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众所周知SVD(奇异值分解)可以用于最小二乘法求齐次线性方程组$A\vec,">
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<h3 class="subtitle">想法速记SVD求齐次线性方程组 Ax=0 的解</h3>
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<h3 class="post-title animated fadeInDown"><a href="/SVD-for-homogeneous-linear-equation/" title="想法速记SVD求齐次线性方程组 Ax&#x3D;0 的解" class="">想法速记SVD求齐次线性方程组 Ax&#x3D;0 的解</a>
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<p>众所周知SVD(奇异值分解)可以用于最小二乘法求齐次线性方程组$A\vec{x}=\vec{0}$的解。我看了很多资料,大多使用数学公式推导,得出结论。但是,曾经线性代数差点挂科的我,总觉得有些蹊跷。想了两天,终于有了一些感性的认知(不一定是对的😂),赶紧记录下来。</p>
<h2 id="矩阵有何意义"><a class="header-anchor" href="#矩阵有何意义"></a>矩阵有何意义</h2>
<p>按照我的理解,一个矩阵的实际意义是对应一个线性变换,这个变换可以理解为瞬间运动。例如,一个旋转矩阵,</p>
<p>$$<br>
A=\begin{bmatrix}<br>
cos\theta &amp; sin\theta \\\<br>
-sin\theta &amp; cos\theta<br>
\end{bmatrix}<br>
$$</p>
<p>它的意思是,把一个向量顺时针旋转$\theta$。也就是说,给定一个$\vec{v_1}=[-1, 1]^T$, 那么变换的结果就是$\vec{v_2}=A\vec{v_1}=[1, 1]^T$.</p>
<p>除了旋转,矩阵还可以表示包括缩放,投影在内的所有<strong>线性变换</strong></p>
<p>十分推荐大家去看 3Blue1Brown 的 <em>线性代数的本质</em>B 站有<a href="https://www.bilibili.com/video/BV1ys411472E" target="_blank" rel="noopener">官方翻译版</a>,它完全颠覆了我对线性代数的认知。</p>
<h2 id="SVD到底干了什么"><a class="header-anchor" href="#SVD到底干了什么"></a>SVD到底干了什么</h2>
<p>$$<br>
A = U\Sigma V^T<br>
$$</p>
<p>SVD把矩阵$A(m\times n)$分解成了,</p>
<ul>
<li>$U(m\times m)$: 左奇异矩阵</li>
<li>$\Sigma(m\times n)$: 奇异值矩阵</li>
<li>$V(n\times n)$: 右奇异矩阵</li>
</ul>
<p>重点来了SVD的意思就是把一个本来由矩阵$A$表示的变换,转化成一个由$U,\Sigma,V$表示的变换。这个变换是,把一个向量,从以$V$为基向量的空间线性变换到成以$U$为基向量的空间中去($\Sigma$的意义可以说是缩放,待证实,暂时忽略)。这样我们就可以更深入的理解这个变换了。</p>
<p>例如旋转$\vec{v_1}$90度得到$\vec{v_2}$</p>
<p><img src="//davidz.cn/static/blog/2020-06-04-SVD-for-homogeneous-linear-equation/rotate90.svg" alt="rotate 90"></p>
<p>其中,</p>
<p>$$<br>
U=\begin{bmatrix}<br>
0 &amp; 1 \\\<br>
1 &amp; 0<br>
\end{bmatrix}<br>
$$</p>
<p>$$<br>
\Sigma=\begin{bmatrix}<br>
1 &amp; 1<br>
\end{bmatrix}<br>
$$</p>
<p>$$<br>
V=\begin{bmatrix}<br>
-1 &amp; 0 \\\<br>
0 &amp; 1<br>
\end{bmatrix}<br>
$$</p>
<p>也就是说,矩阵$A$可以被理解为,我们把一个向量$\vec{v_1}$,从以$\vec{e_1}=[-1, 0]^T,\vec{e_2}=[0, 1]^T$为基向量的空间线性变换到了以$\vec{e_1}=[0, 1]^T,\vec{e_2}=[1, 0]^T$为基向量的空间中。这个变换表现为旋转了90度。</p>
<h2 id="所以如何理解"><a class="header-anchor" href="#所以如何理解"></a>所以如何理解</h2>
<p>说回求齐次线性方程组$Ax=0$的解来。</p>
<p>按照矩阵的意义,我们这里要求的是,已知一个线性变换$A$,给定一个$\vec{x}$,使得线性变换后的结果为$\vec{0}$。</p>
<p>此时非常重要的是,如果$x=\vec{0}$,那一定成立,但是我们想找一个非平凡的解。</p>
<p>我们暂时不关心这个解是否存在也就是说如果不存在我们就找个最接近的最小二乘法思想我们直接使用SVD分解矩阵$A$,得到对应的$U,\Sigma,V$。</p>
<p>按照SVD的作用我们现在可以说矩阵$A$这个线性变换,把一个$\vec{x}$,从以$V$为基向量的空间线性变换到了以$U$为基向量的空间中,而我们想找,在以$V$为基向量的空间中,哪个向量会在投影后趋近于或者等于$\vec{0}$。更重要的是,我们只在乎这个向量的方向,而不在乎他的大小,因为它等于$\vec{0}$是个平凡解,这就像最小二乘法中,我们规定$|\vec{x}|=1$。</p>
<p>这时,答案就开始变得清晰了,因为我们想找的$\vec{x}$,应该就是$V$这组基向量中特异值$\sigma$最小的那一个$\vec{e_{min}}$,也就是说$\vec{x}=\vec{e_{min}}$。此时有两种情况,</p>
<ol>
<li>$\sigma=0$ 那么$\vec{x}$投影后的就是$\vec{0}$。</li>
<li>$\sigma\neq0$,那么$\vec{x}$投影后是使$A\vec{x}$最小的解。因为如果$\vec{x}\neq\vec{e_{min}}$,也就是说它偏离了$\vec{e_{min}}$,那么它一定由$\vec{e_{min}}$和另一个基向量线性组合,而无论怎么组合,$\sigma_{combine}\geq\sigma_{min}$。</li>
</ol>
<p>因此,我们求解$A\vec{x}=0$的过程就是,</p>
<ol>
<li>$U,\Sigma,V^T=SVD(A)$</li>
<li>$\vec{x}=V[:, -1]$</li>
</ol>
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<ol class="toc"><li class="toc-item toc-level-2"><a class="toc-link" href="#矩阵有何意义"><span class="toc-number">1.</span> <span class="toc-text">¶矩阵有何意义</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#SVD到底干了什么"><span class="toc-number">2.</span> <span class="toc-text">¶SVD到底干了什么</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#所以如何理解"><span class="toc-number">3.</span> <span class="toc-text">¶所以如何理解</span></a></li></ol>
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原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶Q
我在博客中写公式的时候使用双斜线\\来代表换行,效果是这样的,
$$
\begin{bmatrix}
cos\theta &amp; sin\theta \
-sin\theta &amp; cos\theta
\end{bmatrix}
$$
那么如何插入多行公式...
</p>
</div>
</li>
<li class="timeline-item">
<div class="timeline-info">
<span class="gradient-text">六月 04, 2020</span>
</div>
<div class="timeline-marker"></div>
<div class="timeline-content">
<a class="timeline-title" target="_self" href="/SVD-for-homogeneous-linear-equation/">想法速记SVD求齐次线性方程组 Ax=0 的解</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
众所周知SVD(奇异值分解)可以用于最小二乘法求齐次线性方程组$A\vec{x}=\vec{0}$的解。我看了很多资料,大多使用数学公式推导,得出结论。但是,曾经线性代数差点挂科的我,总觉得有些蹊跷。想了两天,终于有了一些感性的认知(不一定是对的😂),赶紧记录下来。
...
</p>
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<a class="timeline-title" target="_self" href="/multiline-equation-in-hexo/">技巧速记如何在Hexo中插入多行公式</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶Q
我在博客中写公式的时候使用双斜线\\来代表换行,效果是这样的,
$$
\begin{bmatrix}
cos\theta &amp; sin\theta \
-sin\theta &amp; cos\theta
\end{bmatrix}
$$
那么如何插入多行公式...
</p>
</div>
</li>
<li class="timeline-item">
<div class="timeline-info">
<span class="gradient-text">六月 04, 2020</span>
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<div class="timeline-marker"></div>
<div class="timeline-content">
<a class="timeline-title" target="_self" href="/SVD-for-homogeneous-linear-equation/">想法速记SVD求齐次线性方程组 Ax=0 的解</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
众所周知SVD(奇异值分解)可以用于最小二乘法求齐次线性方程组$A\vec{x}=\vec{0}$的解。我看了很多资料,大多使用数学公式推导,得出结论。但是,曾经线性代数差点挂科的我,总觉得有些蹊跷。想了两天,终于有了一些感性的认知(不一定是对的😂),赶紧记录下来。
...
</p>
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<span class="gradient-text">六月 04, 2020</span>
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<a class="timeline-title" target="_self" href="/multiline-equation-in-hexo/">技巧速记如何在Hexo中插入多行公式</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶Q
我在博客中写公式的时候使用双斜线\\来代表换行,效果是这样的,
$$
\begin{bmatrix}
cos\theta &amp; sin\theta \
-sin\theta &amp; cos\theta
\end{bmatrix}
$$
那么如何插入多行公式...
