formula-derivation

Structure research formulas into a coherent derivation package.

Updated May 25, 2026
One-click install
npx skills add https://github.com/duypham2801/ThS_LLM --skill formula-derivation-duypham2801
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: formula-derivation
Source: https://github.com/duypham2801/ThS_LLM/tree/main/.claude/skills/formula-derivation
Command: npx skills add https://github.com/duypham2801/ThS_LLM --skill formula-derivation-duypham2801

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This Skill helps you organize and derive research formulas when your target is still ambiguous or your theory notes don’t yet connect into a logically coherent derivation.

Core Features & Use Cases

  • Derivation package structuring: Converts scattered equations, assumptions, and notation into a paper-ready theory line document with explicit “what depends on what.”
  • Object + assumptions stabilization: Chooses a single invariant top-level object and normalizes assumptions/notation so the derivation doesn’t silently drift.
  • Honest coherence gating: Produces either a coherent derivation, a reframed one with corrected scope, or a blocker report explaining what is missing.

Quick Start

Ask the AI to build a coherent derivation package for your current formula goal using your existing notes and to write it into DERIVATION_PACKAGE.md.

Frequently Asked Questions about formula-derivation

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

FAQPage Schema
How do I structure a coherent derivation from messy theory notes and partial equations?

A derivation package stabilizes ambiguous research formulas by selecting a single invariant object, normalizing assumptions and notation, and classifying each derivation step as identity, proposition, approximation, or interpretation to prevent silent theoretical drift.

Can I convert scattered formula sketches into a logical derivation narrative for thesis writing?

Yes, you can convert scattered formula sketches into a logical derivation narrative by requiring explicit freezing of the invariant object and writing classified derivation steps into a chosen file template with coherence verification to ensure research rigor.

What happens if my theory documentation has missing assumptions or unfixed notation?

If your theory documentation has missing assumptions or unfixed notation, the process performs honest coherence gating to produce either a reframed derivation with corrected scope or a blocker report explaining exactly what is missing.

How do I normalize assumptions and notation to prevent silent drift during formula derivation?

You normalize assumptions and notation to prevent silent drift during formula derivation by explicitly freezing a single invariant top-level object, which stabilizes the theoretical scope before classifying and writing each derivation step.

When should I avoid using an automated derivation structuring approach for research formulas?

You should avoid automated derivation structuring when your target object is fully fixed, assumptions are completely normalized, and your theory notes already connect into a logically coherent derivation without requiring scope stabilization or coherence gating.