AgentSkillsCN

analyze-equations

从科研论文中解析并解读数学公式,尤其在将公式应用于实际开发时,这一技能尤为实用。

SKILL.md
--- frontmatter
name: analyze-equations
description: "Parse and interpret mathematical equations from research papers. Use when extracting formulas for implementation."
mcp_fallback: none
category: analysis
tier: 2

Analyze Equations

Extract and parse mathematical equations from research papers to understand computational requirements and implementation details.

When to Use

  • Converting paper formulas to code implementations
  • Understanding algorithm mathematical foundation
  • Identifying performance-critical computations
  • Planning SIMD optimization strategies

Quick Reference

bash
# Extract LaTeX equations from PDF
pdftotext -layout paper.pdf - | grep -E '\$\$|\\begin\{equation\}' | head -20

Workflow

  1. Extract equations: Identify and extract LaTeX/mathematical notation from source documents
  2. Parse components: Break down complex equations into primitive operations
  3. Identify variables: Document input parameters, intermediate values, output
  4. Determine data types: Specify scalar vs vector operations, precision requirements
  5. Map to implementation: Connect mathematical notation to code operations (matrix multiply, activation, etc.)

Output Format

Mathematical analysis document:

  • Extracted equations (with source references)
  • Component breakdown (operands, operations)
  • Variable definitions and constraints
  • Data type requirements (float32, float64, int32)
  • Mojo implementation mapping

References

  • See CLAUDE.md > Language Preference for Mojo ML implementations
  • See extract-algorithm skill for algorithmic interpretation
  • See /notes/review/mojo-ml-patterns.md for Mojo tensor operations