</p>
</div>
</li>
<li class="timeline-item">
<div class="timeline-info">
<span class="gradient-text">六月 04, 2020</span>
</div>
<div class="timeline-marker"></div>
<div class="timeline-content">
<a class="timeline-title" target="_self" href="/SVD-for-homogeneous-linear-equation/">想法速记SVD求齐次线性方程组 Ax=0 的解</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
众所周知SVD(奇异值分解)可以用于最小二乘法求齐次线性方程组$A\vec{x}=\vec{0}$的解。我看了很多资料,大多使用数学公式推导,得出结论。但是,曾经线性代数差点挂科的我,总觉得有些蹊跷。想了两天,终于有了一些感性的认知(不一定是对的😂),赶紧记录下来。
...
</p>
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<li class="timeline-item period">
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<h2 class="timeline-title">六月 2020</h2>
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<span class="gradient-text">六月 04, 2020</span>
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<a class="timeline-title" target="_self" href="/multiline-equation-in-hexo/">技巧速记如何在Hexo中插入多行公式</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶Q
我在博客中写公式的时候使用双斜线\\来代表换行,效果是这样的,
$$
\begin{bmatrix}
cos\theta &amp; sin\theta \
-sin\theta &amp; cos\theta
\end{bmatrix}
$$
那么如何插入多行公式...
</p>
</div>
</li>
<li class="timeline-item">
<div class="timeline-info">
<span class="gradient-text">六月 04, 2020</span>
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<a class="timeline-title" target="_self" href="/SVD-for-homogeneous-linear-equation/">想法速记SVD求齐次线性方程组 Ax=0 的解</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
众所周知SVD(奇异值分解)可以用于最小二乘法求齐次线性方程组$A\vec{x}=\vec{0}$的解。我看了很多资料,大多使用数学公式推导,得出结论。但是,曾经线性代数差点挂科的我,总觉得有些蹊跷。想了两天,终于有了一些感性的认知(不一定是对的😂),赶紧记录下来。
...
</p>
</div>
</li>
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<h2 class="timeline-title">五月 2020</h2>
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<span class="gradient-text">五月 17, 2020</span>
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<a class="timeline-title" target="_self" href="/rattle-change-language/">技巧速记:更改 Rattle 的语言</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶Q
如何把Rattle的语言设置成英文从而避免显示XXX。
¶A
在R_HOME/etc/Rprofile.site的最后添加
Sys.setenv(LANG=&quot;en&quot;)
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<span class="gradient-text">二月 21, 2020</span>
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<a class="timeline-title" target="_self" href="/jenkins-update-solution-inside-gfw/">墙内 Jenkins 插件下载的一种解决方案</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶前言
闲来无聊,在家折腾 DevOps第一步当然是部署一个 Jenkins 啦,然而一顿操作猛如虎,插件一个都下载不下来,总不能给 Jenkins 加个代理吧,所以有了下面这一通折腾。
¶原因
根据经验,国外这些软件下载失败基本上都是因为链接不上服务器,换个源就好了...
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<span class="gradient-text">二月 12, 2020</span>
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<a class="timeline-title" target="_self" href="/write-latex-report-with-markdown/">使用 Markdown 编写基于 Latex 的报告</a>
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原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶前言
计算机这个专业,有很多报告要做。在山威的时候,报告格式没有什么限制 WordPDF 都可以,那个时候我开始使用 Markdown 作为我的排版工具,因为实在是没有时间经历去研究 Word 的各种高级功能主要是懒。Markdown 十分简单易学在Githu...
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<span class="gradient-text">二月 11, 2020</span>
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<a class="timeline-title" target="_self" href="/inspur-ip-guard-uninstallation/">卸载浪潮安装的 IP-GUARD 监控软件</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶前言
屋漏更遭连夜雨,船迟又遇打头风。
刚刚处理完 Docker 里面的“病毒”,又发现自己的笔记本被安装了监控软件,身后一阵凉风。
¶发现
事发突然,因为影响我开发,所以也没有来得及截图。
为了使用 WSL2 里面的 Docker我加入了 Windows 预...
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<span class="gradient-text">二月 10, 2020</span>
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<a class="timeline-title" target="_self" href="/kinsing-virus/">&#34;寄生&#34;于 Docker 的病毒 - Kinsing</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶前言
2020 年开年不顺2019 新型冠状病毒肺炎爆发,从年三十居家隔离到了正月十五,没想到自己的服务器也”感染“上了病毒 - Kinsing(进程的名字,姑且这样称呼)。
¶发现
偶然看了看服务器状态,发现 CPU 占用一直保持在 100%上下,有些蹊跷。
难道...
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<span class="gradient-text">二月 03, 2020</span>
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<a class="timeline-title" target="_self" href="/windows-package-manager-scoop/">Windows 包管理器 - Scoop</a>
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原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶前言
一直以来作为开发者Windows 相较于 Linux 都缺少两样重要的工具,
好用的 Shell - 现在可以用 PowerShell Core 或者 WSL 暂时代替。
好用的包管理器 - 在开发时 C/Cpp 的库可以用VCPKG而日常使用的软件就可以...
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<span class="gradient-text">一月 31, 2020</span>
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<a class="timeline-title" target="_self" href="/beauty-is-productivity-windows-terminal/">颜值是第一生产力 - Windows Terminal</a>
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原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶回顾
记得我最早的时候用 Visual Studio 写了第一个 Hello World 程序,激动的点运行,出来个黑框一闪就过去了,啥也没看到。
后来偶然了解 PowerShell又变成了一个蓝色的框还会有进度提示红的黑的突兀得很😢。
后来上了大学终...
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<span class="gradient-text">一月 27, 2020</span>
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<a class="timeline-title" target="_self" href="/inspur-internship/">浪潮实习</a>
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原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶前言
到了期末都说要找个实习的工作,我也跟个风😂。
我是主要是在实习僧上找的(就当免费做个广告吧),我住在美丽的泉城济南,这个地方好就好在,咳咳咳,我大概填了填简历,可能是没啥亮点,投了三四家都不要我😢。
我分析原因大概有以下几条:
我最喜欢最熟练的语言是 Pyt...
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<span class="gradient-text">一月 11, 2020</span>
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<a class="timeline-title" target="_self" href="/anu-comp2310-assignment1/">ANU COMP2310(2019) Assignment 1</a>
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原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
敬告
本博客仅供参考,请不要抄袭。
¶前言
这是 ANU COMP2310的第一次大作业历时一个月左右也是这个学期我写的最认真的一次作业所以在博客搭建伊始我先把这个记录下来。
¶问题
根据Assignment 1 PDF中的描述大概的意思就是在三维空间中有许...
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<span class="gradient-text">一月 06, 2020</span>
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<a class="timeline-title" target="_self" href="/hello-world/">Hello World</a>
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原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
哈哈哈,这是一个经典的测试页面。
一直以来都想拥有一个自己的博客从WordPress开始到Typecho再到Halo甚至中途尝试用 Django 自己实现了一个(不过样子也太丑了),虽然说一直在捣鼓博客,但是从来都是安装=&gt;部署=&gt;安装插件=&gt;选...
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<p style="text-align: center">「 12</p>
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<a class="timeline-title" target="_self" href="/multiline-equation-in-hexo/">技巧速记如何在Hexo中插入多行公式</a>
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原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶Q
我在博客中写公式的时候使用双斜线\\来代表换行,效果是这样的,
$$
\begin{bmatrix}
cos\theta &amp; sin\theta \
-sin\theta &amp; cos\theta
\end{bmatrix}
$$
那么如何插入多行公式...
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<a class="timeline-title" target="_self" href="/SVD-for-homogeneous-linear-equation/">想法速记SVD求齐次线性方程组 Ax=0 的解</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
众所周知SVD(奇异值分解)可以用于最小二乘法求齐次线性方程组$A\vec{x}=\vec{0}$的解。我看了很多资料,大多使用数学公式推导,得出结论。但是,曾经线性代数差点挂科的我,总觉得有些蹊跷。想了两天,终于有了一些感性的认知(不一定是对的😂),赶紧记录下来。
...
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<h2 class="timeline-title">六月 2020</h2>
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<span class="gradient-text">六月 04, 2020</span>
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<a class="timeline-title" target="_self" href="/multiline-equation-in-hexo/">技巧速记如何在Hexo中插入多行公式</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶Q
我在博客中写公式的时候使用双斜线\\来代表换行,效果是这样的,
$$
\begin{bmatrix}
cos\theta &amp; sin\theta \
-sin\theta &amp; cos\theta
\end{bmatrix}
$$
那么如何插入多行公式...
</p>
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<span class="gradient-text">六月 04, 2020</span>
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<a class="timeline-title" target="_self" href="/SVD-for-homogeneous-linear-equation/">想法速记SVD求齐次线性方程组 Ax=0 的解</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
众所周知SVD(奇异值分解)可以用于最小二乘法求齐次线性方程组$A\vec{x}=\vec{0}$的解。我看了很多资料,大多使用数学公式推导,得出结论。但是,曾经线性代数差点挂科的我,总觉得有些蹊跷。想了两天,终于有了一些感性的认知(不一定是对的😂),赶紧记录下来。
...
