<?xml version="1.0" encoding="utf-8"?><feed xmlns="http://www.w3.org/2005/Atom" ><generator uri="https://jekyllrb.com/" version="3.10.0">Jekyll</generator><link href="https://alex4165.github.io/feed.xml" rel="self" type="application/atom+xml" /><link href="https://alex4165.github.io/" rel="alternate" type="text/html" /><updated>2026-05-07T13:03:15+00:00</updated><id>https://alex4165.github.io/feed.xml</id><title type="html">Alexander</title><subtitle>Personal site and writing.</subtitle><entry><title type="html">Example post</title><link href="https://alex4165.github.io/posts/example-post/" rel="alternate" type="text/html" title="Example post" /><published>2026-05-07T00:00:00+00:00</published><updated>2026-05-07T00:00:00+00:00</updated><id>https://alex4165.github.io/posts/example-post</id><content type="html" xml:base="https://alex4165.github.io/posts/example-post/"><![CDATA[<p>This is an example post. The filename is <code class="language-plaintext highlighter-rouge">_posts/2026-05-07-example-post.md</code> — the <code class="language-plaintext highlighter-rouge">YYYY-MM-DD-slug.md</code> format is required by Jekyll. Front matter at the top sets the title, date, and (when needed) <code class="language-plaintext highlighter-rouge">math: true</code> to load KaTeX on the page.</p>

<p>Lorem ipsum dolor sit amet, consectetur adipiscing elit. Sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.</p>

<h2 id="a-second-level-heading">A second-level heading</h2>

<p>You can write <strong>bold</strong>, <em>italics</em>, <code class="language-plaintext highlighter-rouge">inline code</code>, and <a href="https://example.com">links</a>. Footnotes work too<sup id="fnref:1" role="doc-noteref"><a href="#fn:1" class="footnote" rel="footnote">1</a></sup>.</p>

<h3 id="a-third-level-heading">A third-level heading</h3>

<p>Lists:</p>

<ol>
  <li>First item</li>
  <li>Second item</li>
  <li>Third item</li>
</ol>

<ul>
  <li>Bullet</li>
  <li>Bullet</li>
  <li>Bullet</li>
</ul>

<p>A blockquote:</p>

<blockquote>
  <p>Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur.</p>
</blockquote>

<p>A code block:</p>

<div class="language-python highlighter-rouge"><div class="highlight"><pre class="highlight"><code><span class="k">def</span> <span class="nf">fib</span><span class="p">(</span><span class="n">n</span><span class="p">):</span>
    <span class="n">a</span><span class="p">,</span> <span class="n">b</span> <span class="o">=</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span>
    <span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">n</span><span class="p">):</span>
        <span class="n">a</span><span class="p">,</span> <span class="n">b</span> <span class="o">=</span> <span class="n">b</span><span class="p">,</span> <span class="n">a</span> <span class="o">+</span> <span class="n">b</span>
    <span class="k">return</span> <span class="n">a</span>
</code></pre></div></div>

<p>A small table:</p>

<table>
  <thead>
    <tr>
      <th>Symbol</th>
      <th>Meaning</th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <td>$n$</td>
      <td>sample size</td>
    </tr>
    <tr>
      <td>$\mu$</td>
      <td>mean</td>
    </tr>
    <tr>
      <td>$\sigma$</td>
      <td>std. dev.</td>
    </tr>
  </tbody>
</table>

<h2 id="math">Math</h2>

<p>Inline math uses backslash-paren: \( e^{i\pi} + 1 = 0 \).
Does (e=mc^2) not work?
Display math uses double dollars or backslash-brackets:</p>

\[\int_{-\infty}^{\infty} e^{-x^2}\,dx = \sqrt{\pi}\]

<p>Aligned equations:</p>

\[\begin{aligned}
\nabla \cdot \mathbf{E} &amp;= \frac{\rho}{\varepsilon_0} \\
\nabla \cdot \mathbf{B} &amp;= 0 \\
\nabla \times \mathbf{E} &amp;= -\frac{\partial \mathbf{B}}{\partial t} \\
\nabla \times \mathbf{B} &amp;= \mu_0 \mathbf{J} + \mu_0 \varepsilon_0 \frac{\partial \mathbf{E}}{\partial t}
\end{aligned}\]

<p>A note on inline math: use <code class="language-plaintext highlighter-rouge">\(...\)</code> rather than <code class="language-plaintext highlighter-rouge">$...$</code> so plain dollar signs in prose (e.g. “it cost $5”) don’t get treated as math delimiters.</p>

<hr />

<p>To add a new post, drop a Markdown file into <code class="language-plaintext highlighter-rouge">_posts/</code> named <code class="language-plaintext highlighter-rouge">YYYY-MM-DD-your-slug.md</code>, set <code class="language-plaintext highlighter-rouge">math: true</code> in the front matter if you need formulas, and write. That’s it.</p>
<div class="footnotes" role="doc-endnotes">
  <ol>
    <li id="fn:1" role="doc-endnote">
      <p>Like this one. <a href="#fnref:1" class="reversefootnote" role="doc-backlink">&#8617;</a></p>
    </li>
  </ol>
</div>]]></content><author><name></name></author><summary type="html"><![CDATA[This is an example post. The filename is _posts/2026-05-07-example-post.md — the YYYY-MM-DD-slug.md format is required by Jekyll. Front matter at the top sets the title, date, and (when needed) math: true to load KaTeX on the page.]]></summary></entry></feed>