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<!DOCTYPE html>
<html lang="en">
<head>
<!-- 元数据 -->
<meta charset="utf-8">
<link rel="icon" href="../images/lvy.webp">
<title>没进水的脑子</title>
<meta name="author" content="没进水的脑子" />
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<meta http-equiv="X-UA-Compatible" content="IE=edge" />
<meta name="robots" content="index,follow" />
<meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=1" />
<meta name="format-detection" content="telphone=no, email=no" />
<meta name="keywords" content="" />
<meta name="description" content="一个单纯的博客网站">
<meta property="og:type" content="website">
<meta property="og:title" content="没进水的脑子">
<meta property="og:url" content="http://example.com/index.html">
<meta property="og:site_name" content="没进水的脑子">
<meta property="og:description" content="一个单纯的博客网站">
<meta property="og:locale" content="en_US">
<meta property="og:image" content="http://example.com/images/lvy.webp">
<meta property="article:author" content="没进水的脑子">
<meta name="twitter:card" content="summary">
<meta name="twitter:image" content="http://example.com/images/lvy.webp">
<!-- 站点验证相关 -->
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<link rel="stylesheet" id="kratos-css" href="/css/kratosr.min.css" media="all"></script>
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<script src="/js/kr-dark.min.js"></script>
<link rel="stylesheet" id="highlight-css" href="/css/highlight/night-eighties.min.css" media="all"></script>
<link rel="stylesheet" id="fontawe-css" href="/vendors/font-awesome@4.7.0/css/font-awesome.min.css" media="all"></script>
<link rel="stylesheet" id="nprogress-css" href="/vendors/nprogress@0.2.0/nprogress.css" media="all"></script>
<link rel="stylesheet" href="/vendors/aplayer@1.10.1/dist/APlayer.min.css"></script>
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<script src="/vendors/jquery@3.6.0/dist/jquery.min.js"></script>
<script src="/vendors/qrcode_js@1.0.0/qrcode.min.js"></script>
<style>
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<meta name="generator" content="Hexo 6.3.0"><style>mjx-container[jax="SVG"] {
direction: ltr;
}
mjx-container[jax="SVG"] > svg {
overflow: visible;
}
mjx-container[jax="SVG"][display="true"] {
display: block;
text-align: center;
margin: 1em 0;
}
mjx-container[jax="SVG"][justify="left"] {
text-align: left;
}
mjx-container[jax="SVG"][justify="right"] {
text-align: right;
}
g[data-mml-node="merror"] > g {
fill: red;
stroke: red;
}
g[data-mml-node="merror"] > rect[data-background] {
fill: yellow;
stroke: none;
}
g[data-mml-node="mtable"] > line[data-line] {
stroke-width: 70px;
fill: none;
}
g[data-mml-node="mtable"] > rect[data-frame] {
stroke-width: 70px;
fill: none;
}
g[data-mml-node="mtable"] > .mjx-dashed {
stroke-dasharray: 140;
}
g[data-mml-node="mtable"] > .mjx-dotted {
stroke-linecap: round;
stroke-dasharray: 0,140;
}
g[data-mml-node="mtable"] > svg {
overflow: visible;
}
[jax="SVG"] mjx-tool {
display: inline-block;
position: relative;
width: 0;
height: 0;
}
[jax="SVG"] mjx-tool > mjx-tip {
position: absolute;
top: 0;
left: 0;
}
mjx-tool > mjx-tip {
display: inline-block;
padding: .2em;
border: 1px solid #888;
font-size: 70%;
background-color: #F8F8F8;
color: black;
box-shadow: 2px 2px 5px #AAAAAA;
}
g[data-mml-node="maction"][data-toggle] {
cursor: pointer;
}
mjx-status {
display: block;
position: fixed;
left: 1em;
bottom: 1em;
min-width: 25%;
padding: .2em .4em;
border: 1px solid #888;
font-size: 90%;
background-color: #F8F8F8;
color: black;
}
foreignObject[data-mjx-xml] {
font-family: initial;
line-height: normal;
overflow: visible;
}
.MathJax path {
stroke-width: 3;
}
mjx-container[display="true"] {
overflow: auto hidden;
}
mjx-container[display="true"] + br {
display: none;
}
</style></head>
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</li>