</p>
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<h2 class="timeline-title">五月 2020</h2>
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<span class="gradient-text">五月 17, 2020</span>
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<a class="timeline-title" target="_self" href="/rattle-change-language/">技巧速记:更改 Rattle 的语言</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶Q
如何把Rattle的语言设置成英文从而避免显示XXX。
¶A
在R_HOME/etc/Rprofile.site的最后添加
Sys.setenv(LANG=&quot;en&quot;)
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<h2 class="timeline-title">二月 2020</h2>
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<span class="gradient-text">二月 21, 2020</span>
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<a class="timeline-title" target="_self" href="/jenkins-update-solution-inside-gfw/">墙内 Jenkins 插件下载的一种解决方案</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶前言
闲来无聊,在家折腾 DevOps第一步当然是部署一个 Jenkins 啦,然而一顿操作猛如虎,插件一个都下载不下来,总不能给 Jenkins 加个代理吧,所以有了下面这一通折腾。
¶原因
根据经验,国外这些软件下载失败基本上都是因为链接不上服务器,换个源就好了...
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<span class="gradient-text">二月 12, 2020</span>
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<a class="timeline-title" target="_self" href="/write-latex-report-with-markdown/">使用 Markdown 编写基于 Latex 的报告</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶前言
计算机这个专业,有很多报告要做。在山威的时候,报告格式没有什么限制 WordPDF 都可以,那个时候我开始使用 Markdown 作为我的排版工具,因为实在是没有时间经历去研究 Word 的各种高级功能主要是懒。Markdown 十分简单易学在Githu...
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<span class="gradient-text">二月 11, 2020</span>
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<a class="timeline-title" target="_self" href="/inspur-ip-guard-uninstallation/">卸载浪潮安装的 IP-GUARD 监控软件</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶前言
屋漏更遭连夜雨,船迟又遇打头风。
刚刚处理完 Docker 里面的“病毒”,又发现自己的笔记本被安装了监控软件,身后一阵凉风。
¶发现
事发突然,因为影响我开发,所以也没有来得及截图。
为了使用 WSL2 里面的 Docker我加入了 Windows 预...
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<span class="gradient-text">二月 10, 2020</span>
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<a class="timeline-title" target="_self" href="/kinsing-virus/">&#34;寄生&#34;于 Docker 的病毒 - Kinsing</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶前言
2020 年开年不顺2019 新型冠状病毒肺炎爆发,从年三十居家隔离到了正月十五,没想到自己的服务器也”感染“上了病毒 - Kinsing(进程的名字,姑且这样称呼)。
¶发现
偶然看了看服务器状态,发现 CPU 占用一直保持在 100%上下,有些蹊跷。
难道...
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<a class="timeline-title" target="_self" href="/windows-package-manager-scoop/">Windows 包管理器 - Scoop</a>
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原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶前言
一直以来作为开发者Windows 相较于 Linux 都缺少两样重要的工具,
好用的 Shell - 现在可以用 PowerShell Core 或者 WSL 暂时代替。
好用的包管理器 - 在开发时 C/Cpp 的库可以用VCPKG而日常使用的软件就可以...
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<span class="gradient-text">一月 31, 2020</span>
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<a class="timeline-title" target="_self" href="/beauty-is-productivity-windows-terminal/">颜值是第一生产力 - Windows Terminal</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶回顾
记得我最早的时候用 Visual Studio 写了第一个 Hello World 程序,激动的点运行,出来个黑框一闪就过去了,啥也没看到。
后来偶然了解 PowerShell又变成了一个蓝色的框还会有进度提示红的黑的突兀得很😢。
后来上了大学终...
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<span class="gradient-text">一月 27, 2020</span>
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<a class="timeline-title" target="_self" href="/inspur-internship/">浪潮实习</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶前言
到了期末都说要找个实习的工作,我也跟个风😂。
我是主要是在实习僧上找的(就当免费做个广告吧),我住在美丽的泉城济南,这个地方好就好在,咳咳咳,我大概填了填简历,可能是没啥亮点,投了三四家都不要我😢。
我分析原因大概有以下几条:
我最喜欢最熟练的语言是 Pyt...
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<span class="gradient-text">一月 11, 2020</span>
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<a class="timeline-title" target="_self" href="/anu-comp2310-assignment1/">ANU COMP2310(2019) Assignment 1</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
敬告
本博客仅供参考,请不要抄袭。
¶前言
这是 ANU COMP2310的第一次大作业历时一个月左右也是这个学期我写的最认真的一次作业所以在博客搭建伊始我先把这个记录下来。
¶问题
根据Assignment 1 PDF中的描述大概的意思就是在三维空间中有许...
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<span class="gradient-text">一月 06, 2020</span>
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<a class="timeline-title" target="_self" href="/hello-world/">Hello World</a>
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原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
哈哈哈,这是一个经典的测试页面。
一直以来都想拥有一个自己的博客从WordPress开始到Typecho再到Halo甚至中途尝试用 Django 自己实现了一个(不过样子也太丑了),虽然说一直在捣鼓博客,但是从来都是安装=&gt;部署=&gt;安装插件=&gt;选...
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<a class="timeline-title" target="_self" href="/multiline-equation-in-hexo/">技巧速记如何在Hexo中插入多行公式</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶Q
我在博客中写公式的时候使用双斜线\\来代表换行,效果是这样的,
$$
\begin{bmatrix}
cos\theta &amp; sin\theta \
-sin\theta &amp; cos\theta
\end{bmatrix}
$$
那么如何插入多行公式...
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<a class="timeline-title" target="_self" href="/SVD-for-homogeneous-linear-equation/">想法速记SVD求齐次线性方程组 Ax=0 的解</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
众所周知SVD(奇异值分解)可以用于最小二乘法求齐次线性方程组$A\vec{x}=\vec{0}$的解。我看了很多资料,大多使用数学公式推导,得出结论。但是,曾经线性代数差点挂科的我,总觉得有些蹊跷。想了两天,终于有了一些感性的认知(不一定是对的😂),赶紧记录下来。
...
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<h2 class="timeline-title">六月 2020</h2>
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<span class="gradient-text">六月 04, 2020</span>
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<a class="timeline-title" target="_self" href="/multiline-equation-in-hexo/">技巧速记如何在Hexo中插入多行公式</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶Q
我在博客中写公式的时候使用双斜线\\来代表换行,效果是这样的,
$$
\begin{bmatrix}
cos\theta &amp; sin\theta \
-sin\theta &amp; cos\theta
\end{bmatrix}
$$
那么如何插入多行公式...
</p>
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<span class="gradient-text">六月 04, 2020</span>
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<div class="timeline-content">
<a class="timeline-title" target="_self" href="/SVD-for-homogeneous-linear-equation/">想法速记SVD求齐次线性方程组 Ax=0 的解</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
众所周知SVD(奇异值分解)可以用于最小二乘法求齐次线性方程组$A\vec{x}=\vec{0}$的解。我看了很多资料,大多使用数学公式推导,得出结论。但是,曾经线性代数差点挂科的我,总觉得有些蹊跷。想了两天,终于有了一些感性的认知(不一定是对的😂),赶紧记录下来。
...
</p>
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<a class="timeline-title" target="_self" href="/rattle-change-language/">技巧速记:更改 Rattle 的语言</a>
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原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶Q
如何把Rattle的语言设置成英文从而避免显示XXX。
¶A
在R_HOME/etc/Rprofile.site的最后添加
Sys.setenv(LANG=&quot;en&quot;)
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<a class="timeline-title" target="_self" href="/jenkins-update-solution-inside-gfw/">墙内 Jenkins 插件下载的一种解决方案</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶前言
闲来无聊,在家折腾 DevOps第一步当然是部署一个 Jenkins 啦,然而一顿操作猛如虎,插件一个都下载不下来,总不能给 Jenkins 加个代理吧,所以有了下面这一通折腾。
¶原因
根据经验,国外这些软件下载失败基本上都是因为链接不上服务器,换个源就好了...
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<span class="gradient-text">二月 12, 2020</span>
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<a class="timeline-title" target="_self" href="/write-latex-report-with-markdown/">使用 Markdown 编写基于 Latex 的报告</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶前言
计算机这个专业,有很多报告要做。在山威的时候,报告格式没有什么限制 WordPDF 都可以,那个时候我开始使用 Markdown 作为我的排版工具,因为实在是没有时间经历去研究 Word 的各种高级功能主要是懒。Markdown 十分简单易学在Githu...
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<a class="timeline-title" target="_self" href="/inspur-ip-guard-uninstallation/">卸载浪潮安装的 IP-GUARD 监控软件</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶前言
屋漏更遭连夜雨,船迟又遇打头风。
刚刚处理完 Docker 里面的“病毒”,又发现自己的笔记本被安装了监控软件,身后一阵凉风。
¶发现
事发突然,因为影响我开发,所以也没有来得及截图。
为了使用 WSL2 里面的 Docker我加入了 Windows 预...
