https://changzh.me/en/posts/Recent content in Posts on Blog of BrianHugoenTue, 21 Jul 2026 10:06:38 +0800https://changzh.me/en/posts/site-now-bilingual/Tue, 21 Jul 2026 10:06:38 +0800https://changzh.me/en/posts/site-now-bilingual/<p>Great news: as of today, every piece of content on this site is available in <strong>both English and Chinese</strong>!</p>https://changzh.me/en/posts/new-domain-cloudflare/Fri, 17 Jul 2026 19:08:03 +0800https://changzh.me/en/posts/new-domain-cloudflare/<h2 id="good-news-the-blog-has-its-own-domain">Good News: The Blog Has Its Own Domain</h2> <p>Starting today, this blog has a <strong>dedicated, easy-to-remember new domain</strong>:</p> <blockquote> <p><strong><a href="https://changzh.me">https://changzh.me</a></strong></p> </blockquote> <p>The old, unwieldy address <code>changzhihang.github.io/blog/</code> has been <strong>intentionally retired</strong> — it is no longer maintained and should no longer point to this site. <strong>A note of caution</strong>: if you ever click a link somewhere and get redirected to that old address, something is misconfigured. Please let me know so I can track it down and fix it. The new domain is not only easier to remember — the entire technical stack behind it has been upgraded. The site now runs on <strong>Cloudflare</strong>&rsquo;s global network, loading faster and more reliably, with HTTPS included automatically.</p>https://changzh.me/en/posts/bounded-field-gravity-particle/Thu, 16 Jul 2026 11:50:00 +0800https://changzh.me/en/posts/bounded-field-gravity-particle/<p>A classic high-school physics problem: a charged particle enters a bounded uniform magnetic field perpendicularly, and we ask how strong the field must be so the particle &ldquo;just exits through the right boundary.&rdquo; The standard solution ignores gravity, and the trajectory is a clean circular arc. But what happens if <strong>gravity is included and the problem is flipped — the field is given, and the width is what we seek</strong>? The answer is: the circle becomes a <strong>cycloid</strong>, and the problem can still be solved elegantly — in two quite different ways. This post documents that extended problem (B6 Extension) and its two solutions.</p>https://changzh.me/en/posts/minecraft-lucky-seed/Sun, 12 Jul 2026 00:15:00 +0800https://changzh.me/en/posts/minecraft-lucky-seed/<p>In survival mode, the first few minutes often come down to pure luck. This time, on <strong>Java 26.2</strong>, I rolled a genuinely incredible seed — <strong>6927526677832987590</strong> — packed with resources, great terrain, and even the speedrunner&rsquo;s dream combo of a Nether Fortress right at the portal exit plus a Blaze spawner just steps away. Here is a breakdown of the early-game route, both as a personal record and a reference for anyone who wants to recreate it.</p>https://changzh.me/en/posts/simple-harmonic-motion/Sat, 11 Jul 2026 11:00:00 +0800https://changzh.me/en/posts/simple-harmonic-motion/<p>High-school physics tells us that the displacement in simple harmonic motion (SHM) is a sinusoidal function. But textbooks never explain <em>why</em> — they assume a solution of the form $x(t)=\sin(\cdots)$, substitute it into the equation, verify that it works, and call it a day. That is a <strong>working backwards from the unknown to the known</strong> approach, and it has always left me uneasy.</p> <p>So I decided to do the opposite: starting from Hooke&rsquo;s law as the sole axiom, I would analyse the evolution of velocity step by step and see whether I could <strong>derive the unknown from the known</strong> — letting that sine (or cosine) emerge on its own. This post records my two attempts: the first using brute-force infinite subdivision, the second using matrices and geometry. From complicated to clean, I ended up colliding head-on with Euler&rsquo;s formula.</p>https://changzh.me/en/posts/electromagnetism-notes/Sat, 11 Jul 2026 10:45:00 +0800https://changzh.me/en/posts/electromagnetism-notes/<p>I have been systematically studying electromagnetism, tracing the full arc from electric fields, magnetic fields, and circuits through field energy, LC oscillations, and power generation. This post organises those scattered notes into a coherent framework — partly as a personal review, partly in the hope that it helps others working through the same material.</p> <p>The derivations involve quite a few equations, but the core is really just one thread: <strong>electricity and magnetism are two sides of the same coin, and energy flows through the field</strong>.</p>https://changzh.me/en/posts/second-post/Tue, 07 Jul 2026 17:30:07 +0800https://changzh.me/en/posts/second-post/<p>This is the second post in this blog.</p>https://changzh.me/en/posts/my-very-first-post/Tue, 07 Jul 2026 17:26:07 +0800https://changzh.me/en/posts/my-very-first-post/<p>This is the first post in this blog.</p> <p>Written by the creator, Brian Chang.</p>