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Agent Skills Catalog

Zero-CDN HTML Mathematical Typography Cheatsheet

keywords plugin keywords, from plugin.json
  • readme
  • changelog
  • technical-writing
  • git-recap
  • editorial-report
  • arxiv-preprint
  • syntaxis
  • typst
skill derived
editorial-report-artifact
plugin derived
Repository Authoringrepo-authoring
conformance derived from plugin.json $schema
Targets Agent Plugins 1.0.0.
source derived
plugins/repo-authoring/skills/editorial-report-artifact/references/html-math-cheatsheet.md

A reference of skill editorial-report-artifact (in plugin repo-authoring). The title above is this file's own H1, extracted, not composed.

Why Offline Semantic HTML Math Beats CDN Scripts

Standalone HTML experiment records are frequently opened directly via file://, attached to emails or patent disclosures, or viewed in air-gapped environments where external CDNs (KaTeX, MathJax) are blocked or cause layout shift.

When an agent synthesizes content from Markdown .md files into .html, the #1 failure mode is Markdown-to-HTML bleed: raw $...$ LaTeX macros (\tilde{H}_m, \ln|\mathcal{V}_m|, \implies, \ge, \tau) or inline Markdown backticks (`code`) left unparsed inside HTML paragraphs.

Mandate: Always style inline formulas with <span class="math">...</span> and display equations inside <pre class="code">... using Unicode combining marks, <i>, <sub>, <sup>, and HTML entities.

CSS Rule for .math

.math {
  font-family: "STIX Two Math", "Cambria Math", "Times New Roman", Georgia, serif;
  font-size: 1.03em;
  white-space: nowrap;
  color: var(--slate);
}
.math i { font-style: italic; }
.math sub { font-size: 0.76em; vertical-align: -0.18em; }
.math sup { font-size: 0.76em; vertical-align: 0.35em; }

LaTeX-to-HTML Lookup Table

LaTeX Expression Offline Semantic HTML (.math) Visual Output
$\tilde{H}_m$ <span class="math"><i>H&#771;</i><sub><i>m</i></sub></span> H̃m
$\tilde{H}_m = H_m / \ln|\mathcal{V}_m|$ <span class="math"><i>H&#771;</i><sub><i>m</i></sub> = <i>H</i><sub><i>m</i></sub> / ln|<i>V</i><sub><i>m</i></sub>|</span> H̃m = Hm / ln|Vm|
$\hat{y}_m$ <span class="math"><i>y&#770;</i><sub><i>m</i></sub></span> ŷm
$p_{m,k}$ <span class="math"><i>p</i><sub><i>m,k</i></sub></span> pm,k
$z_{m,k}$ <span class="math"><i>z</i><sub><i>m,k</i></sub></span> zm,k
$|\mathcal{V}_m| = K_m$ <span class="math">|<i>V</i><sub><i>m</i></sub>| = <i>K</i><sub><i>m</i></sub></span> |Vm| = Km
$\tau = 0.16$ <span class="math">&tau; = 0.16</span> τ = 0.16
$H_m \ge 0.35\text{ nats}$ <span class="math"><i>H</i><sub><i>m</i></sub> &ge; 0.35 nats</span> Hm ≥ 0.35 nats
$\tilde{H}_m < 0.160$ <span class="math"><i>H&#771;</i><sub><i>m</i></sub> &lt; 0.160</span> H̃m < 0.160
$\in [0, 1]$ <span class="math">&in; [0, 1]</span> ∈ [0, 1]
$\implies$ <span class="math">&rArr;</span> ⇒
$\to$ <span class="math">&rarr;</span> →
$O(1)$ / $O(L)$ <span class="math"><i>O</i>(1)</span> / <span class="math"><i>O</i>(<i>L</i>)</span> O(1) / O(L)
$\mathbb{E}[v] = \sum_k v_k \cdot p_k$ <span class="math">E[<i>v</i>] = &Sigma;<sub><i>k</i></sub> <i>v</i><sub><i>k</i></sub> &middot; <i>p</i><sub><i>k</i></sub></span> E[v] = Σk vk · pk
$\Delta H$ <span class="math">&Delta;<i>H</i></span> ΔH

Combining Diacritical Marks for Mathematical Accents

  • Tilde (\tilde{x}): Append &#771; (U+0303) immediately after the base character inside <i>: <i>H&#771;</i> → H̃
  • Hat (\hat{x}): Append &#770; (U+0302) immediately after the base character inside <i>: <i>y&#770;</i> → ŷ
  • Bar / Mean (\bar{x}): Append &#772; (U+0304) immediately after the base character inside <i>: <i>x&#772;</i> → x̄