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<h2 id="欧拉函数"><a href="#欧拉函数" class="headerlink" title="欧拉函数"></a>欧拉函数</h2>
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<h2 id="组合数"><a href="#组合数" class="headerlink" title="组合数"></a>组合数</h2><p>$$C^m_{n}\quad 也可以表示为 \quad \begin{pmatrix} n\\ m\end{pmatrix} \quad $$</p>
<h3 id="递推公式"><a href="#递推公式" class="headerlink" title="递推公式"></a>递推公式</h3><p>$$C_n^m=C_{n-1}^m+C_{n-1}^{m-1}$$<br>
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<h2 id="匹配（Match）"><a href="#匹配（Match）" class="headerlink" title="匹配（Match）"></a>匹配（Match）</h2><blockquote>
<p> 对于一个给定的图$G= (V,E)$，这幅图的一个匹配$M$（或称独立边集）是图$G$ 的一个子图（由原来的图的一部分顶点和一部分边构成的图），其中任意两条边都不相邻（没有公共顶点）。 这时每个顶点都至多连出一条边，而每一条边都将一对顶点相匹配。</p>
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<li>如果一个匹配中，图中的每个顶点都和图中某条边相关联，则称此匹配为完全匹配，也称作完备匹配。 </li>
<li>极大匹配 (Maximal Matching) 是指在当前已完成的匹配下，无法再通过增加未完成匹配的边的方式来增加匹配的边数。</li>
<li>最大匹配 (Maximum Matching) 是所有极大匹配当中边数最大的一个匹配。选择这样的边数最大的子集称为图的最大匹配问题。
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<h3 id="Problem-Description"><a href="#Problem-Description" class="headerlink" title="Problem Description"></a>Problem Description</h3><p>Chiaki is interested in an infinite sequence $a_1, a_2, a_3, …$ which is defined as follows: </p>
<p>$$a_n=\begin{cases}1 & n = 1,2 \\ a_{n - a_{n-1}} + a_{n-1 - a_{n-2}} & n \ge 3\end{cases}$$</p>
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<a class="post-title-link" href="/2018/07/29/Markdown-数学公式/" itemprop="url">Markdown 数学公式</a></h1>
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2018-07-29
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<h3 id="分数、平方"><a href="#分数、平方" class="headerlink" title="分数、平方"></a>分数、平方</h3><table>
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<th>算式</th>
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<td>$\frac{7x+5}{1+y^2}$</td>
<td>\frac{7x+5}{1+y^2}</td>
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<h3 id="累加、下标"><a href="#累加、下标" class="headerlink" title="累加、下标"></a>累加、下标</h3><table>
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<td>$\sum _{i=1}^{n}{a_i}$</td>
<td>\sum _{i=1}^{n}{a_i}</td>
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