Meta: Wiki Capabilities, TeX Math & Typography Reference

1. Mathematical Typography: KaTeX TeX Math Engine

The wiki is equipped with a high-performance KaTeX client-side rendering engine. Mathematical formulas and scientific equations are written using standard LaTeX math syntax.

Delimiters

Display Equations (Block Math): Enclose in double dollar signs $$ ... $$ on their own lines. Centered and formatted with full display geometry.
Inline Equations: Enclose in single dollar signs $ ... $ directly within sentences.

Core TeX Math Examples & Cheat Sheet

1. Fractions, Exponents & Powers

$$\text{FREQ} = \frac{433,920,000}{24,000,000} \times 2^{16} = 1,184,883 = \mathbf{0x121473}$$

$$\text{FREQ} = \frac{433,920,000}{24,000,000} \times 2^{16} = 1,184,883 = \mathbf{0x121473}$$

2. Symbol Timing & Multi-Term Equations

$$\text{Data Rate} = \frac{(256 + \text{DRATE-M}) \times 2^{\text{DRATE-E}}}{2^{28}} \times f_{\text{XOSC}} = \mathbf{3433.22\text{ baud}}$$

$$\text{Data Rate} = \frac{(256 + \text{DRATE-M}) \times 2^{\text{DRATE-E}}}{2^{28}} \times f_{\text{XOSC}} = \mathbf{3433.22\text{ baud}}$$

3. Signal Flow & Daisy-Chains

$$\text{Red (Source: fc79)} \longrightarrow \text{Blue (1st Sink)} \longrightarrow \text{Green (2nd Sink)} \longrightarrow \text{Yellow (75}\Omega\text{ Terminated)}$$

$$\text{Red (Source: fc79)} \longrightarrow \text{Blue (1st Sink)} \longrightarrow \text{Green (2nd Sink)} \longrightarrow \text{Yellow (75}\Omega\text{ Terminated)}$$

4. Radicals, Integrals & Summations

$$f(x) = \int_{-\infty}^{\infty} \hat{f}(\xi) e^{2\pi i \xi x} \text{ } d\xi \qquad \sum_{k=0}^{n} \binom{n}{k} x^k y^{n-k} = (x + y)^n$$

$$f(x) = \int_{-\infty}^{\infty} \hat{f}(\xi) e^{2\pi i \xi x} \text{ } d\xi \qquad \sum_{k=0}^{n} \binom{n}{k} x^k y^{n-k} = (x + y)^n$$

5. Matrices & Linear Systems

$$\begin{pmatrix} y_1 \\ y_2 \end{pmatrix} = \begin{bmatrix} a_{11} & a_{12} \\ a_{21} & a_{22} \end{bmatrix} \begin{pmatrix} x_1 \\ x_2 \end{pmatrix}$$

$$\begin{pmatrix} y_1 \\ y_2 \end{pmatrix} = \begin{bmatrix} a_{11} & a_{12} \\ a_{21} & a_{22} \end{bmatrix} \begin{pmatrix} x_1 \\ x_2 \end{pmatrix}$$

6. Piecewise Functions & Cases

$$f(n) = \begin{cases} \frac{n}{2} & \text{if } n \equiv 0 \pmod{2} \\ 3n + 1 & \text{if } n \equiv 1 \pmod{2} \end{cases}$$

$$f(n) = \begin{cases} \frac{n}{2} & \text{if } n \equiv 0 \pmod{2} \\ 3n + 1 & \text{if } n \equiv 1 \pmod{2} \end{cases}$$

KaTeX vs. XeLaTeX: What Is and Is Not Supported

Feature	KaTeX (Browser Math Engine)	Full XeLaTeX / pdfLaTeX
Execution Environment	Client-side JavaScript DOM rendering	Server-side CLI TeX compiler (`xelatex`)
Mathematical Formulas (`\frac`, `\int`, `\sum`)	YES (Full TeX math subset)	YES
Inline Math ( $x$ ) & Block Math (`$$x$$`)	YES	YES
Greek, Hebrew & Math Symbols	YES (`\alpha, \beta, \Omega, \aleph`)	YES
Unicode in Math (`\text{日本語}`)	YES (Direct UTF-8 support)	YES
Document Preambles (`\documentclass`)	NO (Not a document compiler)	YES
Arbitrary LaTeX Packages (`\usepackage`)	NO	YES
XeTeX FontSpec & System TTF Embedding	NO	YES

2. Comprehensive Symbol & Character Reference Tables

Below is the complete reference of scientific, mathematical, typographic, and special symbols available in BookStack using TeX Math (KaTeX) and Standard HTML/Unicode.

