Render a LaTeX equation to SVG or PNG via UpMath. Returns SVG markup or saves to file.

Render a TikZ diagram to SVG or PNG. Supports tikz, pgfplots, circuitikz, tikz-3dplot.

Render multiple LaTeX equations at once, saving each to a file.

Check if LaTeX syntax is valid by attempting to render it.

Get the UpMath URL for a LaTeX expression (for embedding in HTML/markdown).

Render markdown containing $$...$$ LaTeX to HTML with embedded SVG equations.

Render a full markdown paper with $$...$$ LaTeX to a publication-ready HTML file. Uses KaTeX for standard math (fast, client-side) and falls back to UpMath API for TikZ/special packages. Handles headings, bold, italic, lists, tables, and code blocks.

Scan a markdown file for all LaTeX math. Returns: equation inventory with numbering, symbol frequency table, notation index, and cross-reference validation. Essential for maintaining consistency in scientific papers.

Extract all mathematical notation from a markdown file and generate a formatted notation table (symbol, meaning, first appearance). Useful for creating a 'Notation' section in a paper.

Validate all equations in a markdown file: check LaTeX syntax via UpMath, report render errors, and flag potential issues (unmatched braces, undefined commands). Slower than scan_document_math but verifies renderability.

List all available TikZ diagram templates with descriptions.

Render a pre-built TikZ diagram template with custom parameters. Templates: control-system, neural-network, state-machine, bayesian-network, signal-flow, data-plot, commutative-diagram.

Render multiple equations with caching — skips re-rendering unchanged equations. Much faster for iterative editing. Cache persists within the MCP session.

Render two versions of a LaTeX equation side by side for visual comparison. Returns an HTML page with both versions.

Render a parameterized equation across a grid of values, producing an HTML comparison page. Useful for exploring how changing coefficients affects formulas. Use {PARAM} as placeholder in the LaTeX template.

Render a collection of named equations into a single reference sheet HTML page. Useful for creating equation cheat sheets or appendix summaries.