7ec8\u843d\u4e0b\u6765\u65f6\u4f9d\u7136\u662f\u548c\u629b\u51fa\u65f6\u4fdd\u6301\u76f8\u540c\u7684\u4e00\u9762\u5411\u4e0a<\/mark>\u2014\u2014\u8fd9\u4fbf\u662f\u629b\u786c\u5e01\u9b54\u672f\u5e08\u6240\u4f7f\u7528\u7684\u624b\u6cd5\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"510\" height=\"287\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin11-1.gif\" alt=\"\" class=\"wp-image-320\"\/><figcaption class=\"wp-element-caption\">\u9b54\u672f\u5e08\u629b\u51fa\u7684\u786c\u5e01\u5728\u7a7a\u4e2d\u6ca1\u6709\u7ffb\u8f6c\u81f3\u53e6\u4e00\u9762\uff08\u6765\u6e90\uff1aSCAM NATION via YouTube\uff09<\/figcaption><\/figure>\n\n\n\n<p>\u800c\u5f53\u03c8\u4e3a0\u00b0\u65f6\uff0c<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u786c\u5e01\u751a\u81f3\u53ef\u4ee5\u6ca1\u6709\u7ad6\u76f4\u65b9\u5411\u7684\u7ffb\u8f6c\uff0c\u5b8c\u5168\u76f4\u4e0a\u76f4\u4e0b<\/mark>\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"338\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coinc.gif\" alt=\"\" class=\"wp-image-321\"\/><figcaption class=\"wp-element-caption\">\u6765\u6e90\uff1aNumberphile via YouTube<\/figcaption><\/figure>\n\n\n\n<p>\u4e8b\u5b9e\u4e0a\uff0c\u8fd9\u79cd\u8fd0\u52a8\u65b9\u5f0f\u5728\u6211\u4eec\u751f\u6d3b\u4e2d\u975e\u5e38\u5e38\u89c1\uff0c<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u6bd4\u8f83\u5178\u578b\u7684\uff0c\u5c31\u662f\u6211\u4eec\u7684\u5730\u7403<\/mark>\u3002\u5730\u7403\u5728\u81ea\u8f6c\u7684\u540c\u65f6\uff0c\u8d64\u9053\u5e73\u9762\u7684\u6cd5\u7ebf\u4e5f\u5728\u7ed5\u4e00\u4e2a\u8f74\u8f6c\u52a8\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"338\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin14.gif\" alt=\"\" class=\"wp-image-322\"\/><figcaption class=\"wp-element-caption\">\u770b\u8fd9\u5730\u7403\u7684\u65cb\u8f6c\u50cf\u4e0d\u50cf\u6b63\u5728\u7ffb\u8f6c\u7684\u786c\u5e01\uff1f\uff08\u6765\u6e90\uff1aSteven Sanders via youtube\uff09<\/figcaption><\/figure>\n\n\n\n<p>\u603b\u7ed3\u4e00\u4e0b\u5c31\u662f\uff0c<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u56e0\u4e3a\u5f88\u591a\u4eba\u629b\u51fa\u7684\u786c\u5e01\u5728\u7a7a\u4e2d\u7ffb\u8f6c\u65f6\u5b58\u5728\u8fdb\u52a8\uff0c\u5bfc\u81f4\u5728\u7ed9\u5b9a\u786c\u5e01\u521d\u59cb\u9762\u7684\u60c5\u51b5\u4e0b\uff0c\u4f1a\u4f7f\u5f97\u6700\u7ec8\u786c\u5e01\u843d\u56de\u624b\u4e0a\u65f6\uff0c\u6b63\u53cd\u9762\u5411\u4e0a\u7684\u6982\u7387\u4e0d\u76f8\u7b49<\/mark>\u3002<\/p>\n\n\n\n<p>\u4e0d\u8fc7\uff0c\u7531\u4e8e\u5927\u591a\u6570\u4eba\u629b\u786c\u5e01\u7684\u65f6\u5019\uff0c\u4e0d\u4f1a\u5173\u6ce8\u786c\u5e01\u7684\u8d77\u59cb\u9762\u3002\u56e0\u6b64\uff0c\u5728\u8d77\u59cb\u9762\u968f\u673a\u7684\u524d\u63d0\u4e0b\uff0c\u629b\u786c\u5e01\u7684\u6700\u7ec8\u7ed3\u679c\uff0c<mark style=\"background-color:rgba(0, 0, 0, 0);color:#2a6bec\" class=\"has-inline-color\">\u6b63\u53cd\u9762\u6982\u7387\u4ecd\u7136\u662f1:1<\/mark>\uff08\u9884\u5370\u672c\u8bba\u6587\u4e2d\u6709\u8bc1\u660e\u8fc7\u7a0b\uff09\u3002<\/p>\n\n\n\n<p>\u6240\u4ee5\uff0c\u4ee5\u540e\u5982\u679c\u548c\u522b\u4eba\u629b\u786c\u5e01\u6253\u8d4c\uff0c\u4f60\u53ef\u4ee5\u7ec3\u4e00\u7ec3\u4e0a\u9762\u6559\u7684\u629b\u786c\u5e01\u6280\u5de7\u6765\u201c\u4f5c\u5f0a\u201d\uff1b\u5982\u679c\u662f\u522b\u4eba\u629b\u786c\u5e01\uff0c\u90a3\u5c31\u8ba9\u4ed6\u4e0d\u8981\u7528\u624b\u63a5\uff0c\u8ba9\u786c\u5e01\u76f4\u63a5\u6389\u5730\u4e0a\uff0c\u56e0\u4e3a\u8fd9\u4f1a\u4f7f\u786c\u5e01\u518d\u5f39\u8d77\u6765\uff0c\u5230\u7a7a\u4e2d\u518d\u7ffb\u8f6c\u51e0\u5708\uff0c\u4f7f\u7ed3\u679c\u66f4\u52a0\u968f\u673a\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"338\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2023\/12\/coin15.gif\" alt=\"\" class=\"wp-image-323\"\/><figcaption