decomposing-complex-problems
Deconstructs complex problems using the 'Polymath Investor' framework with a 5-step cognitive chain (First Principles → Modular Isolation → Pareto Filtering → Cross-Domain Mapping → Dynamic Zooming). Use when analyzing systems, architectures, businesses, or learning challenges; when seeking high-leverage insights or 'Alpha'; when applying first principles thinking; or when needing cross-disciplinary perspectives to reveal blind spots. Transforms overwhelming complexity into actionable levers.
deep-analysis
Execute high-density architectural analysis on user ideas. Move from 'Vague' to 'Verified' using a 5-step logic chain: Calibration → Decomposition → Excavation → Re-Architecting → Inversion. This skill should be used when analyzing system architecture, validating technical ideas, or performing pre-mortems on solutions.
nexus-prompt-engineer
4-D prompt engineering assistant that transforms vague requirements into high-precision prompts through guided interaction. Trigger when users need to: (1) craft high-quality system prompts, (2) optimize existing prompts, (3) use '/fast' for quick generation or '/audit' for prompt review. Applicable to any scenario requiring carefully designed prompts.
round-table-analysis
Deep pre-execution analysis framework using four philosophers (Socrates, Aristotle, Feynman, Drucker) for structured critical thinking before implementing plans. Use when users need to thoroughly understand a topic, question assumptions, clarify objectives, or explore multiple perspectives before taking action. Triggered by phrases like "help me think through," "analyze this topic," "before we start," "I want to understand," or when complex decisions require deeper exploration.