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rgb(8,124,186);\"><br><br><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong>\u50cf\u5a74\u513f\u4e00\u6837\u7406\u89e3\u9cb8\u6b4c<\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/span><\/mark><\/strong><\/p>\n\n\n\n<p>\u5728\u6700\u65b0\u53d1\u8868\u5728\u300a\u79d1\u5b66\u300b\uff08<em>Science<\/em>\uff09\u4e0a\u7684\u4e00\u9879\u65b0\u7814\u7a76\u4e2d\uff0c\u79d1\u5b66\u5bb6\u60f3\u51fa\u7684\u529e\u6cd5\u5c31\u662f\uff1a<strong>\u50cf\u5a74\u513f\u4e00\u6837\u53bb\u89e3\u8bfb\u9cb8\u6b4c\uff01<\/strong>\u7684\u786e\uff0c\u4eba\u7c7b\u5a74\u513f\u521a\u51fa\u751f\u65f6\uff0c\u4e5f\u6ca1\u6709\u4efb\u4f55\u7684\u8bed\u8a00\u57fa\u7840\uff0c\u4f46\u5374\u80fd\u5728\u4e0d\u65ad\u5730\u542c\u548c\u5b66\u4e2d\uff0c\u9010\u6e10\u5b66\u4f1a\u548c\u7406\u89e3\u8bed\u8a00\u3002<\/p>\n\n\n\n<p>\u5a74\u513f\u9996\u5148\u4f1a\u8bc6\u522b\uff0c<strong>\u81ea\u5df1\u542c\u5230\u7684\u8bed\u8a00\u4e2d\uff0c\u54ea\u4e9b\u97f3\u7d20\u5e38\u5728\u4e00\u8d77\u51fa\u73b0\uff0c\u54ea\u4e9b\u97f3\u7d20\u603b\u662f\u5206\u5f00\u7684<\/strong>\u3002\u6bd4\u5982\uff0c\u8bb8\u591a\u4eba\u51fa\u751f\u540e\uff0c\u4f1a\u8bf4\u7684\u7b2c\u4e00\u4e2a\u8bcd\u53ef\u80fd\u662f\u201c\u5988\u5988\u201d\u2014\u2014\u56e0\u4e3a\u8fd9\u53ef\u80fd\u662f\u5b83\u4eec\u51fa\u751f\u540e\u542c\u5230\u9891\u7387\u6700\u9ad8\u7684\u5355\u8bcd\u3002\u8fd9\u4e2a\u5355\u8bcd\u5305\u542b\u4e24\u4e2a\u76f8\u540c\u7684\u201cma\u201d\u97f3\uff0c\u5a74\u513f\u5f88\u5feb\u4f1a\u610f\u8bc6\u5230\uff0c\u4e24\u4e2a\u201cma\u201d\u603b\u662f\u4f1a\u8fde\u5728\u4e00\u8d77\u51fa\u73b0\uff0c\u4f46\u201cmama\u201d\u4e4b\u540e\u7684\u6240\u6709\u97f3\uff0c\u5728\u7b2c\u4e8c\u4e2a\u201cma\u201d\u4e4b\u540e\u51fa\u73b0\u7684\u6982\u7387\u90fd\u8fdc\u4e0d\u5982\u7b2c\u4e00\u4e2a\u201cma\u201d\u51fa\u73b0\u540e\u7d27\u63a5\u53e6\u4e00\u4e2a\u201cma\u201d\u7684\u6982\u7387\u5927\uff0c\u4e8e\u662f\u5a74\u513f\u5c31\u77e5\u9053\u201cmama\u201d\u662f\u4e00\u4e2a\u8bcd\uff0c\u4e5f\u6210\u4e3a\u4e86\u4ed6\u4eec\u5b66\u4f1a\u7684\u7b2c\u4e00\u4e2a\u8bcd\u3002<\/p>\n\n\n\n<p>\u79d1\u5b66\u5bb6\u5bf9\u9cb8\u6b4c\u7684\u89e3\u8bfb\u4fbf\u662f\u501f\u52a9\u4e86\u5a74\u513f\u5b66\u4e60\u8bed\u8a00\u7684\u65b9\u5f0f\uff1a\u4ed6\u4eec\u6536\u96c6\u4e868\u5e74\u7684\u9cb8\u6b4c\u6570\u636e\uff0c\u5c06\u9cb8\u6b4c\u4e2d\u7684\u201c\u6700\u5c0f\u58f0\u97f3\u5355\u5143\u201d\u90fd\u8bb0\u5f55\u4e86\u4e0b\u6765\uff0c\u5e76\u4e14\u7edf\u8ba1\u4e86\u6bcf\u4e00\u4e2a\u201c\u6700\u5c0f\u58f0\u97f3\u5355\u5143\u201d\u540e\u51fa\u73b0\u53e6\u4e00\u201c\u6700\u5c0f\u58f0\u97f3\u5355\u5143\u201d\u7684\u6982\u7387\uff0c<strong>\u5982\u679c\u6982\u7387\u5f88\u9ad8\uff0c\u90a3\u4e48\u5c31\u8bf4\u660e\u8fd9\u4e9b\u201c\u6700\u5c0f\u58f0\u97f3\u5355\u5143\u201d\u540c\u5c5e\u4e00\u4e2a\u201c\u77ed\u8bed\u201d<\/strong>\uff0c\u5982\u679c\u5728\u4e00\u7ec4\u201c\u6700\u5c0f\u58f0\u97f3\u5355\u5143\u201d\u540e\u51fa\u73b0\u53e6\u4e00\u201c\u6700\u5c0f\u58f0\u97f3\u5355\u5143\u201d\u7684\u6982\u7387\u9aa4\u964d\uff0c\u5219\u8bf4\u660e\u5b83\u4eec\u4e0d\u5c5e\u4e8e\u540c\u4e00\u201c\u77ed\u8bed\u201d\u3002<\/p>\n\n\n\n<p>\u901a\u8fc7\u8fd9\u79cd\u65b9\u6cd5\uff0c\u79d1\u5b66\u5bb6\u603b\u7ed3\u51fa\u4e86\u5f88\u591a\u7c7b\u4f3c\u201c\u5355\u8bcd\u201d\u7684\u201c\u6700\u5c0f\u58f0\u97f3\u5355\u5143\u201d\u7ec4\u5408\u2014\u2014\u6211\u4eec\u6682\u4e14\u79f0\u4e4b\u4e3a\u201c\u5b50\u5e8f\u5217\u201d\uff08Subsequences\uff09\u3002\u7edf\u8ba1\u4e86\u8fd9\u4e9b\u201c\u5b50\u5e8f\u5217\u201d\u7684\u5206\u5e03\u89c4\u5f8b\u540e\uff0c\u79d1\u5b66\u5bb6\u53d1\u73b0\uff0c<strong>\u9cb8\u6b4c\u7adf\u7136\u5448\u73b0\u51fa\u4e00\u79cd\u51e0\u4e4e\u53ea\u5728\u4eba\u7c7b\u8bed\u8a00\u4e2d\u7279\u6709\u7684\u7edf\u8ba1\u7ed3\u6784\u2014\u2014\u201c\u9f50\u666e\u592b\u5206\u5e03\u201d\uff08Zipf distribution\uff09<\/strong>\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"400\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2025\/02\/640-2-8.png\" alt=\"\" class=\"wp-image-1994\" style=\"width:600px\" srcset=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2025\/02\/640-2-8.png 600w, https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2025\/02\/640-2-8-300x200.png 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><figcaption class=\"wp-element-caption\"><span style=\"color: rgb(153, 153, 153); font-size: 16px; letter-spacing: 1px;\">\u9cb8\u7fa4\uff08\u56fe\u7247\u6765\u6e90\uff1aOperation Cetaces\uff09<\/span><\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u6211\u4eec\u5728\u65e5\u5e38\u804a\u5929\u65f6\uff0c\u4f1a\u7528\u5230\u5f88\u591a\u8bcd\u8bed\uff0c<strong>\u4f46\u5404\u79cd\u8bcd\u7684\u4f7f\u7528\u9891\u7387\u662f\u4e0d\u4e00\u6837\u7684<\/strong>\u3002\u4ee5\u4e2d\u6587\u4e3a\u4f8b\uff0c\u4e00\u4e9b\u5b57\u6216\u8bcd\u8bed\uff08\u6bd4\u5982\u201c\u7684\u201d\u201c\u662f\u201d\uff09\u51e0\u4e4e\u5728\u6bcf\u4e00\u53e5\u8bdd\u4e2d\u90fd\u4f1a\u51fa\u73b0\uff0c\u4f46\u8fd9\u6837\u7684\u5b57\u6216\u8bcd\u7684\u6570\u91cf\u5e76\u4e0d\u591a\uff1b\u53e6\u4e00\u4e9b\u8bcd\uff08\u6bd4\u5982\u201c\u91cf\u5b50\u201d\u201c\u9955\u992e\u201d\uff09\u51fa\u73b0\u7684\u9891\u7387\u5219\u975e\u5e38\u4f4e\uff0c\u4f46\u8fd9\u4e9b\u4f4e\u9891\u8bcd\u6c47\u7684\u6570\u91cf\u5374\u5341\u5206\u5e9e\u5927\u3002\u79d1\u5b66\u5bb6\u53d1\u73b0\uff0c\u6240\u6709\u7684\u4eba\u7c7b\u8bed\u8a00\uff0c\u90fd\u6709\u4e00\u4e2a\u5171\u540c\u89c4\u5f8b\uff0c<strong>\u5373\u9ad8\u9891\u51fa\u73b0\u7684\u8bcd\u5f88\u5c11\uff0c\u4f4e\u9891\u51fa\u73b0\u7684\u8bcd\u5f88\u591a<\/strong>\u3002\u800c\u4e14\u5b83\u4eec\u8fd8\u7b26\u5408<strong>\u201c\u5e42\u5f8b\u5206\u5e03\u201d\uff08Power