2.1 Units, Angles, Temperature & Physics Symbols

Symbol Name	TeX Math Code	TeX Rendered	HTML Entity / Code	HTML Rendered	Example Usage
Degree (Angle / Temp)	`^\circ` or `^\circ\text{C}`	$^\circ$, $25^\circ\text{C}$	`°` or `°`	°	$\theta = 90^\circ$ , `72°F`
Degree Fahrenheit	`^\circ\text{F}`	$77^\circ\text{F}$	`°F`	°F	$T = 68^\circ\text{F}$
Ohm (Resistance)	`\Omega` or `\text{k}\Omega`	$\Omega$, $\text{k}\Omega$	`Ω`	Ω	$R_1 = 4.7\text{k}\Omega$
Micro (Prefix)	`\mu` or `\mu\text{F}`	$\mu$, $\mu\text{F}$	`µ`	µ	$C = 100\mu\text{F}$ , `µs`
Delta (Change / Diff)	`\Delta` or `\delta`	$\Delta$, $\delta$	`Δ`, `δ`	Δ, δ	$\Delta V = 1.2\text{ V}$
H-bar (Planck Constant)	`\hbar`	$\hbar$	`ℏ`	ℏ	$\hbar = \frac{h}{2\pi}$
Angstrom (Wavelength)	`\text{\AA}` or `\mathring{\text{A}}`	$\text{\AA}$	`Å`	Å	$\lambda = 5500\text{ \AA}$
Angle	`\angle`, `\measuredangle`	$\angle$, $\measuredangle$	`&ang;` or `∠`	∠	$\angle ABC = 45^\circ$
Perpendicular / Orthogonal	`\perp`	$\perp$	`&perp;`	⊥	$\vec{A} \perp \vec{B}$
Parallel	`\parallel`	$\parallel$	`∥`	∥	$L_1 \parallel L_2$
Infinity	`\infty`	$\infty$	`∞`	∞	$\lim_{x \to \infty} f(x)$
Proportional To	`\propto`	$\propto$	`&prop;`	∝	$F \propto \frac{1}{r^2}$
Approximately Equal	`\approx`, `\sim`	$\approx$, $\sim$	`≈`	≈	$x \approx 3.14$
Plus-Minus / Minus-Plus	`\pm`, `\mp`	$\pm$, $\mp$	`±`	±	$V_{\text{out}} = 5\text{V} \pm 5\%$
Multiplication / Dot	`\times`, `\cdot`	$\times$, $\cdot$	`×`, `·`	×, ·	`$A \times B$, $A \cdot B$`
Division	`\div`	$\div$	`÷`	÷	$a \div b$

