formula-derivation

Compile scattered theory notes into a coherent derivation package.

1|Updated Mar 26, 2026

Search Tags:#assumptions #derivation #notation #theory #research-notes #paper-writing

Ready to run

npx skills add https://github.com/Lingrongye/federated-learning --skill formula-derivation-lingrongye

💬 Prompt for ChatGPT / Claude Chat▼

Please help me install this Agent Skill.
Skill: formula-derivation
Source: https://github.com/Lingrongye/federated-learning/tree/main/Auto-claude-code-research-in-sleep/skills/formula-derivation
Command: npx skills add https://github.com/Lingrongye/federated-learning --skill formula-derivation-lingrongye

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This skill helps researchers turn scattered theory notes and partial derivations into a single, coherent derivation package that can support paper-writing or theory validation.

Core Features & Use Cases

Structure and derive research formulas from tentative targets, assumptions, and notation.
Compile multiple drafts into a consistent theory line that can be refined, reframed, or extended.
Produce a complete derivation document (DERIVATION_PACKAGE.md) that is ready for review or publication.
Use cases include when the target formula is not yet fixed, or you need a coherent derivation package rather than scattered notes.

Quick Start

Provide your target phenomenon or formula and any existing notes or rough derivations, along with explicit assumptions, and I will generate a coherent derivation package.

Frequently Asked Questions about formula-derivation

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

FAQPage Schema

How do I turn scattered theory notes into a coherent derivation for paper-writing?▼

Structure scattered research notes into a coherent derivation package by enforcing explicit inputs, stable invariant objects, and clearly labeled steps with a derivation map for theory validation.

What is the best way to formalize a research formula when the target phenomenon is not yet fixed?▼

Formalize an unfixed target formula by structuring tentative targets, assumptions, and notation into a consistent theory line that can be refined, reframed, or extended into a complete derivation document.

Can I use this approach to compile multiple rough derivation drafts into one consistent theory line?▼

Yes, you can compile multiple rough derivation drafts into a single consistent theory line that enforces explicit assumptions and produces a stable invariant object for research tasks.

Do I need explicit assumptions and notation to start structuring a derivation package?▼

Yes, providing explicit assumptions and existing notation alongside your target phenomenon or rough derivations is required to generate a coherent derivation package with clearly labeled steps.

When should I avoid using a formalized derivation package for my research notes?▼

Avoid using a formalized derivation package when your research task has a fixed target phenomenon or when you need quick informal calculations rather than a structured document with a derivation map.