derive-formula

What problem does it solve?

This Skill helps users understand where physics formulas come from by providing rigorous derivations instead of only presenting final results.

Core Features & Use Cases

• Step-by-Step Derivations: Builds formulas from fundamental principles such as Newton's laws, Maxwell's equations, conservation laws, and mathematical identities.
• Physics Reasoning Guidance: Explains physical intuition, assumptions, approximations, and the meaning of each term in a derived expression.
• Validation Checks: Reviews dimensional consistency, limiting cases, and physical reasonableness after completing a derivation.
• Use Case: A student learning electromagnetism can ask for the derivation of a field equation and receive the full mathematical path from governing principles to the final formula.

Quick Start

Ask the derive-formula skill to rigorously derive a physics formula from its fundamental principles and explain every step.