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<a class="timeline-title" target="_self" href="/kinsing-virus/">&#34;寄生&#34;于 Docker 的病毒 - Kinsing</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶前言
2020 年开年不顺2019 新型冠状病毒肺炎爆发,从年三十居家隔离到了正月十五,没想到自己的服务器也”感染“上了病毒 - Kinsing(进程的名字,姑且这样称呼)。
¶发现
偶然看了看服务器状态,发现 CPU 占用一直保持在 100%上下,有些蹊跷。
难道...
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<a class="timeline-title" target="_self" href="/windows-package-manager-scoop/">Windows 包管理器 - Scoop</a>
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原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶前言
一直以来作为开发者Windows 相较于 Linux 都缺少两样重要的工具,
好用的 Shell - 现在可以用 PowerShell Core 或者 WSL 暂时代替。
好用的包管理器 - 在开发时 C/Cpp 的库可以用VCPKG而日常使用的软件就可以...
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<a class="timeline-title" target="_self" href="/beauty-is-productivity-windows-terminal/">颜值是第一生产力 - Windows Terminal</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶回顾
记得我最早的时候用 Visual Studio 写了第一个 Hello World 程序,激动的点运行,出来个黑框一闪就过去了,啥也没看到。
后来偶然了解 PowerShell又变成了一个蓝色的框还会有进度提示红的黑的突兀得很😢。
后来上了大学终...
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<span class="gradient-text">一月 27, 2020</span>
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<a class="timeline-title" target="_self" href="/inspur-internship/">浪潮实习</a>
<p>
原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
¶前言
到了期末都说要找个实习的工作,我也跟个风😂。
我是主要是在实习僧上找的(就当免费做个广告吧),我住在美丽的泉城济南,这个地方好就好在,咳咳咳,我大概填了填简历,可能是没啥亮点,投了三四家都不要我😢。
我分析原因大概有以下几条:
我最喜欢最熟练的语言是 Pyt...
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<a class="timeline-title" target="_self" href="/anu-comp2310-assignment1/">ANU COMP2310(2019) Assignment 1</a>
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原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
敬告
本博客仅供参考,请不要抄袭。
¶前言
这是 ANU COMP2310的第一次大作业历时一个月左右也是这个学期我写的最认真的一次作业所以在博客搭建伊始我先把这个记录下来。
¶问题
根据Assignment 1 PDF中的描述大概的意思就是在三维空间中有许...
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原创发表于 DavidZ Blog遵循 CC 4.0 BY-NC-SA 版权协议,转载请附上原文出处链接及本声明。
哈哈哈,这是一个经典的测试页面。
一直以来都想拥有一个自己的博客从WordPress开始到Typecho再到Halo甚至中途尝试用 Django 自己实现了一个(不过样子也太丑了),虽然说一直在捣鼓博客,但是从来都是安装=&gt;部署=&gt;安装插件=&gt;选...
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<a href="/SVD-for-homogeneous-linear-equation/" title="想法速记SVD求齐次线性方程组 Ax&#x3D;0 的解" class="posttitle">想法速记SVD求齐次线性方程组 Ax&#x3D;0 的解</a></h3>
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<p>众所周知SVD(奇异值分解)可以用于最小二乘法求齐次线性方程组$A\vec{x}=\vec{0}$的解。我看了很多资料,大多使用数学公式推导,得出结论。但是,曾经线性代数差点挂科的我,总觉得有些蹊跷。想了两天,终于有了一些感性的认知(不一定是对的😂),赶紧记录下来。</p>
<p>按照我的理解,一个矩阵的实际意义是对应一个线性变换,这个变换可以理解为瞬间运动。例如,一个旋转矩阵,</p>
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@ -140,16 +140,16 @@
<a href="/categories/Workaround"><b>
</b>WORKAROUND<b></b></a>
五月 17, 2020
六月 04, 2020
</p>
<h3 class="post-title animated fadeInDown">
<a href="/rattle-change-language/" title="技巧速记:更改 Rattle 的语言" class="posttitle">技巧速记:更改 Rattle 的语言</a></h3>
<a href="/multiline-equation-in-hexo/" title="技巧速记如何在Hexo中插入多行公式" class="posttitle">技巧速记如何在Hexo中插入多行公式</a></h3>
<p class="post-count animated fadeInDown">
<span>
<b class="iconfont icon-text2"></b> <i>文章字数</i>
528
909
</span>
@ -162,7 +162,7 @@
</p>
<ul class="animated fadeInDown post-tags-list" itemprop="keywords"><li class="animated fadeInDown post-tags-list-item"><a class="animated fadeInDown post-tags-list-link" href="/tags/R/" rel="tag">R</a></li></ul>
<ul class="animated fadeInDown post-tags-list" itemprop="keywords"><li class="animated fadeInDown post-tags-list-item"><a class="animated fadeInDown post-tags-list-link" href="/tags/Markdown/" rel="tag">Markdown</a></li></ul>
<div class="md-content animated fadeIn">
@ -170,14 +170,19 @@
<p>原创发表于 <a href="https://blog.davidz.cn">DavidZ Blog</a>,遵循 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode" target="_blank" rel="noopener">CC 4.0 BY-NC-SA</a> 版权协议,转载请附上原文出处链接及本声明。</p>
</blockquote>
<p>如何把Rattle的语言设置成英文从而避免显示<code>XXX</code></p>
<p><code>R_HOME/etc/Rprofile.site</code>的最后添加,</p>
<pre><code class="language-R">Sys.setenv(LANG=&quot;en&quot;)
</code></pre>
<p>我在博客中写公式的时候使用双斜线<code>\\</code>来代表换行,效果是这样的,</p>
<p>$$<br>
\begin{bmatrix}<br>
cos\theta &amp; sin\theta \<br>
-sin\theta &amp; cos\theta<br>
\end{bmatrix}<br>
$$</p>
<p>那么如何插入多行公式呢?</p>
<p>根据<a href="https://github.com/gcushen/hugo-academic/issues/291#issuecomment-334746889" target="_blank" rel="noopener">Multiple lines Mathjax formulas flattened to one line</a>,应该插入 <em>六个</em> 斜线来表示换行应该是由于Markdown的渲染机制导致<code>\\</code>被反义。</p>
<p>$$...</p>
<span class="read-more"><a href="/rattle-change-language/" title="查看全文" class="posttitle">查看全文</a>
<span class="read-more"><a href="/multiline-equation-in-hexo/" title="查看全文" class="posttitle">查看全文</a>
<b class="iconfont icon-arrow-right- gradient-text"></b></span>
</div>
</div>
@ -198,6 +203,61 @@
<div id="primary">
<div class="post" id="post">
<div class="post-cover animated fadeIn" style="
background-image:
radial-gradient(ellipse closest-side, rgba(0, 0, 0, 0.65), #100e17),
url(//davidz.cn/static/blog/img/workaround.jpg);">
</div>
<div class="else">
<p class="animated fadeInDown">
<a href="/categories/Workaround">
<b></b>WORKAROUND<b></b>
</a>
五月 17, 2020
</p>
<h3 class="post-title animated fadeInDown"><a href="/rattle-change-language/" title="技巧速记:更改 Rattle 的语言" class="posttitle">技巧速记:更改 Rattle 的语言</a></h3>
<p class="post-count animated fadeInDown">
<span>
<b class="iconfont icon-text2"></b> <i>文章字数</i>
528
</span>
<span>
<b class="iconfont icon-timer__s"></b> <i>阅读约需</i>
1 mins.
