<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Sven LI's Homepage</title><link>https://sven-li-sankyuu.github.io/</link><atom:link href="https://sven-li-sankyuu.github.io/index.xml" rel="self" type="application/rss+xml"/><description>Sven LI's Homepage</description><generator>Hugo Blox Builder (https://hugoblox.com)</generator><language>en-us</language><lastBuildDate>Mon, 24 Oct 2022 00:00:00 +0000</lastBuildDate><image><url>https://sven-li-sankyuu.github.io/media/icon_hu15255132113151062080.png</url><title>Sven LI's Homepage</title><link>https://sven-li-sankyuu.github.io/</link></image><item><title>Example Talk</title><link>https://sven-li-sankyuu.github.io/event/example/</link><pubDate>Sat, 01 Jun 2030 13:00:00 +0000</pubDate><guid>https://sven-li-sankyuu.github.io/event/example/</guid><description>&lt;div class="flex px-4 py-3 mb-6 rounded-md bg-primary-100 dark:bg-primary-900">
&lt;span class="pr-3 pt-1 text-primary-600 dark:text-primary-300">
&lt;svg height="24" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24">&lt;path fill="none" stroke="currentColor" stroke-linecap="round" stroke-linejoin="round" stroke-width="1.5" d="m11.25 11.25l.041-.02a.75.75 0 0 1 1.063.852l-.708 2.836a.75.75 0 0 0 1.063.853l.041-.021M21 12a9 9 0 1 1-18 0a9 9 0 0 1 18 0m-9-3.75h.008v.008H12z"/>&lt;/svg>
&lt;/span>
&lt;span class="dark:text-neutral-300">Click on the &lt;strong>Slides&lt;/strong> button above to view the built-in slides feature.&lt;/span>
&lt;/div>
&lt;p>Slides can be added in a few ways:&lt;/p>
&lt;ul>
&lt;li>&lt;strong>Create&lt;/strong> slides using Hugo Blox Builder&amp;rsquo;s &lt;a href="https://docs.hugoblox.com/reference/content-types/" target="_blank" rel="noopener">&lt;em>Slides&lt;/em>&lt;/a> feature and link using &lt;code>slides&lt;/code> parameter in the front matter of the talk file&lt;/li>
&lt;li>&lt;strong>Upload&lt;/strong> an existing slide deck to &lt;code>static/&lt;/code> and link using &lt;code>url_slides&lt;/code> parameter in the front matter of the talk file&lt;/li>
&lt;li>&lt;strong>Embed&lt;/strong> your slides (e.g. Google Slides) or presentation video on this page using &lt;a href="https://docs.hugoblox.com/reference/markdown/" target="_blank" rel="noopener">shortcodes&lt;/a>.&lt;/li>
&lt;/ul>
&lt;p>Further event details, including &lt;a href="https://docs.hugoblox.com/reference/markdown/" target="_blank" rel="noopener">page elements&lt;/a> such as image galleries, can be added to the body of this page.&lt;/p></description></item><item><title>KnowMT-Bench: Benchmarking Knowledge-Intensive Long-Form Question Answering in Multi-Turn Dialogues</title><link>https://sven-li-sankyuu.github.io/publication/knowmt-bench/</link><pubDate>Fri, 26 Sep 2025 00:00:00 +0000</pubDate><guid>https://sven-li-sankyuu.github.io/publication/knowmt-bench/</guid><description>&lt;h2 id="abstract">Abstract&lt;/h2>
&lt;p>Multi-Turn Long-Form Question Answering (MT-LFQA) is a key application paradigm of Large Language Models (LLMs) in knowledge-intensive domains. However, existing benchmarks are limited to single-turn dialogue, while multi-turn dialogue benchmarks typically assess other orthogonal capabilities rather than knowledge-intensive factuality.&lt;/p>
&lt;p>This paper introduces &lt;strong>KnowMT-Bench&lt;/strong>, the first-ever benchmark designed to systematically evaluate MT-LFQA for LLMs across knowledge-intensive fields, including medicine, finance, and law.&lt;/p></description></item><item><title>Interpreting Fedspeak with Confidence: A LLM-Based Uncertainty-Aware Framework Guided by Monetary Policy Transmission Paths</title><link>https://sven-li-sankyuu.github.io/publication/fedspeak-confidence/</link><pubDate>Tue, 12 Aug 2025 00:00:00 +0000</pubDate><guid>https://sven-li-sankyuu.github.io/publication/fedspeak-confidence/</guid><description>&lt;h2 id="abstract">Abstract&lt;/h2>
&lt;p>This paper proposes an LLM-based uncertainty-aware framework for interpreting Federal Reserve communications (Fedspeak) and classifying monetary policy stance. The framework incorporates domain-specific reasoning grounded in monetary policy transmission mechanisms and introduces dynamic uncertainty decoding to assess prediction confidence.&lt;/p>
&lt;h2 id="methodology">Methodology&lt;/h2>
&lt;ul>
&lt;li>&lt;strong>Domain Knowledge Integration&lt;/strong>: Incorporates monetary policy transmission mechanism knowledge&lt;/li>
&lt;li>&lt;strong>Uncertainty Quantification&lt;/strong>: Decomposes perceptual uncertainty into cognitive risk and environmental ambiguity&lt;/li>
&lt;li>&lt;strong>Dynamic Decoding&lt;/strong>: Adaptively selects decoding strategies based on model confidence levels&lt;/li>
&lt;/ul>
&lt;h2 id="results">Results&lt;/h2>
&lt;p>The framework achieves competitive performance on policy stance analysis tasks, with uncertainty measures providing reliability indicators for predictions.&lt;/p></description></item><item><title>Compliance-to-Code: Enhancing Financial Compliance Checking via Code Generation</title><link>https://sven-li-sankyuu.github.io/publication/compliance-to-code/</link><pubDate>Mon, 19 May 2025 00:00:00 +0000</pubDate><guid>https://sven-li-sankyuu.github.io/publication/compliance-to-code/</guid><description>&lt;h2 id="abstract">Abstract&lt;/h2>