2.2 Complete Greek Alphabet Reference

Letter Name	Lowercase TeX	Rendered	Uppercase TeX	Rendered	HTML Lower / Upper
Alpha	`\alpha`	$\alpha$	`A`	$A$	`α` (α) / `Α` (Α)
Beta	`\beta`	$\beta$	`B`	$B$	`β` (β) / `Β` (Β)
Gamma	`\gamma`	$\gamma$	`\Gamma`	$\Gamma$	`γ` (γ) / `Γ` (Γ)
Delta	`\delta`	$\delta$	`\Delta`	$\Delta$	`δ` (δ) / `Δ` (Δ)
Epsilon	`\epsilon`, `\varepsilon`	$\epsilon$, $\varepsilon$	`E`	$E$	`ε` (ε) / `Ε` (Ε)
Zeta	`\zeta`	$\zeta$	`Z`	$Z$	`ζ` (ζ) / `Ζ` (Ζ)
Eta	`\eta`	$\eta$	`H`	$H$	`η` (η) / `Η` (Η)
Theta	`\theta`, `\vartheta`	$\theta$, $\vartheta$	`\Theta`	$\Theta$	`θ` (θ) / `Θ` (Θ)
Iota	`\iota`	$\iota$	`I`	$I$	`ι` (ι) / `Ι` (Ι)
Kappa	`\kappa`	$\kappa$	`K`	$K$	`κ` (κ) / `Κ` (Κ)
Lambda	`\lambda`	$\lambda$	`\Lambda`	$\Lambda$	`λ` (λ) / `Λ` (Λ)
Mu	`\mu`	$\mu$	`M`	$M$	`μ` (μ) / `Μ` (Μ)
Nu	`\nu`	$\nu$	`N`	$N$	`ν` (ν) / `Ν` (Ν)
Xi	`\xi`	$\xi$	`\Xi`	$\Xi$	`ξ` (ξ) / `Ξ` (Ξ)
Pi	`\pi`, `\varpi`	$\pi$, $\varpi$	`\Pi`	$\Pi$	`π` (π) / `Π` (Π)
Rho	`\rho`, `\varrho`	$\rho$, $\varrho$	`P`	$P$	`ρ` (ρ) / `Ρ` (Ρ)
Sigma	`\sigma`, `\varsigma`	$\sigma$, $\varsigma$	`\Sigma`	$\Sigma$	`σ` (σ) / `Σ` (Σ)
Tau	`\tau`	$\tau$	`T`	$T$	`τ` (τ) / `Τ` (Τ)
Upsilon	`\upsilon`	$\upsilon$	`\Upsilon`	$\Upsilon$	`υ` (υ) / `Υ` (Υ)
Phi	`\phi`, `\varphi`	$\phi$, $\varphi$	`\Phi`	$\Phi$	`φ` (φ) / `Φ` (Φ)
Chi	`\chi`	$\chi$	`X`	$X$	`χ` (χ) / `Χ` (Χ)
Psi	`\psi`	$\psi$	`\Psi`	$\Psi$	`ψ` (ψ) / `Ψ` (Ψ)
Omega	`\omega`	$\omega$	`\Omega`	$\Omega$	`ω` (ω) / `Ω` (Ω)

2.3 Calculus, Operators & Matrix Formats

Operation / Concept	TeX Math Code	Rendered Output
Definite / Indefinite Integral	`\int_{a}^{b} f(x) \text{ } dx`	$\int_{a}^{b} f(x) \text{ } dx$
Contour / Surface Integral	`\oint_C \vec{B} \cdot d\vec{\ell}`, `\iint_S \vec{E} \cdot d\vec{A}`	$\oint_C \vec{B} \cdot d\vec{\ell}$, $\iint_S \vec{E} \cdot d\vec{A}$
Summation & Product	`\sum_{k=1}^{n} k^2`, `\prod_{i=1}^{n} x_i`	$\sum_{k=1}^{n} k^2$, $\prod_{i=1}^{n} x_i$
Partial Derivatives & Nabla	`\frac{\partial^2 \psi}{\partial x^2}`, `\nabla \times \vec{B}`	$\frac{\partial^2 \psi}{\partial x^2}$, $\nabla \times \vec{B}$
Limits	`\lim_{x \to 0} \frac{\sin x}{x} = 1`	$\lim_{x \to 0} \frac{\sin x}{x} = 1$
Square & Nth Roots	`\sqrt{x^2 + y^2}`, `\sqrt[3]{V}`	$\sqrt{x^2 + y^2}$, $\sqrt[3]{V}$
Vectors & Hats	`\vec{v}`, `\mathbf{E}`, `\hat{n}`, `\dot{x}`, `\ddot{\theta}`	$\vec{v}$, $\mathbf{E}$, $\hat{n}$, $\dot{x}$, $\ddot{\theta}$
Matrix (Parentheses)	`\begin{pmatrix} a & b \\ c & d \end{pmatrix}`	$\begin{pmatrix} a & b \\ c & d \end{pmatrix}$
Matrix (Brackets)	`\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}`	$\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$
Determinant / Magnitude	`\begin{vmatrix} x & y \\ z & w \end{vmatrix}`	$\begin{vmatrix} x & y \\ z & w \end{vmatrix}$

2.4 Logic, Set Theory & Relational Symbols

Category	TeX Math Code	Rendered	HTML Entity / Code
Quantifiers	`\forall x`, `\exists y`, `\nexists z`	$\forall x$, $\exists y$, $\nexists z$	`∀` (∀), `∃` (∃)
Set Membership	`x \in A`, `y \notin B`, `\emptyset`	$x \in A$, $y \notin B$, $\emptyset$	`∈` (∈), `∉` (∉), `∅` (∅)
Subsets & Supersets	`A \subset B`, `A \subseteq B`, `A \cup B`, `A \cap B`	$A \subset B$, $A \subseteq B$, $A \cup B$, $A \cap B$	`⊂` (⊂), `&sube;` (⊆), `∪` (∪), `∩` (∩)
Logic Relations	`P \land Q`, `P \lor Q`, `\neg P`	$P \land Q$, $P \lor Q$, $\neg P$	`&and;` (∧), `&or;` (∨), `¬` (¬)
Implication & Equivalence	`P \implies Q`, `P \iff Q`, `A \equiv B`	$P \implies Q$, $P \iff Q$, $A \equiv B$	`⇒` (⇒), `⇔` (⇔), `&equiv;` (≡)
Conclusions	`\therefore`, `\because`, `\blacksquare`, `\Box`	$\therefore$, $\because$, $\blacksquare$, $\Box$	`&there4;` (∴), `∵` (∵)