</span>
</p>
<ul class="animated fadeInDown post-tags-list" itemprop="keywords"><li class="animated fadeInDown post-tags-list-item"><a class="animated fadeInDown post-tags-list-link" href="/tags/R/" rel="tag">R</a></li></ul>
<div class="md-content animated fadeIn">
<blockquote>
<p>原创发表于 <a href="https://blog.davidz.cn">DavidZ Blog</a>,遵循 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode" target="_blank" rel="noopener">CC 4.0 BY-NC-SA</a> 版权协议,转载请附上原文出处链接及本声明。</p>
</blockquote>
<p>如何把Rattle的语言设置成英文从而避免显示<code>XXX</code></p>
<p><code>R_HOME/etc/Rprofile.site</code>的最后添加,</p>
<pre><code class="language-R">Sys.setenv(LANG=&quot;en&quot;)
</code></pre>
<span class="read-more"><a href="/rattle-change-language/" title="查看全文" class="posttitle">查看全文</a> <b class="iconfont icon-arrow-right- gradient-text"></b></span>
</div>
</div>
</div>
</div>
</div>

View File

@ -63,7 +63,7 @@
<div class="set">
<div class="category-mask"></div>
<h1>分类</h1>
<ul class="category-list"><li class="category-list-item"><a class="category-list-link" href="/categories/Productivity/">Productivity</a><span class="category-list-count">3</span></li><li class="category-list-item"><a class="category-list-link" href="/categories/Internship/">Internship</a><span class="category-list-count">2</span></li><li class="category-list-item"><a class="category-list-link" href="/categories/DevOps/">DevOps</a><span class="category-list-count">2</span></li><li class="category-list-item"><a class="category-list-link" href="/categories/Personal/">Personal</a><span class="category-list-count">1</span></li><li class="category-list-item"><a class="category-list-link" href="/categories/Study/">Study</a><span class="category-list-count">1</span></li><li class="category-list-item"><a class="category-list-link" href="/categories/Workaround/">Workaround</a><span class="category-list-count">1</span></li></ul>
<ul class="category-list"><li class="category-list-item"><a class="category-list-link" href="/categories/Productivity/">Productivity</a><span class="category-list-count">3</span></li><li class="category-list-item"><a class="category-list-link" href="/categories/Internship/">Internship</a><span class="category-list-count">2</span></li><li class="category-list-item"><a class="category-list-link" href="/categories/DevOps/">DevOps</a><span class="category-list-count">2</span></li><li class="category-list-item"><a class="category-list-link" href="/categories/Workaround/">Workaround</a><span class="category-list-count">2</span></li><li class="category-list-item"><a class="category-list-link" href="/categories/Personal/">Personal</a><span class="category-list-count">1</span></li><li class="category-list-item"><a class="category-list-link" href="/categories/Study/">Study</a><span class="category-list-count">1</span></li><li class="category-list-item"><a class="category-list-link" href="/categories/Idea/">Idea</a><span class="category-list-count">1</span></li></ul>
</div>

View File

@ -197,8 +197,8 @@
</dl>
</div>
<ul>
<li><a href="/">10 <p>文章</p></a></li>
<li><a href="/categories">6 <p>分类</p></a></li>
<li><a href="/">12 <p>文章</p></a></li>
<li><a href="/categories">7 <p>分类</p></a></li>
<li><a href="/tags">12 <p>标签</p></a></li>
</ul>
</div>

View File

@ -140,16 +140,16 @@
<a href="/categories/Workaround"><b>
</b>WORKAROUND<b></b></a>
五月 17, 2020
六月 04, 2020
</p>
<h3 class="post-title animated fadeInDown">
<a href="/rattle-change-language/" title="技巧速记:更改 Rattle 的语言" class="posttitle">技巧速记:更改 Rattle 的语言</a></h3>
<a href="/multiline-equation-in-hexo/" title="技巧速记如何在Hexo中插入多行公式" class="posttitle">技巧速记如何在Hexo中插入多行公式</a></h3>
<p class="post-count animated fadeInDown">
<span>
<b class="iconfont icon-text2"></b> <i>文章字数</i>
528
909
</span>
@ -162,7 +162,7 @@
</p>
<ul class="animated fadeInDown post-tags-list" itemprop="keywords"><li class="animated fadeInDown post-tags-list-item"><a class="animated fadeInDown post-tags-list-link" href="/tags/R/" rel="tag">R</a></li></ul>
<ul class="animated fadeInDown post-tags-list" itemprop="keywords"><li class="animated fadeInDown post-tags-list-item"><a class="animated fadeInDown post-tags-list-link" href="/tags/Markdown/" rel="tag">Markdown</a></li></ul>
<div class="md-content animated fadeIn">
@ -170,14 +170,19 @@
<p>原创发表于 <a href="https://blog.davidz.cn">DavidZ Blog</a>,遵循 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode" target="_blank" rel="noopener">CC 4.0 BY-NC-SA</a> 版权协议,转载请附上原文出处链接及本声明。</p>
</blockquote>
<p>如何把Rattle的语言设置成英文从而避免显示<code>XXX</code></p>
<p><code>R_HOME/etc/Rprofile.site</code>的最后添加,</p>
<pre><code class="language-R">Sys.setenv(LANG=&quot;en&quot;)
</code></pre>
<p>我在博客中写公式的时候使用双斜线<code>\\</code>来代表换行,效果是这样的,</p>
<p>$$<br>
\begin{bmatrix}<br>
cos\theta &amp; sin\theta \<br>
-sin\theta &amp; cos\theta<br>
\end{bmatrix}<br>
$$</p>
<p>那么如何插入多行公式呢?</p>
<p>根据<a href="https://github.com/gcushen/hugo-academic/issues/291#issuecomment-334746889" target="_blank" rel="noopener">Multiple lines Mathjax formulas flattened to one line</a>,应该插入 <em>六个</em> 斜线来表示换行应该是由于Markdown的渲染机制导致<code>\\</code>被反义。</p>
<p>$$...</p>
<span class="read-more"><a href="/rattle-change-language/" title="查看全文" class="posttitle">查看全文</a>
<span class="read-more"><a href="/multiline-equation-in-hexo/" title="查看全文" class="posttitle">查看全文</a>
<b class="iconfont icon-arrow-right- gradient-text"></b></span>
</div>
</div>
@ -198,6 +203,111 @@
<div id="primary">
<div class="post" id="post">
<div class="post-cover animated fadeIn" style="
background-image:
radial-gradient(ellipse closest-side, rgba(0, 0, 0, 0.65), #100e17),
url(//davidz.cn/static/blog/img/workaround.jpg);">
</div>
<div class="else">
<p class="animated fadeInDown">
<a href="/categories/Idea">
<b></b>IDEA<b></b>
</a>
六月 04, 2020
</p>
<h3 class="post-title animated fadeInDown"><a href="/SVD-for-homogeneous-linear-equation/" title="想法速记SVD求齐次线性方程组 Ax&#x3D;0 的解" class="posttitle">想法速记SVD求齐次线性方程组 Ax&#x3D;0 的解</a></h3>
<p class="post-count animated fadeInDown">
<span>
<b class="iconfont icon-text2"></b> <i>文章字数</i>
2.9k
</span>
<span>
<b class="iconfont icon-timer__s"></b> <i>阅读约需</i>
3 mins.
</span>
</p>
<div class="md-content animated fadeIn">
<blockquote>
<p>原创发表于 <a href="https://blog.davidz.cn">DavidZ Blog</a>,遵循 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode" target="_blank" rel="noopener">CC 4.0 BY-NC-SA</a> 版权协议,转载请附上原文出处链接及本声明。</p>
</blockquote>
<p>众所周知SVD(奇异值分解)可以用于最小二乘法求齐次线性方程组$A\vec{x}=\vec{0}$的解。我看了很多资料,大多使用数学公式推导,得出结论。但是,曾经线性代数差点挂科的我,总觉得有些蹊跷。想了两天,终于有了一些感性的认知(不一定是对的😂),赶紧记录下来。</p>
<p>按照我的理解,一个矩阵的实际意义是对应一个线性变换,这个变换可以理解为瞬间运动。例如,一个旋转矩阵,</p>
<p>$$...</p>
<span class="read-more"><a href="/SVD-for-homogeneous-linear-equation/" title="查看全文" class="posttitle">查看全文</a> <b class="iconfont icon-arrow-right- gradient-text"></b></span>
</div>
</div>
</div>
<div class="post" id="post">
<div class="post-cover animated fadeIn" style="
background-image:
radial-gradient(ellipse closest-side, rgba(0, 0, 0, 0.65), #100e17),
url(//davidz.cn/static/blog/img/workaround.jpg);">
</div>
<div class="else">
<p class="animated fadeInDown">
<a href="/categories/Workaround">
<b></b>WORKAROUND<b></b>
</a>
五月 17, 2020
</p>
<h3 class="post-title animated fadeInDown"><a href="/rattle-change-language/" title="技巧速记:更改 Rattle 的语言" class="posttitle">技巧速记:更改 Rattle 的语言</a></h3>
<p class="post-count animated fadeInDown">
<span>
<b class="iconfont icon-text2"></b> <i>文章字数</i>
528
</span>
<span>
<b class="iconfont icon-timer__s"></b> <i>阅读约需</i>
1 mins.
</span>
</p>
<ul class="animated fadeInDown post-tags-list" itemprop="keywords"><li class="animated fadeInDown post-tags-list-item"><a class="animated fadeInDown post-tags-list-link" href="/tags/R/" rel="tag">R</a></li></ul>
<div class="md-content animated fadeIn">
<blockquote>
<p>原创发表于 <a href="https://blog.davidz.cn">DavidZ Blog</a>,遵循 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode" target="_blank" rel="noopener">CC 4.0 BY-NC-SA</a> 版权协议,转载请附上原文出处链接及本声明。</p>
</blockquote>
<p>如何把Rattle的语言设置成英文从而避免显示<code>XXX</code></p>
<p><code>R_HOME/etc/Rprofile.site</code>的最后添加,</p>
<pre><code class="language-R">Sys.setenv(LANG=&quot;en&quot;)
</code></pre>
<span class="read-more"><a href="/rattle-change-language/" title="查看全文" class="posttitle">查看全文</a> <b class="iconfont icon-arrow-right- gradient-text"></b></span>
</div>
</div>
</div>
<div class="post" id="post">
<div class="post-cover animated fadeIn" style="
background-image:
@ -584,115 +694,10 @@
</div>
<div class="post" id="post">
<div class="post-cover animated fadeIn" style="
background-image:
radial-gradient(ellipse closest-side, rgba(0, 0, 0, 0.65), #100e17),
url(//davidz.cn/static/blog/2020-01-11-anu-comp2310-assignment1/cover.png);">
</div>
<div class="else">
<p class="animated fadeInDown">
<a href="/categories/Study">
<b></b>STUDY<b></b>
</a>
一月 11, 2020
</p>
<h3 class="post-title animated fadeInDown"><a href="/anu-comp2310-assignment1/" title="ANU COMP2310(2019) Assignment 1" class="posttitle">ANU COMP2310(2019) Assignment 1</a></h3>
<p class="post-count animated fadeInDown">
<span>
<b class="iconfont icon-text2"></b> <i>文章字数</i>
17k
</span>
<span>
<b class="iconfont icon-timer__s"></b> <i>阅读约需</i>
16 mins.