&lt;p>This paper presents Compliance-to-Code, a large-scale Chinese dataset for financial regulatory compliance, containing 1,159 annotated clauses from 361 regulations across ten categories. Each clause is structured with four logical elements: subject, condition, constraint, and contextual information. The dataset includes deterministic Python code mappings and detailed reasoning to facilitate automated compliance checking.&lt;/p>
&lt;h2 id="dataset-overview">Dataset Overview&lt;/h2>
&lt;ul>
&lt;li>&lt;strong>Scale&lt;/strong>: 1,159 annotated regulatory clauses&lt;/li>
&lt;li>&lt;strong>Coverage&lt;/strong>: 361 regulations across ten financial categories&lt;/li>
&lt;li>&lt;strong>Structure&lt;/strong>: Modular compliance units with logical elements&lt;/li>
&lt;li>&lt;strong>Code Mappings&lt;/strong>: Python implementations for automated checking&lt;/li>
&lt;/ul>
&lt;h2 id="fincheck-pipeline">FinCheck Pipeline&lt;/h2>
&lt;p>The paper introduces FinCheck, a pipeline system for automated compliance checking that processes natural language regulations and generates executable compliance code.&lt;/p></description></item><item><title>Projects</title><link>https://sven-li-sankyuu.github.io/projects/</link><pubDate>Sun, 19 May 2024 00:00:00 +0000</pubDate><guid>https://sven-li-sankyuu.github.io/projects/</guid><description/></item><item><title>🎉 Easily create your own simple yet highly customizable blog</title><link>https://sven-li-sankyuu.github.io/post/get-started/</link><pubDate>Fri, 27 Oct 2023 00:00:00 +0000</pubDate><guid>https://sven-li-sankyuu.github.io/post/get-started/</guid><description>&lt;p>Welcome 👋&lt;/p>
&lt;details class="print:hidden xl:hidden" open>
&lt;summary>Table of Contents&lt;/summary>
&lt;div class="text-sm">
&lt;nav id="TableOfContents">
&lt;ul>
&lt;li>&lt;a href="#overview">Overview&lt;/a>
&lt;ul>
&lt;li>&lt;a href="#get-started">Get Started&lt;/a>&lt;/li>
&lt;/ul>
&lt;/li>
&lt;li>&lt;a href="#crowd-funded-open-source-software">Crowd-funded open-source software&lt;/a>
&lt;ul>
&lt;li>&lt;a href="#-click-here-to-become-a-sponsor-and-help-support-hugo-bloxs-future-httpshugobloxcomsponsor">&lt;a href="https://hugoblox.com/sponsor/">❤️ Click here to become a sponsor and help support Hugo Blox&amp;rsquo;s future ❤️&lt;/a>&lt;/a>&lt;/li>
&lt;/ul>
&lt;/li>
&lt;li>&lt;a href="#ecosystem">Ecosystem&lt;/a>&lt;/li>
&lt;li>&lt;a href="#inspiration">Inspiration&lt;/a>&lt;/li>
&lt;li>&lt;a href="#features">Features&lt;/a>&lt;/li>
&lt;li>&lt;a href="#themes">Themes&lt;/a>&lt;/li>
&lt;li>&lt;a href="#license">License&lt;/a>&lt;/li>
&lt;/ul>
&lt;/nav>
&lt;/div>
&lt;/details>
&lt;h2 id="overview">Overview&lt;/h2>
&lt;ol>
&lt;li>The Hugo Blox website builder for Hugo, along with its starter templates, is designed for professional creators, educators, and teams/organizations - although it can be used to create any kind of site&lt;/li>
&lt;li>The template can be modified and customised to suit your needs. It&amp;rsquo;s a good platform for anyone looking to take control of their data and online identity whilst having the convenience to start off with a &lt;strong>no-code solution (write in Markdown and customize with YAML parameters)&lt;/strong> and having &lt;strong>flexibility to later add even deeper personalization with HTML and CSS&lt;/strong>&lt;/li>
&lt;li>You can work with all your favourite tools and apps with hundreds of plugins and integrations to speed up your workflows, interact with your readers, and much more&lt;/li>
&lt;/ol>
&lt;h3 id="get-started">Get Started&lt;/h3>
&lt;ul>
&lt;li>👉 &lt;a href="https://hugoblox.com/templates/" target="_blank" rel="noopener">&lt;strong>Create a new site&lt;/strong>&lt;/a>&lt;/li>
&lt;li>📚 &lt;a href="https://docs.hugoblox.com/" target="_blank" rel="noopener">&lt;strong>Personalize your site&lt;/strong>&lt;/a>&lt;/li>
&lt;li>💬 &lt;a href="https://discord.gg/z8wNYzb" target="_blank" rel="noopener">Chat with the &lt;strong>Hugo Blox community&lt;/strong>&lt;/a> or &lt;a href="https://discourse.gohugo.io" target="_blank" rel="noopener">&lt;strong>Hugo community&lt;/strong>&lt;/a>&lt;/li>
&lt;li>🐦 Twitter: &lt;a href="https://twitter.com/GetResearchDev" target="_blank" rel="noopener">@GetResearchDev&lt;/a> &lt;a href="https://twitter.com/GeorgeCushen" target="_blank" rel="noopener">@GeorgeCushen&lt;/a> #MadeWithHugoBlox&lt;/li>
&lt;li>💡 &lt;a href="https://github.com/HugoBlox/hugo-blox-builder/issues" target="_blank" rel="noopener">Request a &lt;strong>feature&lt;/strong> or report a &lt;strong>bug&lt;/strong> for &lt;em>Hugo Blox&lt;/em>&lt;/a>&lt;/li>
&lt;li>⬆️ &lt;strong>Updating Hugo Blox?&lt;/strong> View the &lt;a href="https://docs.hugoblox.com/reference/update/" target="_blank" rel="noopener">Update Guide&lt;/a> and &lt;a href="https://github.com/HugoBlox/hugo-blox-builder/releases" target="_blank" rel="noopener">Release Notes&lt;/a>&lt;/li>
&lt;/ul>
&lt;h2 id="crowd-funded-open-source-software">Crowd-funded open-source software&lt;/h2>
&lt;p>To help us develop this template and software sustainably under the MIT license, we ask all individuals and businesses that use it to help support its ongoing maintenance and development via sponsorship.&lt;/p>
&lt;h3 id="-click-here-to-become-a-sponsor-and-help-support-hugo-bloxs-future-httpshugobloxcomsponsor">&lt;a href="https://hugoblox.com/sponsor/" target="_blank" rel="noopener">❤️ Click here to become a sponsor and help support Hugo Blox&amp;rsquo;s future ❤️&lt;/a>&lt;/h3>
&lt;p>As a token of appreciation for sponsoring, you can &lt;strong>unlock &lt;a href="https://hugoblox.com/sponsor/" target="_blank" rel="noopener">these&lt;/a> awesome rewards and extra features 🦄✨&lt;/strong>&lt;/p>
