{"id":108,"date":"2026-03-03T14:04:33","date_gmt":"2026-03-03T06:04:33","guid":{"rendered":"https:\/\/tblog.zeabur.app\/?p=108"},"modified":"2026-03-03T14:07:33","modified_gmt":"2026-03-03T06:07:33","slug":"%e9%9f%a6%e8%be%be%e5%ae%9a%e7%90%86%e6%9b%b4%e4%b8%baweida%e7%9a%84%e6%8e%a8%e5%b9%bf%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/tblog.zeabur.app\/?p=108","title":{"rendered":"\u97e6\u8fbe\u5b9a\u7406\u66f4\u4e3a WeiDa \u7684\u63a8\u5e7f\u5f0f"},"content":{"rendered":"\n<p>\u7ecf\u8fc7\u6076\u5fc3\u7684\u4f5c\u4e1a\u7684\u718f\u9676\uff0c\u597d\u50cf\u7a81\u7136\u53d1\u73b0\u5bf9\u4e8e\u97e6\u8fbe\u5b9a\u7406\u63a8\u5e7f\u540e\u7684\u90a3\u4e00\u7ec4\u5f0f\u5b50\u53ef\u4ee5\u7b80\u6d01\u7684\u603b\u7ed3\u6210\u4e00\u4e2a\u521d\u7b49\u591a\u9879\u5f0f\uff0c\u5373\u5bf9\u4e8e\u4e00\u5143 $n$ \u6b21\u65b9\u7a0b\uff0c\u82e5\u6709 $n$ \u4e2a\u89e3\u7684\u89e3\u96c6\uff08\u591a\u91cd\u96c6\uff09 $S_x=[x\\mid a_nx^n+a_{n-1}x^{n-1}+\\dots+a_0=0],\\ \\forall x_i\\in S_x,\\ x_i\\in\\mathbb{C}$\uff0c\u5219\u6ee1\u8db3\uff1a<br>$\\displaystyle\\sum_{S\\subseteq{1,\\dots,n},|S|=k}\\left(\\prod_{i\\in S}x_i\\right)=(-1)^k\\frac{a_{n-k}}{a_n}$<br>\u6216\u8005\u7528\u5bf9\u79f0\u591a\u9879\u5f0f\u8868\u793a\u4e3a\uff1a<br>$\\displaystyle e_k(x_1,x_2,\\dots,x_n)=(-1)^k\\frac{a_{n-k}}{a_n}\\\\\\begin{cases}e_0=1;\\\\e_1=\\sum_{i}x_i;\\\\e_2=\\sum_{i&lt;j}x_i x_j;\\\\\\dots\\\\e_n=\\prod_{i}x_i.\\end{cases}$<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>p.s.\u5bf9\u79f0\u591a\u9879\u5f0f\u7684\u8868\u793a\u65b9\u6cd5\uff08\u5373 $e_k$\uff09\u4e0d\u662f\u6211\u60f3\u7684\uff08\u6bd5\u7adf\u6211\u662ffw\uff09\uff0c\u6709\u9519\u89c1\u8c05\u3002<\/p>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>\u7ecf\u8fc7\u6076\u5fc3\u7684\u4f5c\u4e1a\u7684\u718f\u9676\uff0c\u597d\u50cf\u7a81\u7136\u53d1\u73b0\u5bf9\u4e8e\u97e6\u8fbe\u5b9a\u7406\u63a8\u5e7f\u540e\u7684\u90a3\u4e00\u7ec4\u5f0f\u5b50\u53ef\u4ee5\u7b80\u6d01\u7684\u603b\u7ed3\u6210\u4e00\u4e2a\u521d\u7b49\u591a\u9879\u5f0f\uff0c\u5373\u5bf9\u4e8e\u4e00\u5143 $ [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[11],"class_list":["post-108","post","type-post","status-publish","format-standard","hentry","category--mathematics","tag-11"],"featured_image_src":null,"author_info":{"display_name":"CaelumRadish_c","author_link":"https:\/\/tblog.zeabur.app\/?author=1"},"_links":{"self":[{"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=\/wp\/v2\/posts\/108","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=108"}],"version-history":[{"count":7,"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=\/wp\/v2\/posts\/108\/revisions"}],"predecessor-version":[{"id":117,"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=\/wp\/v2\/posts\/108\/revisions\/117"}],"wp:attachment":[{"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=108"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=108"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=108"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}