</span>
</p>
<ul class="animated fadeInDown post-tags-list" itemprop="keywords"><li class="animated fadeInDown post-tags-list-item"><a class="animated fadeInDown post-tags-list-link" href="/tags/ANU/" rel="tag">ANU</a></li><li class="animated fadeInDown post-tags-list-item"><a class="animated fadeInDown post-tags-list-link" href="/tags/Ada/" rel="tag">Ada</a></li></ul>
<div class="md-content animated fadeIn">
<blockquote>
<p>原创发表于 <a href="https://blog.davidz.cn">DavidZ Blog</a>,遵循 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode" target="_blank" rel="noopener">CC 4.0 BY-NC-SA</a> 版权协议,转载请附上原文出处链接及本声明。</p>
</blockquote>
<blockquote>
<p><strong>敬告</strong></p>
<div style="color: red">本博客仅供参考,请不要抄袭。</div>
</blockquote>
<p>这是 ANU <a href="http://courses.cecs.anu.edu.au/courses/COMP2310/" target="_blank" rel="noopener">COMP2310</a>的第一次大作业,历时一个月左右,也是这个学期我写的最认真的一次作业,所以在博客搭建伊始,我先把这个记录下来。</p>
<p>根据<a href="//davidz.cn/static/blog/2020-01-11-anu-comp2310-assignment1/assignment-1.pdf" target="_blank" rel="noopener">Assignment 1 PDF</a>中的描述,大概的意思就是在三维空间中有许多的<code></code>,具有速度和加速度(都是三维向量),而且不管是否加速,都会消耗一定的能量,当然加速也会加快能量的消耗。然后就是有...</p>
<span class="read-more"><a href="/anu-comp2310-assignment1/" title="查看全文" class="posttitle">查看全文</a> <b class="iconfont icon-arrow-right- gradient-text"></b></span>
</div>
</div>
</div>
<div class="post" id="post">
<div class="post-cover animated fadeIn" style="
background-image:
radial-gradient(ellipse closest-side, rgba(0, 0, 0, 0.65), #100e17),
url(//davidz.cn/static/blog/2020-01-06-hello-world/cover.jpg);">
</div>
<div class="else">
<p class="animated fadeInDown">
<a href="/categories/Personal">
<b></b>PERSONAL<b></b>
</a>
一月 06, 2020
</p>
<h3 class="post-title animated fadeInDown"><a href="/hello-world/" title="Hello World" class="posttitle">Hello World</a></h3>
<p class="post-count animated fadeInDown">
<span>
<b class="iconfont icon-text2"></b> <i>文章字数</i>
1.4k
</span>
<span>
<b class="iconfont icon-timer__s"></b> <i>阅读约需</i>
1 mins.
</span>
</p>
<ul class="animated fadeInDown post-tags-list" itemprop="keywords"><li class="animated fadeInDown post-tags-list-item"><a class="animated fadeInDown post-tags-list-link" href="/tags/Others/" rel="tag">Others</a></li></ul>
<div class="md-content animated fadeIn">
<blockquote>
<p>原创发表于 <a href="https://blog.davidz.cn">DavidZ Blog</a>,遵循 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode" target="_blank" rel="noopener">CC 4.0 BY-NC-SA</a> 版权协议,转载请附上原文出处链接及本声明。</p>
</blockquote>
<p>哈哈哈,这是一个经典的测试页面。</p>
<p>一直以来都想拥有一个自己的博客,从<a href="https://wordpress.org/" target="_blank" rel="noopener">WordPress</a>开始,到<a href="http://typecho.org/" target="_blank" rel="noopener">Typecho</a>,再到<a href="https://halo.run/" target="_blank" rel="noopener">Halo</a>,甚至中途尝试用 Django 自己实现了一个(不过样子也太丑了),虽然说一直在捣鼓博客,但是从来都是安装=&gt;部署=&gt;安装插件=&gt;选择主题=&gt;发布第一篇文章,然后就没有然后了。</p>
<p>今天我突然看到<a href="https://hexo.io/" target="_blank" rel="noopener">Hexo</a><a href="https://github.com/TriDiamond/hexo-theme-obsidian" target="_blank" rel="noopener">Obsidian</a>主题,我觉得时...</p>
<span class="read-more"><a href="/hello-world/" title="查看全文" class="posttitle">查看全文</a> <b class="iconfont icon-arrow-right- gradient-text"></b></span>
</div>
</div>
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我在博客中写公式的时候使用双斜线\\来代表换行,效果是这样的,
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六月 04, 2020
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<h3 class="post-title animated fadeInDown"><a href="/multiline-equation-in-hexo/" title="技巧速记如何在Hexo中插入多行公式" class="">技巧速记如何在Hexo中插入多行公式</a>
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<p>原创发表于 <a href="https://blog.davidz.cn">DavidZ Blog</a>,遵循 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode" target="_blank" rel="noopener">CC 4.0 BY-NC-SA</a> 版权协议,转载请附上原文出处链接及本声明。</p>
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<h2 id="Q"><a class="header-anchor" href="#Q"></a>Q</h2>
<p>我在博客中写公式的时候使用双斜线<code>\\</code>来代表换行,效果是这样的,</p>
<p>$$<br>
\begin{bmatrix}<br>
cos\theta &amp; sin\theta \<br>
-sin\theta &amp; cos\theta<br>
\end{bmatrix}<br>
$$</p>
<p>那么如何插入多行公式呢?</p>
<h2 id="A"><a class="header-anchor" href="#A"></a>A</h2>
<p>根据<a href="https://github.com/gcushen/hugo-academic/issues/291#issuecomment-334746889" target="_blank" rel="noopener">Multiple lines Mathjax formulas flattened to one line</a>,应该插入 <em>六个</em> 斜线来表示换行应该是由于Markdown的渲染机制导致<code>\\</code>被反义。</p>
<p>$$<br>
\begin{bmatrix}<br>
cos\theta &amp; sin\theta \\\<br>
-sin\theta &amp; cos\theta<br>
\end{bmatrix}<br>
$$</p>
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<a href="/anu-comp2310-assignment1/" title="ANU COMP2310(2019) Assignment 1" class="posttitle">ANU COMP2310(2019) Assignment 1</a></h3>
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<span>
<b class="iconfont icon-text2"></b> <i>文章字数</i>
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<ul class="animated fadeInDown post-tags-list" itemprop="keywords"><li class="animated fadeInDown post-tags-list-item"><a class="animated fadeInDown post-tags-list-link" href="/tags/ANU/" rel="tag">ANU</a></li><li class="animated fadeInDown post-tags-list-item"><a class="animated fadeInDown post-tags-list-link" href="/tags/Ada/" rel="tag">Ada</a></li></ul>
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<p>原创发表于 <a href="https://blog.davidz.cn">DavidZ Blog</a>,遵循 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode" target="_blank" rel="noopener">CC 4.0 BY-NC-SA</a> 版权协议,转载请附上原文出处链接及本声明。</p>
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<blockquote>
<p><strong>敬告</strong></p>
<div style="color: red">本博客仅供参考,请不要抄袭。</div>
</blockquote>
<p>这是 ANU <a href="http://courses.cecs.anu.edu.au/courses/COMP2310/" target="_blank" rel="noopener">COMP2310</a>的第一次大作业,历时一个月左右,也是这个学期我写的最认真的一次作业,所以在博客搭建伊始,我先把这个记录下来。</p>
<p>根据<a href="//davidz.cn/static/blog/2020-01-11-anu-comp2310-assignment1/assignment-1.pdf" target="_blank" rel="noopener">Assignment 1 PDF</a>中的描述,大概的意思就是在三维空间中有许多的<code></code>,具有速度和加速度(都是三维向量),而且不管是否加速,都会消耗一定的能量,当然加速也会加快能量的消耗。然后就是有一个或多个<code>能量球</code>,当然也是在运动中的,同样具有速度和加速度。当<code></code><code>能量球</code>靠近的时候,<code></code>能够获取到<code>能量...</code></p>
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<h3 class="post-title animated fadeInDown"><a href="/anu-comp2310-assignment1/" title="ANU COMP2310(2019) Assignment 1" class="posttitle">ANU COMP2310(2019) Assignment 1</a></h3>
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<span>
<b class="iconfont icon-text2"></b> <i>文章字数</i>
17k
</span>
<span>
<b class="iconfont icon-timer__s"></b> <i>阅读约需</i>
16 mins.