&lt;h2 id="ecosystem">Ecosystem&lt;/h2>
&lt;ul>
&lt;li>&lt;strong>&lt;a href="https://github.com/GetRD/academic-file-converter" target="_blank" rel="noopener">Bibtex To Markdown&lt;/a>:&lt;/strong> Automatically import publications from BibTeX&lt;/li>
&lt;/ul>
&lt;h2 id="inspiration">Inspiration&lt;/h2>
&lt;p>&lt;a href="https://hugoblox.com/creators/" target="_blank" rel="noopener">Learn what other &lt;strong>creators&lt;/strong>&lt;/a> are building with this template.&lt;/p>
&lt;h2 id="features">Features&lt;/h2>
&lt;ul>
&lt;li>&lt;strong>Page builder&lt;/strong> - Create &lt;em>anything&lt;/em> with no-code &lt;a href="https://hugoblox.com/blocks/" target="_blank" rel="noopener">&lt;strong>blocks&lt;/strong>&lt;/a> and &lt;a href="https://docs.hugoblox.com/reference/markdown/" target="_blank" rel="noopener">&lt;strong>elements&lt;/strong>&lt;/a>&lt;/li>
&lt;li>&lt;strong>Edit any type of content&lt;/strong> - Blog posts, publications, talks, slides, projects, and more!&lt;/li>
&lt;li>&lt;strong>Create content&lt;/strong> in &lt;a href="https://docs.hugoblox.com/reference/markdown/" target="_blank" rel="noopener">&lt;strong>Markdown&lt;/strong>&lt;/a>, &lt;a href="https://docs.hugoblox.com/getting-started/cms/" target="_blank" rel="noopener">&lt;strong>Jupyter&lt;/strong>&lt;/a>, or &lt;a href="https://docs.hugoblox.com/getting-started/cms/" target="_blank" rel="noopener">&lt;strong>RStudio&lt;/strong>&lt;/a>&lt;/li>
&lt;li>&lt;strong>Plugin System&lt;/strong> - Fully customizable &lt;a href="https://docs.hugoblox.com/getting-started/customize/" target="_blank" rel="noopener">&lt;strong>color&lt;/strong> and &lt;strong>font themes&lt;/strong>&lt;/a>&lt;/li>
&lt;li>&lt;strong>Display Code and Math&lt;/strong> - Code syntax highlighting and LaTeX math supported&lt;/li>
&lt;li>&lt;strong>Integrations&lt;/strong> - &lt;a href="https://analytics.google.com" target="_blank" rel="noopener">Google Analytics&lt;/a>, &lt;a href="https://disqus.com" target="_blank" rel="noopener">Disqus commenting&lt;/a>, Maps, Contact Forms, and more!&lt;/li>
&lt;li>&lt;strong>Beautiful Site&lt;/strong> - Simple and refreshing one-page design&lt;/li>
&lt;li>&lt;strong>Industry-Leading SEO&lt;/strong> - Help get your website found on search engines and social media&lt;/li>
&lt;li>&lt;strong>Media Galleries&lt;/strong> - Display your images and videos with captions in a customizable gallery&lt;/li>
&lt;li>&lt;strong>Mobile Friendly&lt;/strong> - Look amazing on every screen with a mobile friendly version of your site&lt;/li>
&lt;li>&lt;strong>Multi-language&lt;/strong> - 35+ language packs including English, 中文, and Português&lt;/li>
&lt;li>&lt;strong>Multi-user&lt;/strong> - Each author gets their own profile page&lt;/li>
&lt;li>&lt;strong>Privacy Pack&lt;/strong> - Assists with GDPR&lt;/li>
&lt;li>&lt;strong>Stand Out&lt;/strong> - Bring your site to life with animation, parallax backgrounds, and scroll effects&lt;/li>
&lt;li>&lt;strong>One-Click Deployment&lt;/strong> - No servers. No databases. Only files.&lt;/li>
&lt;/ul>
&lt;h2 id="themes">Themes&lt;/h2>
&lt;p>Hugo Blox and its templates come with &lt;strong>automatic day (light) and night (dark) mode&lt;/strong> built-in. Visitors can choose their preferred mode by clicking the sun/moon icon in the header.&lt;/p>
&lt;p>&lt;a href="https://docs.hugoblox.com/getting-started/customize/" target="_blank" rel="noopener">Choose a stunning &lt;strong>theme&lt;/strong> and &lt;strong>font&lt;/strong>&lt;/a> for your site. Themes are fully customizable.&lt;/p>
&lt;h2 id="license">License&lt;/h2>
&lt;p>Copyright 2016-present &lt;a href="https://georgecushen.com" target="_blank" rel="noopener">George Cushen&lt;/a>.&lt;/p>
&lt;p>Released under the &lt;a href="https://github.com/HugoBlox/hugo-blox-builder/blob/main/LICENSE.md" target="_blank" rel="noopener">MIT&lt;/a> license.&lt;/p></description></item><item><title>Pandas</title><link>https://sven-li-sankyuu.github.io/project/pandas/</link><pubDate>Thu, 26 Oct 2023 00:00:00 +0000</pubDate><guid>https://sven-li-sankyuu.github.io/project/pandas/</guid><description>&lt;p>Flexible and powerful data analysis / manipulation library for Python, providing labeled data structures.&lt;/p></description></item><item><title>PyTorch</title><link>https://sven-li-sankyuu.github.io/project/pytorch/</link><pubDate>Thu, 26 Oct 2023 00:00:00 +0000</pubDate><guid>https://sven-li-sankyuu.github.io/project/pytorch/</guid><description>&lt;p>PyTorch is a Python package that provides tensor computation (like NumPy) with strong GPU acceleration.&lt;/p></description></item><item><title>scikit-learn</title><link>https://sven-li-sankyuu.github.io/project/scikit/</link><pubDate>Thu, 26 Oct 2023 00:00:00 +0000</pubDate><guid>https://sven-li-sankyuu.github.io/project/scikit/</guid><description>&lt;p>scikit-learn is a Python module for machine learning built on top of SciPy and is distributed under the 3-Clause BSD license.&lt;/p></description></item><item><title>Experience</title><link>https://sven-li-sankyuu.github.io/experience/</link><pubDate>Tue, 24 Oct 2023 00:00:00 +0000</pubDate><guid>https://sven-li-sankyuu.github.io/experience/</guid><description/></item><item><title>Learn JavaScript</title><link>https://sven-li-sankyuu.github.io/teaching/js/</link><pubDate>Tue, 24 Oct 2023 00:00:00 +0000</pubDate><guid>https://sven-li-sankyuu.github.io/teaching/js/</guid><description>&lt;p>&lt;a href="https://hugoblox.com" target="_blank" rel="noopener">Hugo Blox Builder&lt;/a> is designed to give technical content creators a seamless experience. You can focus on the content and the Hugo Blox Builder which this template is built upon handles the rest.&lt;/p>
