formula-derivation

Structure and derive research formulas into a coherent derivation package.

Updated May 20, 2026
One-click install
npx skills add https://github.com/lightrain-a/medtrace-aris --skill formula-derivation-lightrain-a
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: formula-derivation
Source: https://github.com/lightrain-a/medtrace-aris/tree/main/.vendor/aris/skills/formula-derivation
Command: npx skills add https://github.com/lightrain-a/medtrace-aris --skill formula-derivation-lightrain-a

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This Skill helps you transform scattered equations, assumptions, and rough theory notes into a coherent, derivation-ready research theory line—so your work reads like a real argument instead of a polished but unsupported story.

Core Features & Use Cases

  • Derivation package construction: Produces a structured derivation document that is coherent with the original target, or reframes it when the object/assumptions are inconsistent.
  • Invariant object and assumption normalization: Forces a single organizing quantity/object and cleanly restates assumptions, symbols, and scope before any derivation proceeds.
  • Step classification and derivation mapping: Labels nontrivial steps as identities, propositions, approximations, or interpretations, and records where each type of step and each approximation enters.

Quick Start

Ask the AI to create a coherent derivation package for your current formula chain by choosing the correct invariant object, freezing the target, normalizing assumptions, and writing the result to 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 scattered theory notes into a coherent derivation?

To structure scattered theory notes into a coherent derivation, you need to normalize assumptions, select an invariant object, freeze the target, and classify steps before writing to a derivation file.

What is assumption normalization when deriving research formulas?

Assumption normalization is the process of cleanly restating assumptions, symbols, and scope to resolve inconsistencies before any derivation proceeds, ensuring a single organizing quantity governs the formulas.

How do I reframe ambiguous theory lines for a research derivation?

To reframe ambiguous theory lines, you must identify a consistent invariant object and restate the target. This reframing ensures the derivation package aligns logically rather than reading like an unsupported story.

What is the best way to label nontrivial steps in a mathematical derivation?

The best way to label nontrivial steps in a derivation is to classify them as identities, propositions, approximations, or interpretations, explicitly recording where each approximation enters the theory line.

Can I use this workflow if my derivation target and scope are not yet fixed?

Yes, this workflow specifically applies to cases where the derivation target, object, or scope is not yet fixed. It reframes inconsistent theory lines and enforces target freezing before proceeding.

Why does my research theory line read like an unsupported story instead of an argument?

Your theory line reads like a story because scattered equations lack a structured derivation. You need to enforce deterministic workflows like target freezing and step classification to build a coherent argument.