https://elated-raman-42e0c2.netlify.app/tags/math/Recent content in Math on Sawyer Zheng's BlogHugozh-cnMon, 24 Feb 2025 12:42:11 +0800https://elated-raman-42e0c2.netlify.app/post/notes/math/matrix/Mon, 02 Sep 2024 00:00:00 +0000https://elated-raman-42e0c2.netlify.app/post/notes/math/matrix/<div id="outline-container-headline-1" class="outline-2"> <h2 id="headline-1"> 教程 </h2> <div id="outline-text-headline-1" class="outline-text-2"> <ul> <li> <p>d2l (dive into deep learning 中的数学基础) 中矩阵教程附录</p> <ul> <li><a href="https://d2l.ai/chapter_appendix-mathematics-for-deep-learning/geometry-linear-algebraic-ops.html#geometry-of-linear-transformations">22.1. Geometry and Linear Algebraic Operations — Dive into Deep Learning 1.0….</a></li> </ul> </li> <li> <p>CSDN 博主</p> <ul> <li><a href="https://blog.csdn.net/qq_45777142/article/details/107115586">张量基础学习（一 概念，求和指标，符号）_张量运算符号-CSDN博客</a></li> </ul> </li> </ul> </div> </div> <div id="outline-container-headline-2" class="outline-2"> <h2 id="headline-2"> 线性变换 linear transformations </h2> <div id="outline-text-headline-2" class="outline-text-2"> <div id="outline-container-headline-3" class="outline-3"> <h3 id="headline-3"> $[1, 0]^T$ </h3> <div id="outline-text-headline-3" class="outline-text-3"> <p>使用： $A \dot v$</p>https://elated-raman-42e0c2.netlify.app/post/notes/python/math_latex/Tue, 07 Feb 2023 00:00:00 +0000https://elated-raman-42e0c2.netlify.app/post/notes/python/math_latex/<div id="outline-container-headline-1" class="outline-2"> <h2 id="headline-1"> python 输出 latex 工具 </h2> <div id="outline-text-headline-1" class="outline-text-2"> <p>参考：</p> <ul> <li> <p>工具对比</p> <ul> <li><a href="https://codesolid.com/using-latex-in-python/">Using LaTeX In Python</a></li> </ul> </li> </ul> <p> 工具列表：</p> <ol> <li> <p>sympy</p> <ul> <li>可以解析 latex 成为 sympy 函数，注意：有可能解析错误</li> </ul> </li> <li> <p>SageMath</p> <ul> <li>这是一个工具集，底层有调用到 sympy 等</li> </ul> </li> <li> <p>latexifier</p> <ul> <li><a href="https://github.com/google/latexify_py">GitHub - google/latexify_py: A library to generate LaTeX expression from Pyth…</a></li> <li>demo: <a href="https://colab.research.google.com/drive/1MuiawKpVIZ12MWwyYuzZHmbKThdM5wNJ?usp=sharing#scrollTo=ySyNPS0y4tzu">Google Colab</a></li> <li> <p>功能：</p>https://elated-raman-42e0c2.netlify.app/post/notes/python/%E6%96%B9%E7%A8%8B%E7%BB%84/Mon, 04 May 2020 00:00:00 +0000https://elated-raman-42e0c2.netlify.app/post/notes/python/%E6%96%B9%E7%A8%8B%E7%BB%84/<div id="outline-container-headline-1" class="outline-2"> <h2 id="headline-1"> Tutorials </h2> </div> <div id="outline-container-headline-2" class="outline-2"> <h2 id="headline-2"> 分类 </h2> <div id="outline-text-headline-2" class="outline-text-2"> <p><a href="https://blog.csdn.net/jayloncheng/article/details/80003182">https://blog.csdn.net/jayloncheng/article/details/80003182</a></p> <div id="outline-container-headline-3" class="outline-3"> <h3 id="headline-3"> 正定方程组 </h3> <div id="outline-text-headline-3" class="outline-text-3"> <p>方程数量和未知数数量相等</p> </div> </div> <div id="outline-container-headline-4" class="outline-3"> <h3 id="headline-4"> 超定方程组，又称矛盾方程组 </h3> <div id="outline-text-headline-4" class="outline-text-3"> <p>方程数量超过（大于）未知数数量</p> <ul> <li> <p>解法</p> <ul> <li>使用 numpy.linalg.lstsq() 求解 <a href="https://numpy.org/doc/stable/reference/generated/numpy.linalg.lstsq.html">https://numpy.org/doc/stable/reference/generated/numpy.linalg.lstsq.html</a></li> <li>lstsq –&gt; least(lst) square(sq)</li> <li>本质：使用最小估二乘法</li> </ul> </li> <li> <p>实例</p>https://elated-raman-42e0c2.netlify.app/post/notes/math/math/Fri, 27 Dec 2019 00:00:00 +0000https://elated-raman-42e0c2.netlify.app/post/notes/math/math/<div id="outline-container-headline-1" class="outline-2"> <h2 id="headline-1"> 教程 </h2> <div id="outline-text-headline-1" class="outline-text-2"> <ul> <li><a href="https://face2ai.com/math/">人工智能 - 数学基础博客目录 | 谭升的博客</a></li> <li><a href="https://www.intmath.com/">Interactive Mathematics - Learn math while you play with it!</a></li> </ul> </div> </div> <div id="outline-container-headline-2" class="outline-2"> <h2 id="headline-2"> 向量 </h2> <div id="outline-text-headline-2" class="outline-text-2"> <div id="outline-container-headline-3" class="outline-3"> <h3 id="headline-3"> 点积 </h3> <div id="outline-text-headline-3" class="outline-text-3"> <div id="outline-container-headline-4" class="outline-4"> <h4 id="headline-4"> 名称 </h4> <div id="outline-text-headline-4" class="outline-text-4"> <p>不同的称呼：点积，数量积，内积</p> </div> </div> <div id="outline-container-headline-5" class="outline-4"> <h4 id="headline-5"> 结果 </h4> <div id="outline-text-headline-5" class="outline-text-4"> <p>数值，不是向量</p> </div> </div> <div id="outline-container-headline-6" class="outline-4"> <h4 id="headline-6"> 运算法则 </h4> <div id="outline-text-headline-6" class="outline-text-4"> <div id="outline-container-headline-7" class="outline-5"> <h5 id="headline-7"> 表示方法 </h5> <div id="outline-text-headline-7" class="outline-text-5"> <ul> <li> <p>数值</p>