&lt;p>&lt;strong>Embed videos, podcasts, code, LaTeX math, and even test students!&lt;/strong>&lt;/p>
&lt;p>On this page, you&amp;rsquo;ll find some examples of the types of technical content that can be rendered with Hugo Blox.&lt;/p>
&lt;h2 id="video">Video&lt;/h2>
&lt;p>Teach your course by sharing videos with your students. Choose from one of the following approaches:&lt;/p>
&lt;div style="position: relative; padding-bottom: 56.25%; height: 0; overflow: hidden;">
&lt;iframe allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" allowfullscreen="allowfullscreen" loading="eager" referrerpolicy="strict-origin-when-cross-origin" src="https://www.youtube.com/embed/D2vj0WcvH5c?autoplay=0&amp;controls=1&amp;end=0&amp;loop=0&amp;mute=0&amp;start=0" style="position: absolute; top: 0; left: 0; width: 100%; height: 100%; border:0;" title="YouTube video"
>&lt;/iframe>
&lt;/div>
&lt;p>&lt;strong>Youtube&lt;/strong>:&lt;/p>
&lt;pre>&lt;code>{{&amp;lt; youtube w7Ft2ymGmfc &amp;gt;}}
&lt;/code>&lt;/pre>
&lt;p>&lt;strong>Bilibili&lt;/strong>:&lt;/p>
&lt;pre>&lt;code>{{&amp;lt; bilibili id=&amp;quot;BV1WV4y1r7DF&amp;quot; &amp;gt;}}
&lt;/code>&lt;/pre>
&lt;p>&lt;strong>Video file&lt;/strong>&lt;/p>
&lt;p>Videos may be added to a page by either placing them in your &lt;code>assets/media/&lt;/code> media library or in your &lt;a href="https://gohugo.io/content-management/page-bundles/" target="_blank" rel="noopener">page&amp;rsquo;s folder&lt;/a>, and then embedding them with the &lt;em>video&lt;/em> shortcode:&lt;/p>
&lt;pre>&lt;code>{{&amp;lt; video src=&amp;quot;my_video.mp4&amp;quot; controls=&amp;quot;yes&amp;quot; &amp;gt;}}
&lt;/code>&lt;/pre>
&lt;h2 id="podcast">Podcast&lt;/h2>
&lt;p>You can add a podcast or music to a page by placing the MP3 file in the page&amp;rsquo;s folder or the media library folder and then embedding the audio on your page with the &lt;em>audio&lt;/em> shortcode:&lt;/p>
&lt;pre>&lt;code>{{&amp;lt; audio src=&amp;quot;ambient-piano.mp3&amp;quot; &amp;gt;}}
&lt;/code>&lt;/pre>
&lt;p>Try it out:&lt;/p>
&lt;audio controls >
&lt;source src="https://sven-li-sankyuu.github.io/teaching/js/ambient-piano.mp3" type="audio/mpeg">
&lt;/audio>
&lt;h2 id="test-students">Test students&lt;/h2>
&lt;p>Provide a simple yet fun self-assessment by revealing the solutions to challenges with the &lt;code>spoiler&lt;/code> shortcode:&lt;/p>
&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-markdown" data-lang="markdown">&lt;span class="line">&lt;span class="cl">{{&lt;span class="p">&amp;lt;&lt;/span> &lt;span class="nt">spoiler&lt;/span> &lt;span class="na">text&lt;/span>&lt;span class="o">=&lt;/span>&lt;span class="s">&amp;#34;👉 Click to view the solution&amp;#34;&lt;/span> &lt;span class="p">&amp;gt;&lt;/span>}}
&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">You found me!
&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">{{&lt;span class="p">&amp;lt;&lt;/span> &lt;span class="p">/&lt;/span>&lt;span class="nt">spoiler&lt;/span> &lt;span class="p">&amp;gt;&lt;/span>}}
&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;p>renders as&lt;/p>
&lt;details class="spoiler " id="spoiler-2">
&lt;summary class="cursor-pointer">👉 Click to view the solution&lt;/summary>
&lt;div class="rounded-lg bg-neutral-50 dark:bg-neutral-800 p-2">
You found me 🎉
&lt;/div>
&lt;/details>
&lt;h2 id="math">Math&lt;/h2>
&lt;p>Hugo Blox Builder supports a Markdown extension for $\LaTeX$ math. You can enable this feature by toggling the &lt;code>math&lt;/code> option in your &lt;code>config/_default/params.yaml&lt;/code> file.&lt;/p>
&lt;p>To render &lt;em>inline&lt;/em> or &lt;em>block&lt;/em> math, wrap your LaTeX math with &lt;code>{{&amp;lt; math &amp;gt;}}$...${{&amp;lt; /math &amp;gt;}}&lt;/code> or &lt;code>{{&amp;lt; math &amp;gt;}}$$...$${{&amp;lt; /math &amp;gt;}}&lt;/code>, respectively.&lt;/p>
&lt;div class="flex px-4 py-3 mb-6 rounded-md bg-primary-100 dark:bg-primary-900">
&lt;span class="pr-3 pt-1 text-primary-600 dark:text-primary-300">
&lt;svg height="24" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24">&lt;path fill="none" stroke="currentColor" stroke-linecap="round" stroke-linejoin="round" stroke-width="1.5" d="m11.25 11.25l.041-.02a.75.75 0 0 1 1.063.852l-.708 2.836a.75.75 0 0 0 1.063.853l.041-.021M21 12a9 9 0 1 1-18 0a9 9 0 0 1 18 0m-9-3.75h.008v.008H12z"/>&lt;/svg>
&lt;/span>
&lt;span class="dark:text-neutral-300">We wrap the LaTeX math in the Hugo Blox &lt;em>math&lt;/em> shortcode to prevent Hugo rendering our math as Markdown.&lt;/span>
&lt;/div>
&lt;p>Example &lt;strong>math block&lt;/strong>:&lt;/p>
&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-latex" data-lang="latex">&lt;span class="line">&lt;span class="cl">&lt;span class="nb">{{&lt;/span>&amp;lt; math &amp;gt;&lt;span class="nb">}}&lt;/span>
&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="sb">$$&lt;/span>&lt;span class="nb">
