formula-derivation

Structure scattered equations and assumptions into a coherent derivation package.

1|1|Updated May 19, 2026
One-click install
npx skills add https://github.com/zhuyingqin/ARIS-WEB --skill formula-derivation-zhuyingqin
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: formula-derivation
Source: https://github.com/zhuyingqin/ARIS-WEB/tree/main/crates/runtime/assets/skills/formula-derivation
Command: npx skills add https://github.com/zhuyingqin/ARIS-WEB --skill formula-derivation-zhuyingqin

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes assets (resource) components.

What problem does it solve?

formula-derivation helps you transform scattered equations, assumptions, and half-formed theory notes into a logically consistent research derivation package when the main object or scope is still unclear.

Core Features & Use Cases

  • Derivation Package Construction: Builds a structured document (default DERIVATION_PACKAGE.md) containing target, invariant object, assumptions, notation, derivation map, and main steps.
  • Scope Reframing When Needed: Produces either a coherent derivation as stated, or a reframed coherent derivation after correcting object/assumptions/scope.
  • Blocker Reporting: When coherence cannot be achieved honestly, outputs a blocker report explaining what’s missing or inconsistent before proof-level work.

Quick Start

Ask the skill to derive your target formula by organizing your assumptions and producing a paper-ready derivation package in 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 turn scattered math notes and assumptions into a coherent formula derivation?

To build a coherent formula derivation, you select a target file and normalize scattered equations, assumptions, and notation. The skill freezes target interpretation and outputs a structured derivation package in DERIVATION_PACKAGE.md.

What is the best way to manage notation and scope when writing theory for a research paper?

Managing notation and scope for research paper theory requires preserving stable notation and labeling identities, propositions, and approximations. This process updates your derivation map and boundaries to ensure logical consistency.

How do I structure a derivation package when the invariant object or target formula is unclear?

When your invariant object or derivation target is unclear, you apply scope reframing to correct assumptions and interpretations. This maps a derivation strategy and produces either the stated coherent derivation or a reframed one.

What happens when my half-formed theory notes cannot achieve logical consistency for a derivation?

When logical consistency cannot be achieved honestly, the derivation process outputs a blocker report. This report identifies missing variables or inconsistent assumptions before any proof-level work begins.

Can I use this for physics and math theory writing workflows?

Yes, you can use this for math, physics, and theory writing workflows. It structures research methodology by mapping derivation strategies and normalizing assumptions into a paper-ready output document.

Why does my research derivation need assumption normalization and a derivation map?

Assumption normalization and a derivation map are needed to freeze target interpretation and define boundaries. This prevents logical errors by ensuring all identities, propositions, and approximations are explicitly labeled.