Law Distribution\uff09<\/strong>\uff1a\u6bd4\u5982\u5728\u82f1\u6587\u4e2d\uff0c\u51fa\u73b0\u9891\u7387\u6700\u9ad8\u7684\u5355\u8bcd\u662f\u201cthe\u201d\uff0c\u9891\u7387\u7ea6\u662f\u7b2c\u4e8c\u5e38\u89c1\u7684\u5355\u8bcd\u201cof\u201d\u7684\u4e24\u500d\uff0c\u662f\u7b2c\u4e09\u5e38\u89c1\u7684\u5355\u8bcd\u201cand\u201d\u7684\u4e09\u500d\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"897\" src=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2025\/02\/640-3-4.png\" alt=\"\" class=\"wp-image-1995\" style=\"width:600px\" srcset=\"https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2025\/02\/640-3-4.png 600w, https:\/\/www.huanqiukexue.com\/wp-content\/uploads\/2025\/02\/640-3-4-201x300.png 201w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><figcaption class=\"wp-element-caption\"><span style=\"color: rgb(153, 153, 153); font-size: 16px; letter-spacing: 1px;\">\u591a\u79cd\u4eba\u7c7b\u8bed\u8a00\u7684\u9f50\u666e\u592b\u5206\u5e03\uff08\u56fe\u7247\u6765\u6e90\uff1aPiantadosi, 2014\uff09<\/span><\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u800c\u9cb8\u6b4c\u4e2d\u7684\u201c\u5b50\u5e8f\u5217\u201d\uff0c<strong>\u540c\u6837\u7b26\u5408\u8fd9\u6837\u7684\u5206\u5e03\u89c4\u5f8b<\/strong>\u3002\u4f46\u5982\u679c\u7814\u7a76\u8005\u6253\u4e71\u9cb8\u6b4c\u4e2d\u201c\u6700\u5c0f\u58f0\u97f3\u5355\u5143\u201d\u7684\u7ec4\u5408\uff0c\u968f\u673a\u751f\u6210\u4e00\u4e9b\u201c\u5b50\u5e8f\u5217\u201d\uff0c<strong>\u8fd9\u79cd\u5206\u5e03\u89c4\u5f8b\u5c31\u6d88\u5931\u4e86<\/strong>\u3002<\/p>\n\n\n\n<p>\u4e00\u4e9b\u79d1\u5b66\u5bb6\u8ba4\u4e3a\uff0c\u4eba\u7c7b\u8bed\u8a00\u7b26\u5408\u201c\u9f50\u666e\u592b\u5206\u5e03\u201d\uff0c\u90e8\u5206\u539f\u56e0\u662f\u8fd9\u6837\u7684\u5206\u5e03\u65b9\u5f0f\u5f88\u5229\u4e8e\u65b0\u751f\u513f\u5b66\u4e60\u8bed\u8a00\uff0c<strong>\u4e8e\u662f\u8bed\u8a00\u5728\u6587\u5316\u4f20\u627f\u7684\u8fc7\u7a0b\u4e2d\u5f62\u6210\u4e86\u8fd9\u6837\u7684\u89c4\u5f8b<\/strong>\u3002\u4f46\u5982\u4eca\uff0c\u7814\u7a76\u8005\u5728\u5ea7\u5934\u9cb8\u7684\u6b4c\u58f0\u4e2d\u4e5f\u53d1\u73b0\u4e86\u8fd9\u6837\u7684\u5206\u5e03\u7279\u6027\uff0c\u6216\u8bb8\u8bf4\u660e\u4e86\u9cb8\u6b4c\u6587\u5316\u7684\u4f20\u9012\u5728\u9cb8\u7fa4\u4e2d\u7684\u91cd\u8981\u6027\u3002<\/p>\n\n\n\n<p>\u201c\u8fd9\u8868\u660e\uff0c\u6211\u4eec\u5bf9\u8bed\u8a00\u6f14\u5316\u7684\u7406\u89e3\u4e0d\u4ec5\u53ef\u4ee5\u4ece\u6211\u4eec\u7684\u7075\u957f\u7c7b\u8fd1\u4eb2\u90a3\u91cc\u83b7\u76ca\uff0c<strong>\u8fd8\u53ef\u4ee5\u4ece\u81ea\u7136\u754c\u5176\u4ed6\u7684\u8d8b\u540c\u6f14\u5316\u6848\u4f8b\u4e2d\u83b7\u76ca<\/strong>\u3002\u201d\u8be5\u7814\u7a76\u7684\u4f5c\u8005\u4e4b\u4e00\uff0c\u82f1\u56fd\u7231\u4e01\u5821\u5927\u5b66\u7684Simon