&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="nb">&lt;/span>&lt;span class="nv">\gamma&lt;/span>&lt;span class="nb">_{n} &lt;/span>&lt;span class="o">=&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\frac&lt;/span>&lt;span class="nb">{ &lt;/span>&lt;span class="nv">\left&lt;/span>&lt;span class="nb"> | &lt;/span>&lt;span class="nv">\left&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="o">(&lt;/span>&lt;span class="nv">\mathbf&lt;/span>&lt;span class="nb"> x_{n} &lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\mathbf&lt;/span>&lt;span class="nb"> x_{n&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="m">1&lt;/span>&lt;span class="nb">} &lt;/span>&lt;span class="nv">\right&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="o">)&lt;/span>&lt;span class="nb">^T &lt;/span>&lt;span class="nv">\left&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="o">[&lt;/span>&lt;span class="nv">\nabla&lt;/span>&lt;span class="nb"> F &lt;/span>&lt;span class="o">(&lt;/span>&lt;span class="nv">\mathbf&lt;/span>&lt;span class="nb"> x_{n}&lt;/span>&lt;span class="o">)&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\nabla&lt;/span>&lt;span class="nb"> F &lt;/span>&lt;span class="o">(&lt;/span>&lt;span class="nv">\mathbf&lt;/span>&lt;span class="nb"> x_{n&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="m">1&lt;/span>&lt;span class="nb">}&lt;/span>&lt;span class="o">)&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\right&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="o">]&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\right&lt;/span>&lt;span class="nb"> |}{&lt;/span>&lt;span class="nv">\left&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\|\nabla&lt;/span>&lt;span class="nb"> F&lt;/span>&lt;span class="o">(&lt;/span>&lt;span class="nv">\mathbf&lt;/span>&lt;span class="nb">{x}_{n}&lt;/span>&lt;span class="o">)&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\nabla&lt;/span>&lt;span class="nb"> F&lt;/span>&lt;span class="o">(&lt;/span>&lt;span class="nv">\mathbf&lt;/span>&lt;span class="nb">{x}_{n&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="m">1&lt;/span>&lt;span class="nb">}&lt;/span>&lt;span class="o">)&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\right&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\|&lt;/span>&lt;span class="nb">^&lt;/span>&lt;span class="m">2&lt;/span>&lt;span class="nb">}
&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="nb">&lt;/span>&lt;span class="s">$$&lt;/span>
&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="nb">{{&lt;/span>&amp;lt; /math &amp;gt;&lt;span class="nb">}}&lt;/span>
&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;p>renders as&lt;/p>
$$\gamma_{n} = \frac{ \left | \left (\mathbf x_{n} - \mathbf x_{n-1} \right )^T \left [\nabla F (\mathbf x_{n}) - \nabla F (\mathbf x_{n-1}) \right ] \right |}{\left \|\nabla F(\mathbf{x}_{n}) - \nabla F(\mathbf{x}_{n-1}) \right \|^2}$$
&lt;p>Example &lt;strong>inline math&lt;/strong> &lt;code>{{&amp;lt; math &amp;gt;}}$\nabla F(\mathbf{x}_{n})${{&amp;lt; /math &amp;gt;}}&lt;/code> renders as $\nabla F(\mathbf{x}_{n})$
.&lt;/p>
&lt;p>Example &lt;strong>multi-line math&lt;/strong> using the math linebreak (&lt;code>\\&lt;/code>):&lt;/p>
&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-latex" data-lang="latex">&lt;span class="line">&lt;span class="cl">&lt;span class="nb">{{&lt;/span>&amp;lt; math &amp;gt;&lt;span class="nb">}}&lt;/span>
&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="sb">$$&lt;/span>&lt;span class="nb">f&lt;/span>&lt;span class="o">(&lt;/span>&lt;span class="nb">k;p_{&lt;/span>&lt;span class="m">0&lt;/span>&lt;span class="nb">}^{&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="nb">}&lt;/span>&lt;span class="o">)&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="o">=&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\begin&lt;/span>&lt;span class="nb">{cases}p_{&lt;/span>&lt;span class="m">0&lt;/span>&lt;span class="nb">}^{&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="nb">} &amp;amp; &lt;/span>&lt;span class="nv">\text&lt;/span>&lt;span class="nb">{if }k&lt;/span>&lt;span class="o">=&lt;/span>&lt;span class="m">1&lt;/span>&lt;span class="nb">, &lt;/span>&lt;span class="nv">\\&lt;/span>&lt;span class="nb">
&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="nb">&lt;/span>&lt;span class="m">1&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="nb">p_{&lt;/span>&lt;span class="m">0&lt;/span>&lt;span class="nb">}^{&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="nb">} &amp;amp; &lt;/span>&lt;span class="nv">\text&lt;/span>&lt;span class="nb">{if }k&lt;/span>&lt;span class="o">=&lt;/span>&lt;span class="m">0&lt;/span>&lt;span class="nb">.&lt;/span>&lt;span class="nv">\end&lt;/span>&lt;span class="nb">{cases}&lt;/span>&lt;span class="s">$$&lt;/span>
&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="nb">{{&lt;/span>&amp;lt; /math &amp;gt;&lt;span class="nb">}}&lt;/span>
&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;p>renders as&lt;/p>
$$
f(k;p_{0}^{*}) = \begin{cases}p_{0}^{*} &amp; \text{if }k=1, \\
1-p_{0}^{*} &amp; \text{if }k=0.\end{cases}
$$
&lt;h2 id="code">Code&lt;/h2>
&lt;p>Hugo Blox Builder utilises Hugo&amp;rsquo;s Markdown extension for highlighting code syntax. The code theme can be selected in the &lt;code>config/_default/params.yaml&lt;/code> file.&lt;/p>
&lt;pre>&lt;code>```python
import pandas as pd
data = pd.read_csv(&amp;quot;data.csv&amp;quot;)
data.head()
```
&lt;/code>&lt;/pre>
&lt;p>renders as&lt;/p>
&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-python" data-lang="python">&lt;span class="line">&lt;span class="cl">&lt;span class="kn">import&lt;/span> &lt;span class="nn">pandas&lt;/span> &lt;span class="k">as&lt;/span> &lt;span class="nn">pd&lt;/span>