2.5 Arrows & Signal Flow Symbols

Arrow Direction / Type	TeX Math Code	Rendered	HTML Entity
Right / Left Arrow	`\rightarrow`, `\leftarrow`, `\leftrightarrow`	$\rightarrow$, $\leftarrow$, $\leftrightarrow$	`→` (→), `←` (←), `↔` (↔)
Long Right / Left	`\longrightarrow`, `\longleftarrow`, `\longleftrightarrow`	$\longrightarrow$, $\longleftarrow$, $\longleftrightarrow$	`⟶` (⟶), `⟵` (⟵)
Up / Down Arrow	`\uparrow`, `\downarrow`, `\updownarrow`	$\uparrow$, $\downarrow$, $\updownarrow$	`↑` (↑), `↓` (↓)
Double Implies Arrows	`\Rightarrow`, `\Leftarrow`, `\Leftrightarrow`	$\Rightarrow$, $\Leftarrow$, $\Leftrightarrow$	`⇒` (⇒), `⇐` (⇐), `⇔` (⇔)
Mapping / Yields	`\mapsto`, `\longmapsto`, `\rightharpoonup`	$\mapsto$, $\longmapsto$, $\rightharpoonup$	`↦` (↦)

2.6 Typographic & Standard Wiki HTML Entities

Character / Symbol	HTML Entity	Decimal Code	Rendered	Common Use Case
Degree Symbol	`°`	`°`	°	Angles (`45°`), Temperatures (`72°F`, `22°C`)
Em Dash	`—`	`—`	—	Long punctuation breaks — like this
En Dash	`–`	`–`	–	Number ranges (e.g. pp. 10–15, 2020–2026)
Non-Breaking Space	` `	` `		Prevents unwanted line-breaks between values and units
Left / Right Smart Double Quotes	`“`, `”`	`“`, `”`	“ ”	Publication-quality quotation marks
Left / Right Smart Single Quotes	`‘`, `’`	`‘`, `’`	‘ ’	Apostrophes and single quotations
Fractions (Vulgar)	`½`, `¼`, `¾`	`½`, `¼`, `¾`	½, ¼, ¾	Inline fractions without invoking full TeX
Copyright / Registered / Trademark	`©`, `®`, `™`	`©`, `®`, `™`	©, ®, ™	Legal and branding designations
Checkmark / Crossmark	`✓`, `✗`	`✓`, `✗`	✓, ✗	Verification and status indicators
Bullet / Middle Dot	`•`, `·`	`•`, `·`	•, ·	Lists and inline separators

3. Japanese Typography & Furigana (Ruby Text)

BookStack fully supports HTML5 Ruby Annotations (<ruby> and <rt>) for rendering Japanese Furigana (reading glosses placed above Kanji characters).

Furigana Syntax & Examples

Whole-Word Furigana

<ruby>漢字<rt>かんじ</rt></ruby>
<ruby>東京<rt>とうきょう</rt></ruby>

Rendered Output: 漢字かんじ, 東京とうきょう

Per-Character Furigana (Fine-Grained Alignment)

<ruby>振<rt>ふ</rt>り<rt></rt>仮<rt>が</rt>名<rt>な</rt></ruby>
<ruby>電<rt>でん</rt>波<rt>ぱ</rt></ruby>

Rendered Output: 振ふり仮が名な, 電でん波ぱ

Japanese Text Inside TeX Math Blocks

Japanese characters can be rendered directly inside math equations using \text{...}:

$$\text{周波数 } f = 433.92\text{ MHz} \qquad \text{周期 } T_e = 291.27\text{ }\mu\text{s}$$

$$\text{周波数 } f = 433.92\text{ MHz} \qquad \text{周期 } T_e = 291.27\text{ }\mu\text{s}$$

4. General Markdown & HTML Features Supported

3.1 Native BookStack Callout Alert Boxes

BookStack provides colored callout boxes for contextual notes:

<p class="callout info"><strong>Info Note:</strong> Background context and informational details.</p>
<p class="callout success"><strong>Success:</strong> Empirical zero-drift test passed with 0 samples drift.</p>
<p class="callout warning"><strong>Warning:</strong> Ensure Word Clock is 75Ω terminated on the final device.</p>
<p class="callout danger"><strong>Danger / Critical:</strong> Never run recursive find commands on host ul.</p>

Rendered Output:

Info Note: Background context and informational details.

