math-reasoning

Derive equations, prove theorems, and generate LaTeX-ready mathematical notation.

Updated Apr 23, 2026
One-click install
npx skills add https://github.com/Embers-of-the-Fire/agent-research-skills-opencode --skill math-reasoning
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: math-reasoning
Source: https://github.com/Embers-of-the-Fire/agent-research-skills-opencode/tree/main/.opencode/skills/math-reasoning
Command: npx skills add https://github.com/Embers-of-the-Fire/agent-research-skills-opencode --skill math-reasoning

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes references (resource) components.

What problem does it solve?

Formal mathematical reasoning for research papers — derive equations, write proofs, formalize problem settings, select statistical tests, and generate LaTeX math notation.

Core Features & Use Cases

  • Derive step-by-step equations with justification and equation numbering.
  • Prove theorems using direct, contradiction, induction, or constructive methods.
  • Formalize informal problem statements into variables, domains, and assumptions.
  • Generate LaTeX notation tables and standard environments for manuscripts.

Quick Start

Ask it to derive a specific equation and provide a LaTeX-ready proof.

Frequently Asked Questions about math-reasoning

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I derive equations with step-by-step justifications for a research paper?

Derive equations by producing rigorous, step-by-step mathematical derivations with full justifications and equation numbering. The output is formatted as LaTeX-ready notation suitable for direct integration into research manuscripts.

Can I formalize informal problem statements into variables, domains, and assumptions?

Formalize informal problem statements by translating them into structured variables, domains, and assumptions. This process clarifies the mathematical foundation of the problem, making it ready for rigorous proofs and derivations.

What is the best way to write mathematical proofs using direct, contradiction, or induction methods?

Write mathematical proofs using direct, contradiction, induction, or constructive methods to establish theorems rigorously. The proofs are generated in LaTeX-style notation, satisfying standard templates and symbol definitions.

How do I select appropriate statistical tests and generate LaTeX notation tables?

Select appropriate statistical tests by matching test requirements to your formalized problem parameters. Generate LaTeX notation tables and standard environments to define symbols and present equations clearly within your manuscript.

Does this approach work for generating LaTeX math notation for research papers?

Yes, generating LaTeX math notation for research papers is the primary function. It outputs LaTeX-style notation, equation numbering, and standard templates to satisfy formal manuscript requirements.