Kirby\u8868\u793a\u3002<\/p>\n\n\n\n<p>\u4f46\u7814\u7a76\u8005\u4e5f\u8868\u793a\uff0c\u867d\u7136\u5728\u9cb8\u7684\u6b4c\u66f2\u4e2d\u53d1\u73b0\u4e86\u7c7b\u4f3c\u4eba\u7c7b\u8bed\u8a00\u7684\u5206\u5e03\u7279\u5f81\uff0c<strong>\u4f46\u76ee\u524d\u5e76\u4e0d\u80fd\u8bc1\u660e\u9cb8\u6b4c\u80fd\u591f\u4f20\u8fbe\u7279\u5b9a\u7684\u8bed\u4e49<\/strong>\u3002\u81f3\u4e8e\u5b83\u662f\u5426\u771f\u7684\u80fd\u50cf\u4eba\u7c7b\u8bed\u8a00\u90a3\u6837\u8868\u8fbe\u4e30\u5bcc\u7684\u610f\u601d\uff0c\u6211\u4eec\u8fd8\u6709\u8bb8\u591a\u7814\u7a76\u8981\u505a\u3002<\/p>\n\n\n\n<strong style=\"color: rgb(153, 153, 153); font-size: 16px; letter-spacing: 1px; line-height: 200%;\"><br>\u53c2\u8003\u94fe\u63a5\uff1a<br>https:\/\/www.science.org\/doi\/10.1126\/science.adq7055<br>https:\/\/www.science.org\/doi\/10.1126\/science.adv2318<br>https:\/\/www.eurekalert.org\/news-releases\/1072656<br>https:\/\/www.eurekalert.org\/news-releases\/1072345<br>https:\/\/www.science.org\/doi\/10.1126\/sciadv.ads6014<br>https:\/\/link.springer.com\/article\/10.3758\/s13423-014-0585-6<br>https:\/\/www.nature.com\/articles\/s41598-022-12784-3<br>https:\/\/www.sciencedirect.com\/science\/article\/abs\/pii\/S0010027722000269<br><\/strong>\n","protected":false},"excerpt":{"rendered":"<p>\u5ea7\u5934\u9cb8\u4e4b\u6b4c\u3002<\/p>\n","protected":false},"author":3,"featured_media":1997,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8,5],"tags":[250],"class_list":["post-1992","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-lead","category-health","tag-250"],"_links":{"self":[{"href":"https:\/\/www.huanqiukexue.com\/index.php?rest_route=\/wp\/v2\/posts\/1992","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=1992"}],"version-history":[{"count":1,"href":"https:\/\/www.huanqiukexue.com\/index.php?rest_route=\/wp\/v2\/posts\/1992\/revisions"}],"predecessor-version":[{"id":1998,"href":"https:\/\/www.huanqiukexue.com\/index.php?rest_route=\/wp\/v2\/posts\/1992\/revisions\/1998"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.huanqiukexue.com\/index.php?rest_route=\/wp\/v2\/media\/1997"}],"wp:attachment":[{"href":"https:\/\/www.huanqiukexue.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1992"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.huanqiukexue.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1992"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.huanqiukexue.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1992"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}