Success: Empirical zero-drift test passed with 0 samples drift.

Warning: Ensure Word Clock is 75Ω terminated on the final device.

Danger / Critical: Never run recursive find commands on host ul.

3.2 Collapsible Details & Accordions

<details>
  <summary><strong>Click to expand technical registers</strong></summary>
  <p>Detailed hardware memory offsets and bitfields go here.</p>
</details>

Rendered Output:

Click to expand technical registers

Detailed hardware memory offsets and bitfields go here.

<p align="center">
  <a href="https://wiki.drheck.dev/uploads/images/gallery/2026-08/20260808-19h19m36s-grim.png" target="_blank">
    <img src="https://wiki.drheck.dev/uploads/images/gallery/2026-08/20260808-19h19m36s-grim.png" alt="BookStack Interface" width="55%" style="border-radius: 8px; box-shadow: 0 4px 12px rgba(0,0,0,0.15); display: block; margin: 0 auto;">
  </a>
  <em style="display: block; text-align: center; margin-top: 6px; font-size: 0.9em; color: #666;">Figure 1: Example styled gallery image with lightbox link</em>
</p>

Rendered Output:

Figure 1: Example styled gallery image with lightbox link

3.4 YouTube Video Embedding

BookStack supports direct HTML5 <iframe> embedding from YouTube. For optimal viewing across mobile phones, tablets, and desktop displays, responsive aspect-ratio wrappers, standard fixed dimensions, or thumbnail fallbacks can be used.

Note on Ad-Blockers: Standard youtube.com/embed/VIDEO_ID URLs are recommended. If using browser privacy extensions or adblockers (e.g. uBlock Origin), ensure third-party iframe embeds are permitted.

Method A: Styled & Mobile-Responsive Embed (Recommended)

Embed the player using explicit 16:9 pixel dimensions (640 × 360 or 560 × 315) combined with max-width: 100%, rounded borders, and drop shadows. The max-width: 100% inline rule ensures the player automatically scales down on smaller screens (such as mobile phones) without overflowing the page boundary horizontally:

<iframe width="640" height="360" src="https://www.youtube.com/embed/M7lc1UVf-VE" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" allowfullscreen style="border: 0; border-radius: 8px; box-shadow: 0 4px 12px rgba(0,0,0,0.2); max-width: 100%;"></iframe>

Rendered Output:

Method B: Raw YouTube Share Embed Snippet (Default Copy-Paste)

This is the default, unstyled iframe code copied directly from YouTube's Share $\rightarrow$ Embed modal (560 × 315). It uses fixed pixel dimensions without max-width: 100%, which maintains a strict fixed size on desktop, but may require horizontal scrolling on narrow mobile viewports:

<iframe width="560" height="315" src="https://www.youtube.com/embed/ApO4demUaLs?si=FTOsjdM6_M5ybmZp" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen></iframe>

Rendered Output:

Method C: Lightweight Thumbnail Link (Markdown Fallback)

When an active video iframe is not required or when optimizing for strict privacy environments, use a high-resolution YouTube video thumbnail with an external link:

[![Watch Video](https://img.youtube.com/vi/dQw4w9WgXcQ/hqdefault.jpg)](https://www.youtube.com/watch?v=dQw4w9WgXcQ)

Rendered Output:

5. Summary Guide for Authors & AI Agents

Math Formulas: Use standard $$ ... $$ for display equations and $ ... $ for inline math.
Avoiding Underscore Collisions: Multiple unescaped underscores in a formula (e.g. VAR_1 ... VAR_2) can trigger Markdown italics (<em>). Use hyphens (e.g. \text{DRATE-M}) or single subscripts (x_1) to prevent Markdown parser mangling.
Japanese / Furigana: Use <ruby>漢字<rt>かんじ</rt></ruby> in Markdown, or \text{...} in KaTeX equations.
Callout Boxes: Use <p class="callout info|success|warning|danger"> for styled alert banners.
Code Safety: Shell commands ($ sudo ...) inside <pre> or <code> code blocks are automatically preserved and never evaluated as math.
YouTube Embeds: Use <iframe src="https://www.youtube-nocookie.com/embed/VIDEO_ID" ...> inside a responsive 16:9 <div style="position: relative; padding-bottom: 56.25%;"> wrapper.