&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">data&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">pd&lt;/span>&lt;span class="o">.&lt;/span>&lt;span class="n">read_csv&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s2">&amp;#34;data.csv&amp;#34;&lt;/span>&lt;span class="p">)&lt;/span>
&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">data&lt;/span>&lt;span class="o">.&lt;/span>&lt;span class="n">head&lt;/span>&lt;span class="p">()&lt;/span>
&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;h2 id="inline-images">Inline Images&lt;/h2>
&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-go" data-lang="go">&lt;span class="line">&lt;span class="cl">&lt;span class="p">{{&amp;lt;&lt;/span> &lt;span class="nx">icon&lt;/span> &lt;span class="nx">name&lt;/span>&lt;span class="p">=&lt;/span>&lt;span class="s">&amp;#34;python&amp;#34;&lt;/span> &lt;span class="p">&amp;gt;}}&lt;/span> &lt;span class="nx">Python&lt;/span>
&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;p>renders as&lt;/p>
&lt;p>
&lt;span class="inline-block pr-1">
&lt;svg style="height: 1em; transform: translateY(0.1em);" xmlns="http://www.w3.org/2000/svg" height="1em" viewBox="0 0 448 512" fill="currentColor">&lt;path d="M439.8 200.5c-7.7-30.9-22.3-54.2-53.4-54.2h-40.1v47.4c0 36.8-31.2 67.8-66.8 67.8H172.7c-29.2 0-53.4 25-53.4 54.3v101.8c0 29 25.2 46 53.4 54.3 33.8 9.9 66.3 11.7 106.8 0 26.9-7.8 53.4-23.5 53.4-54.3v-40.7H226.2v-13.6h160.2c31.1 0 42.6-21.7 53.4-54.2 11.2-33.5 10.7-65.7 0-108.6zM286.2 404c11.1 0 20.1 9.1 20.1 20.3 0 11.3-9 20.4-20.1 20.4-11 0-20.1-9.2-20.1-20.4.1-11.3 9.1-20.3 20.1-20.3zM167.8 248.1h106.8c29.7 0 53.4-24.5 53.4-54.3V91.9c0-29-24.4-50.7-53.4-55.6-35.8-5.9-74.7-5.6-106.8.1-45.2 8-53.4 24.7-53.4 55.6v40.7h106.9v13.6h-147c-31.1 0-58.3 18.7-66.8 54.2-9.8 40.7-10.2 66.1 0 108.6 7.6 31.6 25.7 54.2 56.8 54.2H101v-48.8c0-35.3 30.5-66.4 66.8-66.4zm-6.7-142.6c-11.1 0-20.1-9.1-20.1-20.3.1-11.3 9-20.4 20.1-20.4 11 0 20.1 9.2 20.1 20.4s-9 20.3-20.1 20.3z"/>&lt;/svg>
&lt;/span> Python&lt;/p>
&lt;h2 id="did-you-find-this-page-helpful-consider-sharing-it-">Did you find this page helpful? Consider sharing it 🙌&lt;/h2></description></item><item><title>Learn Python</title><link>https://sven-li-sankyuu.github.io/teaching/python/</link><pubDate>Tue, 24 Oct 2023 00:00:00 +0000</pubDate><guid>https://sven-li-sankyuu.github.io/teaching/python/</guid><description>&lt;p>&lt;a href="https://hugoblox.com" target="_blank" rel="noopener">Hugo Blox Builder&lt;/a> is designed to give technical content creators a seamless experience. You can focus on the content and the Hugo Blox Builder which this template is built upon handles the rest.&lt;/p>
&lt;p>&lt;strong>Embed videos, podcasts, code, LaTeX math, and even test students!&lt;/strong>&lt;/p>
&lt;p>On this page, you&amp;rsquo;ll find some examples of the types of technical content that can be rendered with Hugo Blox.&lt;/p>
&lt;h2 id="video">Video&lt;/h2>
&lt;p>Teach your course by sharing videos with your students. Choose from one of the following approaches:&lt;/p>
&lt;div style="position: relative; padding-bottom: 56.25%; height: 0; overflow: hidden;">
&lt;iframe allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" allowfullscreen="allowfullscreen" loading="eager" referrerpolicy="strict-origin-when-cross-origin" src="https://www.youtube.com/embed/D2vj0WcvH5c?autoplay=0&amp;controls=1&amp;end=0&amp;loop=0&amp;mute=0&amp;start=0" style="position: absolute; top: 0; left: 0; width: 100%; height: 100%; border:0;" title="YouTube video"
>&lt;/iframe>
&lt;/div>
&lt;p>&lt;strong>Youtube&lt;/strong>:&lt;/p>
&lt;pre>&lt;code>{{&amp;lt; youtube w7Ft2ymGmfc &amp;gt;}}
&lt;/code>&lt;/pre>
&lt;p>&lt;strong>Bilibili&lt;/strong>:&lt;/p>
&lt;pre>&lt;code>{{&amp;lt; bilibili id=&amp;quot;BV1WV4y1r7DF&amp;quot; &amp;gt;}}
&lt;/code>&lt;/pre>
&lt;p>&lt;strong>Video file&lt;/strong>&lt;/p>
&lt;p>Videos may be added to a page by either placing them in your &lt;code>assets/media/&lt;/code> media library or in your &lt;a href="https://gohugo.io/content-management/page-bundles/" target="_blank" rel="noopener">page&amp;rsquo;s folder&lt;/a>, and then embedding them with the &lt;em>video&lt;/em> shortcode:&lt;/p>
&lt;pre>&lt;code>{{&amp;lt; video src=&amp;quot;my_video.mp4&amp;quot; controls=&amp;quot;yes&amp;quot; &amp;gt;}}
&lt;/code>&lt;/pre>
&lt;h2 id="podcast">Podcast&lt;/h2>
&lt;p>You can add a podcast or music to a page by placing the MP3 file in the page&amp;rsquo;s folder or the media library folder and then embedding the audio on your page with the &lt;em>audio&lt;/em> shortcode:&lt;/p>
&lt;pre>&lt;code>{{&amp;lt; audio src=&amp;quot;ambient-piano.mp3&amp;quot; &amp;gt;}}
&lt;/code>&lt;/pre>
&lt;p>Try it out:&lt;/p>
&lt;audio controls >
&lt;source src="https://sven-li-sankyuu.github.io/teaching/python/ambient-piano.mp3" type="audio/mpeg">
&lt;/audio>
&lt;h2 id="test-students">Test students&lt;/h2>
&lt;p>Provide a simple yet fun self-assessment by revealing the solutions to challenges with the &lt;code>spoiler&lt;/code> shortcode:&lt;/p>
&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-markdown" data-lang="markdown">&lt;span class="line">&lt;span class="cl">{{&lt;span class="p">&amp;lt;&lt;/span> &lt;span class="nt">spoiler&lt;/span> &lt;span class="na">text&lt;/span>&lt;span class="o">=&lt;/span>&lt;span class="s">&amp;#34;👉 Click to view the solution&amp;#34;&lt;/span> &lt;span class="p">&amp;gt;&lt;/span>}}
&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">You found me!