</span>
</p>
<ul class="animated fadeInDown post-tags-list" itemprop="keywords"><li class="animated fadeInDown post-tags-list-item"><a class="animated fadeInDown post-tags-list-link" href="/tags/ANU/" rel="tag">ANU</a></li><li class="animated fadeInDown post-tags-list-item"><a class="animated fadeInDown post-tags-list-link" href="/tags/Ada/" rel="tag">Ada</a></li></ul>
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<p>原创发表于 <a href="https://blog.davidz.cn">DavidZ Blog</a>,遵循 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode" target="_blank" rel="noopener">CC 4.0 BY-NC-SA</a> 版权协议,转载请附上原文出处链接及本声明。</p>
</blockquote>
<blockquote>
<p><strong>敬告</strong></p>
<div style="color: red">本博客仅供参考,请不要抄袭。</div>
</blockquote>
<p>这是 ANU <a href="http://courses.cecs.anu.edu.au/courses/COMP2310/" target="_blank" rel="noopener">COMP2310</a>的第一次大作业,历时一个月左右,也是这个学期我写的最认真的一次作业,所以在博客搭建伊始,我先把这个记录下来。</p>
<p>根据<a href="//davidz.cn/static/blog/2020-01-11-anu-comp2310-assignment1/assignment-1.pdf" target="_blank" rel="noopener">Assignment 1 PDF</a>中的描述,大概的意思就是在三维空间中有许多的<code></code>,具有速度和加速度(都是三维向量),而且不管是否加速,都会消耗一定的能量,当然加速也会加快能量的消耗。然后就是有...</p>
<span class="read-more"><a href="/anu-comp2310-assignment1/" title="查看全文" class="posttitle">查看全文</a> <b class="iconfont icon-arrow-right- gradient-text"></b></span>
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一月 06, 2020
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1.4k
</span>
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<b class="iconfont icon-timer__s"></b> <i>阅读约需</i>
1 mins.
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<ul class="animated fadeInDown post-tags-list" itemprop="keywords"><li class="animated fadeInDown post-tags-list-item"><a class="animated fadeInDown post-tags-list-link" href="/tags/Others/" rel="tag">Others</a></li></ul>
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<p>原创发表于 <a href="https://blog.davidz.cn">DavidZ Blog</a>,遵循 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode" target="_blank" rel="noopener">CC 4.0 BY-NC-SA</a> 版权协议,转载请附上原文出处链接及本声明。</p>
</blockquote>
<p>哈哈哈,这是一个经典的测试页面。</p>
<p>一直以来都想拥有一个自己的博客,从<a href="https://wordpress.org/" target="_blank" rel="noopener">WordPress</a>开始,到<a href="http://typecho.org/" target="_blank" rel="noopener">Typecho</a>,再到<a href="https://halo.run/" target="_blank" rel="noopener">Halo</a>,甚至中途尝试用 Django 自己实现了一个(不过样子也太丑了),虽然说一直在捣鼓博客,但是从来都是安装=&gt;部署=&gt;安装插件=&gt;选择主题=&gt;发布第一篇文章,然后就没有然后了。</p>
<p>今天我突然看到<a href="https://hexo.io/" target="_blank" rel="noopener">Hexo</a><a href="https://github.com/TriDiamond/hexo-theme-obsidian" target="_blank" rel="noopener">Obsidian</a>主题,我觉得时...</p>
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@ -3,6 +3,50 @@
<entry>
<title>技巧速记如何在Hexo中插入多行公式</title>
<link href="/multiline-equation-in-hexo/"/>
<url>/multiline-equation-in-hexo/</url>
<content type="html"><![CDATA[<blockquote><p>原创发表于 <a href="https://blog.davidz.cn">DavidZ Blog</a>,遵循 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode" target="_blank" rel="noopener">CC 4.0 BY-NC-SA</a> 版权协议,转载请附上原文出处链接及本声明。</p></blockquote><h2 id="Q"><a class="header-anchor" href="#Q">¶</a>Q</h2><p>我在博客中写公式的时候使用双斜线<code>\\</code>来代表换行,效果是这样的,</p><p>$$<br>\begin{bmatrix}<br>cos\theta &amp; sin\theta \<br>-sin\theta &amp; cos\theta<br>\end{bmatrix}<br>$$</p><p>那么如何插入多行公式呢?</p><h2 id="A"><a class="header-anchor" href="#A">¶</a>A</h2><p>根据<a href="https://github.com/gcushen/hugo-academic/issues/291#issuecomment-334746889" target="_blank" rel="noopener">Multiple lines Mathjax formulas flattened to one line</a>,应该插入 <em>六个</em> 斜线来表示换行应该是由于Markdown的渲染机制导致<code>\\</code>被反义。</p><p>$$<br>\begin{bmatrix}<br>cos\theta &amp; sin\theta \\\<br>-sin\theta &amp; cos\theta<br>\end{bmatrix}<br>$$</p>]]></content>
<categories>
<category> Workaround </category>
</categories>
<tags>
<tag> Markdown </tag>
</tags>
</entry>
<entry>
<title>想法速记SVD求齐次线性方程组 Ax=0 的解</title>
<link href="/SVD-for-homogeneous-linear-equation/"/>
<url>/SVD-for-homogeneous-linear-equation/</url>
<content type="html"><![CDATA[<blockquote><p>原创发表于 <a href="https://blog.davidz.cn">DavidZ Blog</a>,遵循 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode" target="_blank" rel="noopener">CC 4.0 BY-NC-SA</a> 版权协议,转载请附上原文出处链接及本声明。</p></blockquote><p>众所周知SVD(奇异值分解)可以用于最小二乘法求齐次线性方程组$A\vec{x}=\vec{0}$的解。我看了很多资料,大多使用数学公式推导,得出结论。但是,曾经线性代数差点挂科的我,总觉得有些蹊跷。想了两天,终于有了一些感性的认知(不一定是对的😂),赶紧记录下来。</p><h2 id="矩阵有何意义"><a class="header-anchor" href="#矩阵有何意义">¶</a>矩阵有何意义</h2><p>按照我的理解,一个矩阵的实际意义是对应一个线性变换,这个变换可以理解为瞬间运动。例如,一个旋转矩阵,</p><p>$$<br>A=\begin{bmatrix}<br>cos\theta &amp; sin\theta \\\<br>-sin\theta &amp; cos\theta<br>\end{bmatrix}<br>$$</p><p>它的意思是,把一个向量顺时针旋转$\theta$。也就是说,给定一个$\vec{v_1}=[-1, 1]^T$, 那么变换的结果就是$\vec{v_2}=A\vec{v_1}=[1, 1]^T$.</p><p>除了旋转,矩阵还可以表示包括缩放,投影在内的所有<strong>线性变换</strong>。</p><p>十分推荐大家去看 3Blue1Brown 的 <em>线性代数的本质</em>B 站有<a href="https://www.bilibili.com/video/BV1ys411472E" target="_blank" rel="noopener">官方翻译版</a>,它完全颠覆了我对线性代数的认知。</p><h2 id="SVD到底干了什么"><a class="header-anchor" href="#SVD到底干了什么">¶</a>SVD到底干了什么</h2><p>$$<br>A = U\Sigma V^T<br>$$</p><p>SVD把矩阵$A(m\times n)$分解成了,</p><ul><li>$U(m\times m)$: 左奇异矩阵</li><li>$\Sigma(m\times n)$: 奇异值矩阵</li><li>$V(n\times n)$: 右奇异矩阵</li></ul><p>重点来了SVD的意思就是把一个本来由矩阵$A$表示的变换,转化成一个由$U,\Sigma,V$表示的变换。这个变换是,把一个向量,从以$V$为基向量的空间线性变换到成以$U$为基向量的空间中去($\Sigma$的意义可以说是缩放,待证实,暂时忽略)。这样我们就可以更深入的理解这个变换了。</p><p>例如旋转$\vec{v_1}$90度得到$\vec{v_2}$</p><p><img src="//davidz.cn/static/blog/2020-06-04-SVD-for-homogeneous-linear-equation/rotate90.svg" alt="rotate 90"></p><p>其中,</p><p>$$<br>U=\begin{bmatrix}<br>0 &amp; 1 \\\<br>1 &amp; 0<br>\end{bmatrix}<br>$$</p><p>$$<br>\Sigma=\begin{bmatrix}<br>1 &amp; 1<br>\end{bmatrix}<br>$$</p><p>$$<br>V=\begin{bmatrix}<br>-1 &amp; 0 \\\<br>0 &amp; 1<br>\end{bmatrix}<br>$$</p><p>也就是说,矩阵$A$可以被理解为,我们把一个向量$\vec{v_1}$,从以$\vec{e_1}=[-1, 0]^T,\vec{e_2}=[0, 1]^T$为基向量的空间线性变换到了以$\vec{e_1}=[0, 1]^T,\vec{e_2}=[1, 0]^T$为基向量的空间中。这个变换表现为旋转了90度。</p><h2 id="所以如何理解"><a class="header-anchor" href="#所以如何理解">¶</a>所以如何理解</h2><p>说回求齐次线性方程组$Ax=0$的解来。</p><p>按照矩阵的意义,我们这里要求的是,已知一个线性变换$A$,给定一个$\vec{x}$,使得线性变换后的结果为$\vec{0}$。</p><p>此时非常重要的是,如果$x=\vec{0}$,那一定成立,但是我们想找一个非平凡的解。</p><p>我们暂时不关心这个解是否存在也就是说如果不存在我们就找个最接近的最小二乘法思想我们直接使用SVD分解矩阵$A$,得到对应的$U,\Sigma,V$。</p><p>按照SVD的作用我们现在可以说矩阵$A$这个线性变换,把一个$\vec{x}$,从以$V$为基向量的空间线性变换到了以$U$为基向量的空间中,而我们想找,在以$V$为基向量的空间中,哪个向量会在投影后趋近于或者等于$\vec{0}$。更重要的是,我们只在乎这个向量的方向,而不在乎他的大小,因为它等于$\vec{0}$是个平凡解,这就像最小二乘法中,我们规定$|\vec{x}|=1$。</p><p>这时,答案就开始变得清晰了,因为我们想找的$\vec{x}$,应该就是$V$这组基向量中特异值$\sigma$最小的那一个$\vec{e_{min}}$,也就是说$\vec{x}=\vec{e_{min}}$。此时有两种情况,</p><ol><li>$\sigma=0$ 那么$\vec{x}$投影后的就是$\vec{0}$。</li><li>$\sigma\neq0$,那么$\vec{x}$投影后是使$A\vec{x}$最小的解。因为如果$\vec{x}\neq\vec{e_{min}}$,也就是说它偏离了$\vec{e_{min}}$,那么它一定由$\vec{e_{min}}$和另一个基向量线性组合,而无论怎么组合,$\sigma_{combine}\geq\sigma_{min}$。</li></ol><p>因此,我们求解$A\vec{x}=0$的过程就是,</p><ol><li>$U,\Sigma,V^T=SVD(A)$</li><li>$\vec{x}=V[:, -1]$</li></ol>]]></content>
