derive-formula

Derive physics formulas from fundamental principles with step-by-step explanations.

Updated Jun 18, 2026
One-click install
npx skills add https://github.com/zzr2718281828/claude-physics --skill derive-formula
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: derive-formula
Source: https://github.com/zzr2718281828/claude-physics/tree/main/.claude/skills/derive-formula
Command: npx skills add https://github.com/zzr2718281828/claude-physics --skill derive-formula

SYSTEM DOCUMENTATION & REQUIREMENTS

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.

Frequently Asked Questions about derive-formula

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

FAQPage Schema
How do I derive physics formulas from first principles step by step?

Deriving physics formulas from first principles requires building equations from fundamental laws like Newton's laws or Maxwell's equations. This process structures derivations with defined assumptions, intermediate mathematical steps, physical interpretations, and consistency checks.

What is the best way to show mathematical steps behind physics equation proofs?

The best way to show mathematical steps behind physics equation proofs is to follow a structured derivation workflow. This approach builds formulas from fundamental principles and explains the physical intuition, assumptions, approximations, and the meaning of each term in the derived expression.

Can I get a full formula derivation for electromagnetism field equations from Maxwell's equations?

Yes, you can request the full mathematical path from governing principles to the final formula for electromagnetism. The derivation starts from fundamental principles like Maxwell's equations and rigorously explains every mathematical step required to reach the final field equation.

How do you check dimensional consistency and limiting cases after deriving a physics equation?

Checking dimensional consistency and limiting cases after deriving a physics equation involves performing validation checks. This step reviews the physical reasonableness of the derived expression by verifying that units match and that the formula behaves correctly under approximation analysis and extreme conditions.

Why does a physics formula derivation require stating assumptions and approximations?

Physics formula derivations require stating assumptions and approximations to explain physical intuition and validate the mathematical steps. Explicitly defining these constraints ensures the derivation workflow remains consistent and clarifies the specific conditions under which the final equation is valid.

Does this approach to formula derivation work for both classical mechanics and electromagnetism?

Yes, this formula derivation approach applies to both classical mechanics and electromagnetism. It derives equations from fundamental principles across various physics education scenarios, including formula proofs, textbook derivations, and approximation analysis for multiple domains.