&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">{{&lt;span class="p">&amp;lt;&lt;/span> &lt;span class="p">/&lt;/span>&lt;span class="nt">spoiler&lt;/span> &lt;span class="p">&amp;gt;&lt;/span>}}
&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;p>renders as&lt;/p>
&lt;details class="spoiler " id="spoiler-2">
&lt;summary class="cursor-pointer">👉 Click to view the solution&lt;/summary>
&lt;div class="rounded-lg bg-neutral-50 dark:bg-neutral-800 p-2">
You found me 🎉
&lt;/div>
&lt;/details>
&lt;h2 id="math">Math&lt;/h2>
&lt;p>Hugo Blox Builder supports a Markdown extension for $\LaTeX$ math. You can enable this feature by toggling the &lt;code>math&lt;/code> option in your &lt;code>config/_default/params.yaml&lt;/code> file.&lt;/p>
&lt;p>To render &lt;em>inline&lt;/em> or &lt;em>block&lt;/em> math, wrap your LaTeX math with &lt;code>{{&amp;lt; math &amp;gt;}}$...${{&amp;lt; /math &amp;gt;}}&lt;/code> or &lt;code>{{&amp;lt; math &amp;gt;}}$$...$${{&amp;lt; /math &amp;gt;}}&lt;/code>, respectively.&lt;/p>
&lt;div class="flex px-4 py-3 mb-6 rounded-md bg-primary-100 dark:bg-primary-900">
&lt;span class="pr-3 pt-1 text-primary-600 dark:text-primary-300">
&lt;svg height="24" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24">&lt;path fill="none" stroke="currentColor" stroke-linecap="round" stroke-linejoin="round" stroke-width="1.5" d="m11.25 11.25l.041-.02a.75.75 0 0 1 1.063.852l-.708 2.836a.75.75 0 0 0 1.063.853l.041-.021M21 12a9 9 0 1 1-18 0a9 9 0 0 1 18 0m-9-3.75h.008v.008H12z"/>&lt;/svg>
&lt;/span>
&lt;span class="dark:text-neutral-300">We wrap the LaTeX math in the Hugo Blox &lt;em>math&lt;/em> shortcode to prevent Hugo rendering our math as Markdown.&lt;/span>
&lt;/div>
&lt;p>Example &lt;strong>math block&lt;/strong>:&lt;/p>
&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-latex" data-lang="latex">&lt;span class="line">&lt;span class="cl">&lt;span class="nb">{{&lt;/span>&amp;lt; math &amp;gt;&lt;span class="nb">}}&lt;/span>
&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="sb">$$&lt;/span>&lt;span class="nb">
&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="nb">&lt;/span>&lt;span class="nv">\gamma&lt;/span>&lt;span class="nb">_{n} &lt;/span>&lt;span class="o">=&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\frac&lt;/span>&lt;span class="nb">{ &lt;/span>&lt;span class="nv">\left&lt;/span>&lt;span class="nb"> | &lt;/span>&lt;span class="nv">\left&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="o">(&lt;/span>&lt;span class="nv">\mathbf&lt;/span>&lt;span class="nb"> x_{n} &lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\mathbf&lt;/span>&lt;span class="nb"> x_{n&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="m">1&lt;/span>&lt;span class="nb">} &lt;/span>&lt;span class="nv">\right&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="o">)&lt;/span>&lt;span class="nb">^T &lt;/span>&lt;span class="nv">\left&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="o">[&lt;/span>&lt;span class="nv">\nabla&lt;/span>&lt;span class="nb"> F &lt;/span>&lt;span class="o">(&lt;/span>&lt;span class="nv">\mathbf&lt;/span>&lt;span class="nb"> x_{n}&lt;/span>&lt;span class="o">)&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\nabla&lt;/span>&lt;span class="nb"> F &lt;/span>&lt;span class="o">(&lt;/span>&lt;span class="nv">\mathbf&lt;/span>&lt;span class="nb"> x_{n&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="m">1&lt;/span>&lt;span class="nb">}&lt;/span>&lt;span class="o">)&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\right&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="o">]&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\right&lt;/span>&lt;span class="nb"> |}{&lt;/span>&lt;span class="nv">\left&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\|\nabla&lt;/span>&lt;span class="nb"> F&lt;/span>&lt;span class="o">(&lt;/span>&lt;span class="nv">\mathbf&lt;/span>&lt;span class="nb">{x}_{n}&lt;/span>&lt;span class="o">)&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\nabla&lt;/span>&lt;span class="nb"> F&lt;/span>&lt;span class="o">(&lt;/span>&lt;span class="nv">\mathbf&lt;/span>&lt;span class="nb">{x}_{n&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="m">1&lt;/span>&lt;span class="nb">}&lt;/span>&lt;span class="o">)&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\right&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\|&lt;/span>&lt;span class="nb">^&lt;/span>&lt;span class="m">2&lt;/span>&lt;span class="nb">}
&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="nb">&lt;/span>&lt;span class="s">$$&lt;/span>
&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="nb">{{&lt;/span>&amp;lt; /math &amp;gt;&lt;span class="nb">}}&lt;/span>
&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;p>renders as&lt;/p>
$$\gamma_{n} = \frac{ \left | \left (\mathbf x_{n} - \mathbf x_{n-1} \right )^T \left [\nabla F (\mathbf x_{n}) - \nabla F (\mathbf x_{n-1}) \right ] \right |}{\left \|\nabla F(\mathbf{x}_{n}) - \nabla F(\mathbf{x}_{n-1}) \right \|^2}$$