6. Addendum: System Configuration Changes Made to BookStack

To enable native, global TeX mathematical rendering across the wiki, the following configuration changes were applied to the BookStack service running on host ul:

1. Global KaTeX Injection (`app-custom-head`)

BookStack's global HTML head template was updated via the app-custom-head setting in the settings database table to inject KaTeX 0.16.11:

Stylesheet: <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.16.11/dist/katex.min.css">

Content Security Policy ('strict-dynamic') Loader: Because BookStack enforces a strict Content Security Policy (script-src http: https: 'nonce-...' 'strict-dynamic'), standard static <script> tags with onload attributes are blocked by the browser. A nonced inline JavaScript loader was installed to dynamically append the external scripts sequentially:

(function() {
    function loadScript(url, callback) {
        var el = document.createElement('script');
        el.src = url;
        el.async = false;
        el.onload = callback;
        document.head.appendChild(el);
    }
    function init() {
        loadScript('https://cdn.jsdelivr.net/npm/katex@0.16.11/dist/katex.min.js', function() {
            loadScript('https://cdn.jsdelivr.net/npm/katex@0.16.11/dist/contrib/auto-render.min.js', function() {
                var doRender = function() {
                    if (window.renderMathInElement) {
                        window.renderMathInElement(document.body, {
                            delimiters: [
                                {left: '$$', right: '$$', display: true},
                                {left: '$', right: '$', display: false}
                            ],
                            ignoredTags: ['script', 'noscript', 'style', 'textarea', 'pre', 'code', 'option'],
                            throwOnError: false
                        });
                    }
                };
                if (document.readyState === 'loading') {
                    document.addEventListener('DOMContentLoaded', doRender);
                } else {
                    doRender();
                }
            });
        });
    }
    init();
})();

2. Cache Invalidation

Whenever app-custom-head is modified in the database, BookStack's application view cache and compiled templates must be cleared inside the container:

sudo docker exec -w /app/www bookstack php artisan cache:clear
sudo docker exec -w /app/www bookstack php artisan view:clear

Revision #5
Created 2026-08-22 22:48:00 UTC by luKe
Updated 2026-10-04 20:53:01 UTC by luKe

Meta: Wiki Capabilities, TeX Math & Typography Reference

1. Mathematical Typography: KaTeX TeX Math Engine

Delimiters

Core TeX Math Examples & Cheat Sheet

1. Fractions, Exponents & Powers

2. Symbol Timing & Multi-Term Equations

3. Signal Flow & Daisy-Chains

4. Radicals, Integrals & Summations

5. Matrices & Linear Systems

6. Piecewise Functions & Cases

KaTeX vs. XeLaTeX: What Is and Is Not Supported

2. Comprehensive Symbol & Character Reference Tables

2.1 Units, Angles, Temperature & Physics Symbols

2.2 Complete Greek Alphabet Reference

2.3 Calculus, Operators & Matrix Formats

2.4 Logic, Set Theory & Relational Symbols

2.5 Arrows & Signal Flow Symbols

2.6 Typographic & Standard Wiki HTML Entities

3. Japanese Typography & Furigana (Ruby Text)

Furigana Syntax & Examples

Whole-Word Furigana

Per-Character Furigana (Fine-Grained Alignment)

Japanese Text Inside TeX Math Blocks

4. General Markdown & HTML Features Supported

3.1 Native BookStack Callout Alert Boxes

3.2 Collapsible Details & Accordions

3.3 Scaled Lightbox Images with Captions

3.4 YouTube Video Embedding

Method A: Styled & Mobile-Responsive Embed (Recommended)

Method B: Raw YouTube Share Embed Snippet (Default Copy-Paste)

Method C: Lightweight Thumbnail Link (Markdown Fallback)

5. Summary Guide for Authors & AI Agents

6. Addendum: System Configuration Changes Made to BookStack

1. Global KaTeX Injection (app-custom-head)

2. Cache Invalidation

1. Global KaTeX Injection (`app-custom-head`)