formula-derivation

Organize scattered formula notes into paper-ready derivation packages with labeled step types.

2|Updated Aug 12, 2025
One-click install
npx skills add https://github.com/goupup-ai/miccai25 --skill formula-derivation-goupup-ai
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: formula-derivation
Source: https://github.com/goupup-ai/miccai25/tree/main/ARIS/skills/formula-derivation
Command: npx skills add https://github.com/goupup-ai/miccai25 --skill formula-derivation-goupup-ai

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This Skill solves the common research pain point of scattered, incoherent formula notes and unclear derivation logic that cannot be directly used for academic paper theory sections, saving researchers significant time reorganizing and refining their theoretical work.

Core Features & Use Cases

  • Coherent Derivation Packaging: Organizes scattered formulas, messy notes, and informal theory sketches into structured, logically consistent derivation packages.
  • Assumption & Notation Normalization: Identifies and standardizes ambiguous assumptions, undefined notation, and hidden scope boundaries to ensure derivation consistency.
  • Step Classification & Honest Labeling: Correctly classifies each derivation step as identity, proposition, approximation, or interpretation to avoid overclaiming and maintain academic rigor.
  • Use Case: A researcher working on the FMC-Net vertebrae segmentation model has messy notes on the wavelet downsampling loss function with scattered equations and unclear assumptions; this Skill can turn those notes into a structured, paper-ready derivation document with explicit step labels and stated boundaries.

Quick Start

Use the formula-derivation skill to organize my scattered notes on the high-frequency feature refinement module's mathematical formulation into a coherent derivation package for my MICCAI 2025 paper submission.

Frequently Asked Questions about formula-derivation

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

FAQPage Schema
How do I organize messy research notes into a formal mathematical derivation for an academic paper?

To organize messy research notes into a formal mathematical derivation, convert scattered formulas and informal theory sketches into structured derivation packages with explicitly labeled step types, stated assumptions, and clear logical boundaries for academic writing.

What is the best way to normalize assumptions and notation for a theory section in research writing?

Normalizing assumptions and notation for research writing involves identifying ambiguous assumptions, standardizing undefined notation, and clarifying hidden scope boundaries to ensure mathematical consistency throughout your formal derivation document.

How do I classify equation derivation steps to avoid overclaiming in academic writing?

Classifying equation derivation steps correctly labels each mathematical progression as an exact identity, proposition, approximation, or interpretation, avoiding overclaiming and maintaining academic rigor in your theory construction.

Can I convert informal mathematical sketches into a coherent theory line for publication?

Yes, you can convert informal mathematical sketches into a coherent theory line by packaging scattered equations into logically consistent derivation documents, explicitly distinguishing exact identities from subjective interpretations for publication readiness.

When should I use structured formula derivation packaging for my research theory construction?

Use structured formula derivation packaging for research theory construction when you have scattered formula notes, require mathematical derivation, need assumption normalization, and want to convert informal notes into formal derivation documents for academic writing.