&lt;p>Example &lt;strong>inline math&lt;/strong> &lt;code>{{&amp;lt; math &amp;gt;}}$\nabla F(\mathbf{x}_{n})${{&amp;lt; /math &amp;gt;}}&lt;/code> renders as $\nabla F(\mathbf{x}_{n})$
.&lt;/p>
&lt;p>Example &lt;strong>multi-line math&lt;/strong> using the math linebreak (&lt;code>\\&lt;/code>):&lt;/p>
&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-latex" data-lang="latex">&lt;span class="line">&lt;span class="cl">&lt;span class="nb">{{&lt;/span>&amp;lt; math &amp;gt;&lt;span class="nb">}}&lt;/span>
&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="sb">$$&lt;/span>&lt;span class="nb">f&lt;/span>&lt;span class="o">(&lt;/span>&lt;span class="nb">k;p_{&lt;/span>&lt;span class="m">0&lt;/span>&lt;span class="nb">}^{&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="nb">}&lt;/span>&lt;span class="o">)&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="o">=&lt;/span>&lt;span class="nb"> &lt;/span>&lt;span class="nv">\begin&lt;/span>&lt;span class="nb">{cases}p_{&lt;/span>&lt;span class="m">0&lt;/span>&lt;span class="nb">}^{&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="nb">} &amp;amp; &lt;/span>&lt;span class="nv">\text&lt;/span>&lt;span class="nb">{if }k&lt;/span>&lt;span class="o">=&lt;/span>&lt;span class="m">1&lt;/span>&lt;span class="nb">, &lt;/span>&lt;span class="nv">\\&lt;/span>&lt;span class="nb">
&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="nb">&lt;/span>&lt;span class="m">1&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="nb">p_{&lt;/span>&lt;span class="m">0&lt;/span>&lt;span class="nb">}^{&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="nb">} &amp;amp; &lt;/span>&lt;span class="nv">\text&lt;/span>&lt;span class="nb">{if }k&lt;/span>&lt;span class="o">=&lt;/span>&lt;span class="m">0&lt;/span>&lt;span class="nb">.&lt;/span>&lt;span class="nv">\end&lt;/span>&lt;span class="nb">{cases}&lt;/span>&lt;span class="s">$$&lt;/span>
&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="nb">{{&lt;/span>&amp;lt; /math &amp;gt;&lt;span class="nb">}}&lt;/span>
&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;p>renders as&lt;/p>
$$
f(k;p_{0}^{*}) = \begin{cases}p_{0}^{*} &amp; \text{if }k=1, \\
1-p_{0}^{*} &amp; \text{if }k=0.\end{cases}
$$
&lt;h2 id="code">Code&lt;/h2>
&lt;p>Hugo Blox Builder utilises Hugo&amp;rsquo;s Markdown extension for highlighting code syntax. The code theme can be selected in the &lt;code>config/_default/params.yaml&lt;/code> file.&lt;/p>
&lt;pre>&lt;code>```python
import pandas as pd
data = pd.read_csv(&amp;quot;data.csv&amp;quot;)
data.head()
```
&lt;/code>&lt;/pre>
&lt;p>renders as&lt;/p>
&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-python" data-lang="python">&lt;span class="line">&lt;span class="cl">&lt;span class="kn">import&lt;/span> &lt;span class="nn">pandas&lt;/span> &lt;span class="k">as&lt;/span> &lt;span class="nn">pd&lt;/span>
&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">data&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">pd&lt;/span>&lt;span class="o">.&lt;/span>&lt;span class="n">read_csv&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s2">&amp;#34;data.csv&amp;#34;&lt;/span>&lt;span class="p">)&lt;/span>
&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">data&lt;/span>&lt;span class="o">.&lt;/span>&lt;span class="n">head&lt;/span>&lt;span class="p">()&lt;/span>
&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;h2 id="inline-images">Inline Images&lt;/h2>
&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-go" data-lang="go">&lt;span class="line">&lt;span class="cl">&lt;span class="p">{{&amp;lt;&lt;/span> &lt;span class="nx">icon&lt;/span> &lt;span class="nx">name&lt;/span>&lt;span class="p">=&lt;/span>&lt;span class="s">&amp;#34;python&amp;#34;&lt;/span> &lt;span class="p">&amp;gt;}}&lt;/span> &lt;span class="nx">Python&lt;/span>
&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;p>renders as&lt;/p>
&lt;p>
&lt;span class="inline-block pr-1">
&lt;svg style="height: 1em; transform: translateY(0.1em);" xmlns="http://www.w3.org/2000/svg" height="1em" viewBox="0 0 448 512" fill="currentColor">&lt;path d="M439.8 200.5c-7.7-30.9-22.3-54.2-53.4-54.2h-40.1v47.4c0 36.8-31.2 67.8-66.8 67.8H172.7c-29.2 0-53.4 25-53.4 54.3v101.8c0 29 25.2 46 53.4 54.3 33.8 9.9 66.3 11.7 106.8 0 26.9-7.8 53.4-23.5 53.4-54.3v-40.7H226.2v-13.6h160.2c31.1 0 42.6-21.7 53.4-54.2 11.2-33.5 10.7-65.7 0-108.6zM286.2 404c11.1 0 20.1 9.1 20.1 20.3 0 11.3-9 20.4-20.1 20.4-11 0-20.1-9.2-20.1-20.4.1-11.3 9.1-20.3 20.1-20.3zM167.8 248.1h106.8c29.7 0 53.4-24.5 53.4-54.3V91.9c0-29-24.4-50.7-53.4-55.6-35.8-5.9-74.7-5.6-106.8.1-45.2 8-53.4 24.7-53.4 55.6v40.7h106.9v13.6h-147c-31.1 0-58.3 18.7-66.8 54.2-9.8 40.7-10.2 66.1 0 108.6 7.6 31.6 25.7 54.2 56.8 54.2H101v-48.8c0-35.3 30.5-66.4 66.8-66.4zm-6.7-142.6c-11.1 0-20.1-9.1-20.1-20.3.1-11.3 9-20.4 20.1-20.4 11 0 20.1 9.2 20.1 20.4s-9 20.3-20.1 20.3z"/>&lt;/svg>
&lt;/span> Python&lt;/p>
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