Identify minimal independent generators underlying a domain and validate four criteria.
npx skills add https://github.com/lightxue/dotfiles --skill ljg-rank
Please help me install this Agent Skill. Skill: ljg-rank Source: https://github.com/lightxue/dotfiles/tree/main/agent/skills/ljg-rank Command: npx skills add https://github.com/lightxue/dotfiles --skill ljg-rank
This skill helps identify the minimal, independent generators that underlie a domain and demonstrates how to reconstruct all observed phenomena from them, enabling clear explanations and efficient communication.
Provide a concise description of a domain and request the engine to determine its rank using the four criteria.
High-intent search queries and answers about installing and using this skill.
Domain decomposition identifies the minimal set of independent generators underlying a field and demonstrates they can reproduce all observed phenomena. It reduces complex systems to their core elements for clearer analysis and explanation.
To analyze a domain, propose a set of generators and explicitly test them against four criteria: generativity, minimality, independence, and predictive power. This validates that the set can reproduce all observed phenomena.
Generator rank analysis explains complex domains by validating the four criteria within an accessible narrative. This proves the minimal generator set reproduces all phenomena, communicating findings efficiently across diverse fields.
Yes, you can apply domain decomposition across diverse disciplines to simplify complex domains and guide teaching or research. It requires explicit methods for proposing generators and testing their predictive power.
To determine a domain's rank, provide a concise description of the domain and request the engine to evaluate it. The engine will test proposed generators for generativity, minimality, independence, and predictive power.
The approach requires explicit methods for proposing generators and rigorously testing their independence and predictive power. Complex domains may resist reduction if observed phenomena cannot be cleanly reconstructed from a minimal set.
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