</ul>
</nav>
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<header id="kratos-mobile-topnav" class="kratos-topnav">
<div class="container">
<div class="color-logo"><a href="/">没进水的脑子</a></div>
<div class="nav-toggle">
<a class="kratos-nav-toggle js-kratos-nav-toggle">
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<div class="kratos-start kratos-hero-2">
<!-- <div class="kratos-overlay"></div> -->
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<div class="desc desc2 animate-box">
<a href="/">
<h2>没进水的脑子</h2> <br />
<span>——博客——</span>
</a>
</div>
</div>
</div>
<div id="kratos-blog-post">
<div class="container">
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<section class="col-md-8">
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<article class="kratos-hentry clearfix" itemscope itemtype="https://schema.org/Article">
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<a href="/2023/08/28/%E6%8B%89%E6%A0%BC%E6%9C%97%E6%97%A5%E6%8F%92%E5%80%BC%E8%AF%81%E6%98%8E-%E6%A8%A1%E6%9D%BF/">
<img class="kratos-entry-thumb-new-img" alt="">
</a>
</div>
<div class="kratos-post-inner-new">
<header class="kratos-entry-header-new">
<a class="label-link" href="/categories/%E6%95%B0%E5%AD%A6/">数学</a>
<h2 class="kratos-entry-title-new"><a href="/2023/08/28/%E6%8B%89%E6%A0%BC%E6%9C%97%E6%97%A5%E6%8F%92%E5%80%BC%E8%AF%81%E6%98%8E-%E6%A8%A1%E6%9D%BF/" itemprop="mainEntityOfPage"><span itemprop="name headline">拉格朗日插值证明+模板</span></a>
</header>
<div class="kratos-entry-content-new">
<p itemProp="description">
开学力,悲(虽然一直没放假吧)。在做往年 真题的时候出现了这么一道题,于是开始恶补拉格朗日插值(之前学的都还给高数课本了)。
拉格朗日插值首先让我们一起膜拜一下约瑟夫·拉格朗日。
定义概念一般地,若已知 在互不相同 个点 ...
</p>
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<time datetime="2023-08-28T11:46:08.915Z" itemprop="datePublished">
<a><i class="fa fa-calendar"></i> 2023-08-28</a>
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<a class="label-link" href="/categories/%E5%9B%BE%E8%AE%BA/">图论</a>
<h2 class="kratos-entry-title-new"><a href="/2023/08/22/%E5%9B%BE%E8%AE%BA%E6%80%BB%E7%BB%93/" itemprop="mainEntityOfPage"><span itemprop="name headline">图论总结</span></a>
</header>
<div class="kratos-entry-content-new">
<p itemProp="description">
图论总结图的基本表示方法设 为一张图, 为点集, 为边集,则有
G=(V,E)\\
V={v_1,v_2,\dots,v_n}\\
E=\{e_{i,j}\}_{i,j=1}^n对于每一条边 都有其对应权值 。
图的存储方法
首...
</p>
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<time datetime="2023-08-22T10:09:01.363Z" itemprop="datePublished">
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<a class="read-more" href="/2023/08/22/%E5%9B%BE%E8%AE%BA%E6%80%BB%E7%BB%93/" title="阅读全文">阅读全文<i class="fa fa-chevron-circle-right"></i></a>
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<a class="label-link" href="/categories/%E5%9B%BE%E8%AE%BA/">图论</a>
<h2 class="kratos-entry-title-new"><a href="/2023/08/19/%E6%B5%85%E8%B0%88%E5%85%B3%E7%B3%BB%E7%9F%A9%E9%98%B5/" itemprop="mainEntityOfPage"><span itemprop="name headline">浅谈关系矩阵</span></a>
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<div class="kratos-entry-content-new">
<p itemProp="description">
原地址
浅谈关系矩阵什么是关系矩阵关系矩阵就是用矩阵来表示关系,关系矩阵中的数值一般为**0**或**1**(也就是**bool**型),当然有些关系矩阵有自己的意义,具体情况具体分析。
举个例子:
\begin{vmatr...
</p>
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子集容斥与二项式反演学习笔记子集容斥公式:
\begin{align*}
g(S)&=\sum\limits_{T\subseteq S}f(T)\\
f(S)&=\sum\limits_{T\subseteq S}(-...
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组合数学学习笔记组合数学常用公式基本公式
排列:
A_{n}^r=\frac{n!}{(n-r)!}
组合:
C_{n}^r=\frac{n!}{r!(n-r)!} \\
\dbinom{n...
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前言听说 cnblogs 有些经济困难,所以先把那里的博文搬过来,当然还是祝愿 cnblogs 可以一直发展下去,听说 cnblogs 为了保命要出会员功能,如果确实合理的话也一定会大力支持的。
斜率优化学习笔记
前言
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在一个月不黑风不高的晚上,某位神犇在为我们讲一道名为十二重计数法(神犇的blog)的神仙数学题时,出现了一个十分有趣的式子:
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