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.