Task 052: Math Formula Rendering (KaTeX)

Status: DONE (completed 2026-02-24)

Motivation

Human directive: 数式はいいかんじにレンダリングされてほしい。

Reports contain ΔV formulas, vis-viva equations, Tsiolkovsky equation, etc. that currently render as plain text.

Scope

1. Add KaTeX CSS + JS to report layout (CDN or bundled)
2. Update markdownToHtml to detect and render math blocks ($...Update markdownToHtml to detect and render math blocks ( inline, $...$` display)
3. Audit existing reports for formulas that should use KaTeX
4. Write tests for math rendering in markdown

Implementation Summary

• KaTeX v0.16.21 loaded from CDN (CSS + JS + auto-render contrib)
• extractMath() function protects $...extractMath() function protects and $...$ from HTML escaping in inlineFormat()`
• Display math $...$ on standalone lines handled at block level in markdownToHtml()
• boundaryCondition, verification table reference/source, and comparison table cells now use inlineFormat() for math support
• Converted formulas in: ep01 (3), ep02 (3), ep03 (1), ep04 (1), ep05 (1), science-accuracy (4), cross-episode (5)
• 8 new tests added for math rendering
• All 911 TS tests + 110 Rust tests pass; site builds successfully

Notes

• KaTeX is lighter than MathJax, better suited for static sites
• Must work with existing WASM calculator pages