{"id":277,"date":"2021-06-12T14:09:00","date_gmt":"2021-06-12T06:09:00","guid":{"rendered":"http:\/\/blog.yuekegu.com\/?p=277"},"modified":"2021-06-12T14:09:00","modified_gmt":"2021-06-12T06:09:00","slug":"%e6%95%b0%e5%ad%a6%e5%88%86%e6%9e%90%e5%9f%ba%e7%a1%80%e7%ae%80%e7%ac%94%e8%ae%b0%ef%bc%88%e4%ba%8c%ef%bc%89","status":"publish","type":"post","link":"https:\/\/book.yuekegu.com\/index.php\/2021\/06\/12\/%e6%95%b0%e5%ad%a6%e5%88%86%e6%9e%90%e5%9f%ba%e7%a1%80%e7%ae%80%e7%ac%94%e8%ae%b0%ef%bc%88%e4%ba%8c%ef%bc%89\/","title":{"rendered":"\u6570\u5b66\u5206\u6790\u57fa\u7840\u7b80\u7b14\u8bb0\uff08\u4e8c\uff09"},"content":{"rendered":"\n<p> \u65e0\u7a77\u5927\u4e4b\u6bd4\u8f83 <\/p>\n\n\n\n<p>\u5f53$n\\in N$\uff0c$n\\to \\infty$\u65f6\uff0c$lnn&lt;n^{\\frac{1}{a_1}}&lt;n&lt;n^{a_2}&lt;a_3^n&lt;n!&lt;n^n$<\/p>\n\n\n\n<p>\u4e00\u3001\u6c42\u8bc1\uff1a$lim_{n\\to \\infty}\\frac{n^{a_2}}{a_3^n}=0<\/p>\n\n\n\n<p>\u4e8c\u3001\u6c42\u8bc1\uff1a$a_3^n&lt;n!$<\/p>\n\n\n\n<p>Stirling\u8fd1\u4f3c<\/p>\n\n\n\n<p>$n!\\prox\\sqrt{2\\pi n}\\left(\\frac{n}{e}\\right)^n$<\/p>\n\n\n\n<p>\u5bf9\u4e0a\u8ff0\u5185\u5bb9\u6c42\u5012\u6570\uff0c\u5373\u53ef\u6bd4\u8f83\u65e0\u7a77\u5c0f<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u65e0\u7a77\u5927\u4e4b\u6bd4\u8f83 \u5f53$n\\in N$\uff0c$n\\to \\infty$\u65f6\uff0c$lnn&lt;n^{\\frac{1}{a_1}}&lt;n&lt;n^{a_2}&lt;a_3^n&lt;n!&lt;n^n$ \u4e00\u3001\u6c42\u8bc1\uff1a$lim_{n\\to \\infty}\\frac{n^{a_2}}{a_3^n}=0 \u4e8c\u3001\u6c42\u8bc1\uff1a$a_3^n&lt;n!$ Stirling\u8fd1\u4f3c $n!\\prox\\sqrt{2\\pi n}\\left(\\frac{n}{e}\\right)^n$ \u5bf9\u4e0a\u8ff0\u5185\u5bb9\u6c42\u5012\u6570\uff0c\u5373\u53ef\u6bd4\u8f83\u65e0\u7a77\u5c0f<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[24],"tags":[],"class_list":["post-277","post","type-post","status-publish","format-standard","hentry","category-psychology"],"_links":{"self":[{"href":"https:\/\/book.yuekegu.com\/index.php\/wp-json\/wp\/v2\/posts\/277","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/book.yuekegu.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/book.yuekegu.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/book.yuekegu.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/book.yuekegu.com\/index.php\/wp-json\/wp\/v2\/comments?post=277"}],"version-history":[{"count":0,"href":"https:\/\/book.yuekegu.com\/index.php\/wp-json\/wp\/v2\/posts\/277\/revisions"}],"wp:attachment":[{"href":"https:\/\/book.yuekegu.com\/index.php\/wp-json\/wp\/v2\/media?parent=277"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/book.yuekegu.com\/index.php\/wp-json\/wp\/v2\/categories?post=277"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/book.yuekegu.com\/index.php\/wp-json\/wp\/v2\/tags?post=277"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}