class=\"wp-element-caption\">\u786c\u5e01\u6389\u5728\u5730\u4e0a\u4e4b\u540e\u518d\u5f39\u8d77\u6765\uff08\u6765\u6e90\uff1aNumberphile via YouTube\uff09<\/figcaption><\/figure>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0);color:#999999\" class=\"has-inline-color\">\u53c2\u8003\u94fe\u63a5<\/mark><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/statweb.stanford.edu\/~cgates\/PERSI\/papers\/dyn_coin_07.pdf\">https:\/\/statweb.stanford.edu\/~cgates\/PERSI\/papers\/dyn_coin_07.pdf<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/arxiv.org\/abs\/2310.04153\">https:\/\/arxiv.org\/abs\/2310.04153<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/gauss.stat.su.se\/gu\/sg\/2012VT\/penny.pdf\">http:\/\/gauss.stat.su.se\/gu\/sg\/2012VT\/penny.pdf<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Precession\">https:\/\/en.wikipedia.org\/wiki\/Precession<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Angular_momentum\">https:\/\/en.wikipedia.org\/wiki\/Angular_momentum<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Persi_Diaconis\">https:\/\/en.wikipedia.org\/wiki\/Persi_Diaconis<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.youtube.com\/watch?v=AYnJv68T3MM\">https:\/\/www.youtube.com\/watch?v=AYnJv68T3MM<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.youtube.com\/watch?v=A-L7KOjyDrE\">https:\/\/www.youtube.com\/watch?v=A-L7KOjyDrE<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.youtube.com\/watch?v=qlVgEoZDjok\">https:\/\/www.youtube.com\/watch?v=qlVgEoZDjok<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.youtube.com\/channel\/UCZF_uxG9yEiuUkaFol16IBg\">https:\/\/www.youtube.com\/channel\/UCZF_uxG9yEiuUkaFol16IBg<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u6211\u4eec\u5e38\u4f1a\u53cd\u590d\u7ea0\u7ed3\u67d0\u4e2a\u95ee\u9898\u800c\u96be\u4ee5\u8fc5\u901f\u4f5c\u51fa\u51b3\u5b9a\uff0c\u6bd4\u5982\uff0c\u4eca\u665a\u5403\u70b8\u9171\u9762\u8fd8\u662f\u9ea6\u5f53\u52b3\uff1b\u53c8\u6bd4\u5982\uff0c\u8981\u4e0d\u8981\u63a5\u53d7\u67d0\u4e2a\u5de5\u4f5c\u673a\u4f1a\uff1b\u6216\u8005\u662f\u4eca\u665a\u8981\u4e0d\u8981\u53bb\u8ddfTA\u8868\u767d\u2026\u2026<\/p>\n","protected":false},"author":3,"featured_media":90,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4,8],"tags":[14],"class_list":["post-89","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-space-physics","category-lead","tag-14"],"_links":{"self":[{"href":"https:\/\/www.huanqiukexue.com\/index.php?rest_route=\/wp\/v2\/posts\/89","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.huanqiukexue.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.huanqiukexue.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.huanqiukexue.com\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.huanqiukexue.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=89"}],"version-history":[{"count":3,"href":"https:\/\/www.huanqiukexue.com\/index.php?rest_route=\/wp\/v2\/posts\/89\/revisions"}],"predecessor-version":[{"id":362,"href":"https:\/\/www.huanqiukexue.com\/index.php?rest_route=\/wp\/v2\/posts\/89\/revisions\/362"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.huanqiukexue.com\/index.php?rest_route=\/wp\/v2\/media\/90"}],"wp:attachment":[{"href":"https:\/\/www.huanqiukexue.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=89"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.huanqiukexue.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=89"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.huanqiukexue.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=89"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}