<categories>
<category> Idea </category>
</categories>
</entry>
<entry>
<title>技巧速记:更改 Rattle 的语言</title>
<link href="/rattle-change-language/"/>

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二月 12, 2020
六月 04, 2020
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<h3 class="post-title animated fadeInDown">
<a href="/write-latex-report-with-markdown/" title="使用 Markdown 编写基于 Latex 的报告" class="posttitle">使用 Markdown 编写基于 Latex 的报告</a></h3>
<a href="/multiline-equation-in-hexo/" title="技巧速记如何在Hexo中插入多行公式" class="posttitle">技巧速记如何在Hexo中插入多行公式</a></h3>
<p class="post-count animated fadeInDown">
<span>
<b class="iconfont icon-text2"></b> <i>文章字数</i>
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<ul class="animated fadeInDown post-tags-list" itemprop="keywords"><li class="animated fadeInDown post-tags-list-item"><a class="animated fadeInDown post-tags-list-link" href="/tags/Markdown/" rel="tag">Markdown</a></li></ul>
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@ -170,10 +170,19 @@
<p>原创发表于 <a href="https://blog.davidz.cn">DavidZ Blog</a>,遵循 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode" target="_blank" rel="noopener">CC 4.0 BY-NC-SA</a> 版权协议,转载请附上原文出处链接及本声明。</p>
</blockquote>
<p>计算机这个专业,有很多报告要做。在山威的时候,报告格式没有什么限制 WordPDF 都可以,那个时候我开始使用 Markdown 作为我的排版工具,因为实在是没有时间经历去研究 Word 的各种高级功能(<s>主要是懒</s>。Markdown 十分简单,易学,在<a href="https://github.com" target="_blank" rel="noopener">Github</a>等计算机专业相关平台使用也非常广泛,还可以通过各种模板快速生成<strong>好看</strong><strong>美观</strong><strong>专业</strong>的文档。</p>
<p>后来到了澳国立,老师教授们开始极力鼓吹 Latex 和 PDF基本上算是软性要求我们使用 Latex 编写,还规定了衬线...</p>
<p>我在博客中写公式的时候使用双斜线<code>\\</code>来代表换行,效果是这样的,</p>
<p>$$<br>
\begin{bmatrix}<br>
cos\theta &amp; sin\theta \<br>
-sin\theta &amp; cos\theta<br>
\end{bmatrix}<br>
$$</p>
<p>那么如何插入多行公式呢?</p>
<p>根据<a href="https://github.com/gcushen/hugo-academic/issues/291#issuecomment-334746889" target="_blank" rel="noopener">Multiple lines Mathjax formulas flattened to one line</a>,应该插入 <em>六个</em> 斜线来表示换行应该是由于Markdown的渲染机制导致<code>\\</code>被反义。</p>
<p>$$...</p>
<span class="read-more"><a href="/write-latex-report-with-markdown/" title="查看全文" class="posttitle">查看全文</a>
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<p class="animated fadeInDown">
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<b></b>PRODUCTIVITY<b></b>
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二月 12, 2020
</p>
<h3 class="post-title animated fadeInDown"><a href="/write-latex-report-with-markdown/" title="使用 Markdown 编写基于 Latex 的报告" class="posttitle">使用 Markdown 编写基于 Latex 的报告</a></h3>
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<ul class="animated fadeInDown post-tags-list" itemprop="keywords"><li class="animated fadeInDown post-tags-list-item"><a class="animated fadeInDown post-tags-list-link" href="/tags/Markdown/" rel="tag">Markdown</a></li><li class="animated fadeInDown post-tags-list-item"><a class="animated fadeInDown post-tags-list-link" href="/tags/Windows/" rel="tag">Windows</a></li></ul>
<div class="md-content animated fadeIn">
<blockquote>
<p>原创发表于 <a href="https://blog.davidz.cn">DavidZ Blog</a>,遵循 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode" target="_blank" rel="noopener">CC 4.0 BY-NC-SA</a> 版权协议,转载请附上原文出处链接及本声明。</p>
</blockquote>
<p>计算机这个专业,有很多报告要做。在山威的时候,报告格式没有什么限制 WordPDF 都可以,那个时候我开始使用 Markdown 作为我的排版工具,因为实在是没有时间经历去研究 Word 的各种高级功能(<s>主要是懒</s>。Markdown 十分简单,易学,在<a href="https://github.com" target="_blank" rel="noopener">Github</a>等计算机专业相关平台使用也非常广泛,还可以通过各种模板快速生成<strong>好看</strong><strong>美观</strong><strong>专业</strong>的文档。</p>
<p>后来到了澳国立,老师教...</p>
<span class="read-more"><a href="/write-latex-report-with-markdown/" title="查看全文" class="posttitle">查看全文</a> <b class="iconfont icon-arrow-right- gradient-text"></b></span>
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<a href="/tags/ANU/" style="font-size: 16px; color: #0ed2f7">ANU</a> <a href="/tags/Ada/" style="font-size: 16px; color: #0ed2f7">Ada</a> <a href="/tags/Cpp/" style="font-size: 16px; color: #0ed2f7">Cpp</a> <a href="/tags/Docker/" style="font-size: 16px; color: #0ed2f7">Docker</a> <a href="/tags/Linux/" style="font-size: 16px; color: #057de0">Linux</a> <a href="/tags/Markdown/" style="font-size: 16px; color: #0ed2f7">Markdown</a> <a href="/tags/Open-Source/" style="font-size: 16px; color: #09a7eb">Open-Source</a> <a href="/tags/Others/" style="font-size: 16px; color: #0ed2f7">Others</a> <a href="/tags/R/" style="font-size: 16px; color: #0ed2f7">R</a> <a href="/tags/Shell/" style="font-size: 16px; color: #0ed2f7">Shell</a> <a href="/tags/Terminal/" style="font-size: 16px; color: #0ed2f7">Terminal</a> <a href="/tags/Windows/" style="font-size: 16px; color: #0052d4">Windows</a>
<a href="/tags/ANU/" style="font-size: 16px; color: #0ed2f7">ANU</a> <a href="/tags/Ada/" style="font-size: 16px; color: #0ed2f7">Ada</a> <a href="/tags/Cpp/" style="font-size: 16px; color: #0ed2f7">Cpp</a> <a href="/tags/Docker/" style="font-size: 16px; color: #0ed2f7">Docker</a> <a href="/tags/Linux/" style="font-size: 16px; color: #057de0">Linux</a> <a href="/tags/Markdown/" style="font-size: 16px; color: #09a7eb">Markdown</a> <a href="/tags/Open-Source/" style="font-size: 16px; color: #09a7eb">Open-Source</a> <a href="/tags/Others/" style="font-size: 16px; color: #0ed2f7">Others</a> <a href="/tags/R/" style="font-size: 16px; color: #0ed2f7">R</a> <a href="/tags/Shell/" style="font-size: 16px; color: #0ed2f7">Shell</a> <a href="/tags/Terminal/" style="font-size: 16px; color: #0ed2f7">Terminal</a> <a href="/tags/Windows/" style="font-size: 16px; color: #0052d4">Windows</a>
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<li><a href="/">10 <p>文章</p></a></li>
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