https://www.elainafan.one/categories/%E6%95%B0%E5%AD%A6/Recent content in 数学 on ElainafanHugo -- gohugo.iozh-cnelainafanFri, 02 Jan 2026 00:00:00 +0000https://www.elainafan.one/p/%E4%BB%8E%E9%9B%B6%E5%BC%80%E5%A7%8B%E7%9A%84%E4%BF%A1%E6%A6%82%E7%BB%9F/Fri, 02 Jan 2026 00:00:00 +0000https://www.elainafan.one/p/%E4%BB%8E%E9%9B%B6%E5%BC%80%E5%A7%8B%E7%9A%84%E4%BF%A1%E6%A6%82%E7%BB%9F/<h2 id="前言">前言 </h2><p>这是《信息学中的概率统计》的课程笔记整理，主要记录概率论、随机变量、尾界、参数估计和回归分析相关内容。</p> <h2 id="阅读入口">阅读入口 </h2><h3 id="概率论基础">概率论基础 </h3><ul> <li><a class="link" href="https://www.elainafan.one/p/%E8%AF%BE%E7%A8%8B%E4%BB%8B%E7%BB%8D%E4%B8%8E%E6%A6%82%E7%8E%87%E8%AE%BA%E5%9F%BA%E7%A1%80/" >课程介绍与概率论基础</a> </li> <li><a class="link" href="https://www.elainafan.one/p/%E7%A6%BB%E6%95%A3%E9%9A%8F%E6%9C%BA%E5%8F%98%E9%87%8F/" >离散随机变量</a> </li> <li><a class="link" href="https://www.elainafan.one/p/%E8%BF%9E%E7%BB%AD%E9%9A%8F%E6%9C%BA%E5%8F%98%E9%87%8F/" >连续随机变量</a> </li> </ul> <h3 id="多维随机变量">多维随机变量 </h3><ul> <li><a class="link" href="https://www.elainafan.one/p/%E5%A4%9A%E7%BB%B4%E7%A6%BB%E6%95%A3%E9%9A%8F%E6%9C%BA%E5%8F%98%E9%87%8F/" >多维离散随机变量</a> </li> <li><a class="link" href="https://www.elainafan.one/p/%E5%A4%9A%E7%BB%B4%E8%BF%9E%E7%BB%AD%E9%9A%8F%E6%9C%BA%E5%8F%98%E9%87%8F/" >多维连续随机变量</a> </li> </ul> <h3 id="极限定理与统计推断">极限定理与统计推断 </h3><ul> <li><a class="link" href="https://www.elainafan.one/p/%E5%B0%BE%E4%B8%8D%E7%AD%89%E5%BC%8F%E5%A4%A7%E6%95%B0%E5%AE%9A%E5%BE%8B%E5%92%8C%E4%B8%AD%E5%BF%83%E6%9E%81%E9%99%90%E5%AE%9A%E7%90%86/" >尾不等式、大数定律和中心极限定理</a> </li> <li><a class="link" href="https://www.elainafan.one/p/%E5%8F%82%E6%95%B0%E4%BC%B0%E8%AE%A1/" >参数估计</a> </li> <li><a class="link" href="https://www.elainafan.one/p/%E5%9B%9E%E5%BD%92%E5%88%86%E6%9E%90/" >回归分析</a> </li> </ul>https://www.elainafan.one/p/%E4%BB%8E%E9%9B%B6%E5%BC%80%E5%A7%8B%E7%9A%84%E9%9F%B3%E4%B9%90%E4%B8%8E%E6%95%B0%E5%AD%A6/Mon, 08 Sep 2025 00:00:00 +0000https://www.elainafan.one/p/%E4%BB%8E%E9%9B%B6%E5%BC%80%E5%A7%8B%E7%9A%84%E9%9F%B3%E4%B9%90%E4%B8%8E%E6%95%B0%E5%AD%A6/<h2 id="前言">前言 </h2><p>这是北京大学《音乐与数学》课程的课程笔记，本课程由王杰老师、毕明辉老师教授。</p> <h2 id="笔记">笔记 </h2><h3 id="听觉与基础">听觉与基础 </h3><ul> <li><a class="link" href="https://www.elainafan.one/p/%E5%AF%BC%E8%AE%BA/" >导论</a> </li> <li><a class="link" href="https://www.elainafan.one/p/%E5%A6%82%E4%BD%95%E4%B8%8E%E9%9F%B3%E4%B9%90%E4%BA%A4%E6%9C%8B%E5%8F%8B/" >如何与音乐交朋友？</a> </li> <li><a class="link" href="https://www.elainafan.one/p/%E5%9F%BA%E7%A1%80%E4%B9%90%E7%90%86/" >基础乐理</a> </li> </ul> <h3 id="声音与律学">声音与律学 </h3><ul> <li><a class="link" href="https://www.elainafan.one/p/%E4%B8%80%E7%BB%B4%E6%8C%AF%E5%8A%A8%E6%96%B9%E7%A8%8B/" >一维振动方程</a> </li> <li><a class="link" href="https://www.elainafan.one/p/%E4%B9%90%E9%9F%B3%E4%BD%93%E7%B3%BB%E7%9A%84%E7%94%9F%E6%88%90/" >乐音体系的生成</a> </li> </ul> <h3 id="结构与变换">结构与变换 </h3><ul> <li><a class="link" href="https://www.elainafan.one/p/%E8%B0%83%E5%BC%8F%E9%9F%B3%E9%98%B6%E4%B8%8E%E5%92%8C%E5%BC%A6/" >调式、音阶与和弦</a> </li> <li><a class="link" href="https://www.elainafan.one/p/%E6%97%8B%E5%BE%8B%E4%B8%8E%E5%AF%B9%E7%A7%B0/" >旋律与对称</a> </li> <li><a class="link" href="https://www.elainafan.one/p/%E9%9F%B3%E7%B1%BB%E9%9B%86%E5%90%88%E4%B8%8E%E6%96%B0%E9%BB%8E%E6%9B%BC%E7%90%86%E8%AE%BA/" >音类集合与新黎曼理论</a> </li> </ul> <h3 id="生成与节奏">生成与节奏 </h3><ul> <li><a class="link" href="https://www.elainafan.one/p/%E6%9C%BA%E5%99%A8%E4%BD%9C%E6%9B%B2/" >机器作曲</a> </li> <li><a class="link" href="https://www.elainafan.one/p/%E6%95%B0%E5%AD%A6%E7%9A%84%E8%8A%82%E5%A5%8F%E4%B8%8E%E8%8A%82%E5%A5%8F%E7%9A%84%E6%95%B0%E5%AD%A6/" >数学的节奏与节奏的数学</a> </li> </ul>