Color theory principles for art education. Covers the three color properties (hue, saturation, value), color mixing systems (subtractive and additive), color relationships (complementary, analogous, triadic, split-complementary), color temperature, simultaneous contrast and the relativity of color perception, and practical palette construction. Use when analyzing color in artworks, planning color schemes, understanding optical phenomena in painting, or investigating Albers's Interaction of Color experiments.

Classical orbital mechanics from Kepler to Hohmann. Covers the six orbital elements, Kepler's three laws, vis-viva, orbit types (circular, elliptical, parabolic, hyperbolic), transfer orbits, gravity assists, the two-body problem, and practical methods for computing ephemerides. Use when reasoning about planet motion, spacecraft trajectories, comet orbits, exoplanet transits, or binary star dynamics.

Service architecture is the discipline of decomposing a large system into cooperating services with explicit contracts, operational boundaries, and failure isolation. The goal is not to have as many s

Interpersonal communication theory and practice for one-on-one and small group interaction. Covers communication models (linear, transactional, constructivist), self-disclosure and Johari Window, relational dialectics, communication climate, supportive versus defensive communication, feedback models, and adapting style across relationships and contexts. Use when analyzing communication dynamics, improving relationships, giving feedback, or understanding communication breakdowns between individuals.

Being a constructive participant in networked communities. Covers digital footprint management, online etiquette and professional communication, collaborative tools, attribution and copyright, cyberbullying recognition and response, and the responsibilities that come with amplification. Use when helping learners think about how to behave online -- not what is technically allowed, but what is actually healthy for themselves and their communities.

Physical principles underlying diodes, bipolar junction transistors, and MOSFETs — carrier concentrations, drift and diffusion, the pn junction, forward and reverse bias, the Shockley diode equation, BJT operating regions, MOSFET threshold and saturation, small-signal models, and temperature effects. Use when reasoning about device-level behavior, designing bias networks, selecting transistor operating points, interpreting datasheets, or diagnosing nonlinear device failures.

Carbon, nitrogen, phosphorus, sulfur, and water cycles — pools, fluxes, residence times, and anthropogenic perturbations. Covers the fast and slow carbon cycles, the Haber-Bosch disruption of the nitrogen cycle, the phosphorus bottleneck, the hydrological cycle, ocean acidification, and the planetary boundaries framework. Use when tracking chemical elements through atmosphere, hydrosphere, biosphere, and lithosphere; computing pool sizes and fluxes; or evaluating anthropogenic perturbations to global cycles.

Designing interventions, systems, and policies for sustainability. Covers renewable energy (solar, wind, hydro, geothermal), sustainable agriculture (agroecology, permaculture, integrated pest management), conservation strategies (protected areas, corridors, rewilding), lifecycle analysis, circular economy principles, and policy instruments (carbon pricing, cap-and-trade, regulation). Use when evaluating or designing interventions that aim to reduce environmental impact while maintaining human well-being.

Triggers for automatically invoking the decision-framework skill before irreversible or high-blast-radius operations. Use as a checkpoint: when a proposed action matches a trigger pattern, pause and run the appropriate framework (first-principles, inversion, decision matrix, second-order thinking) before proceeding. Prevents ad-hoc calls from becoming regret.

Carol Dweck's *Mindset: The New Psychology of Success* (2006) reframed a long-running thread of educational-psychology research on "implicit theories of intelligence" into a vocabulary teachers could

LaTeX document authoring with arXiv submission best practices, Overleaf patterns, and academic publishing conventions.

Aural skills development covering interval recognition, chord quality identification, rhythmic and melodic dictation, sight-singing, and progressive pedagogy. Covers the Kodaly method (hand signs, relative solmization, singing-first approach), interval identification strategies, chord quality and inversion recognition, harmonic dictation, solfege systems (fixed-do vs. movable-do), Gordon's Music Learning Theory, Suzuki method principles, and structured difficulty sequencing. Use when developing listening skills, practicing dictation, preparing sight-singing, or designing ear training curricula.

Harmonic analysis, voice leading, chord function, and modulation techniques for tonal music. Covers triads, seventh chords, Roman numeral analysis, figured bass, voice leading rules, cadence types, secondary dominants, modulation techniques, chromatic harmony (Neapolitan, augmented sixth chords), jazz lead sheet notation, and functional vs. linear harmonic thinking. Use when analyzing chord progressions, writing voice leading, identifying key areas, or interpreting harmonic function in any tonal style.

Nutrition as a scientific discipline is young. The first controlled trial in the history of medicine is James Lind's 1747 scurvy experiment aboard HMS Salisbury, in which he assigned pairs of sailors

Northbridge coordination pattern for multi-agent orchestration. Creates convoys, dispatches work via sling, monitors progress, and handles escalations. Never executes work directly.

Provides FinOps practices for cloud cost optimization, budget management, and resource rightsizing. Use when analyzing cloud spend, optimizing costs, or when user mentions 'finops', 'cloud cost', 'rightsizing', 'budget', 'cost allocation', 'reserved instance', 'spot instance', 'showback', 'chargeback'.

Provides GitOps best practices for ArgoCD, Flux, Argo Rollouts, and progressive delivery strategies. Use when setting up GitOps workflows, configuring continuous delivery, managing Kubernetes deployments declaratively, or when user mentions 'gitops', 'argocd', 'flux', 'progressive delivery', 'reconciliation', 'argo rollouts', 'canary', 'sealed secrets'.

Political philosophy from social contract theory to global justice. Covers the social contract (Hobbes, Locke, Rousseau, Rawls), theories of justice (Rawls, Nozick, Sen), liberty (positive/negative), rights (natural, human, civil), democracy and governance, communitarianism, feminism as political philosophy, Confucian political philosophy (ren, li, rectification of names), anarchism, Marxism, postcolonial philosophy, and cosmopolitanism. Use when analyzing political institutions, rights, justice, freedom, governance, or the legitimacy of authority.

Quantum mechanics from wave-particle duality through entanglement and measurement. Covers the photoelectric effect, de Broglie wavelength, Heisenberg uncertainty principle, the Schrodinger equation (time-dependent and time-independent), wave functions and probability, quantum states and superposition, the hydrogen atom (energy levels, quantum numbers), spin, Pauli exclusion principle, quantum tunneling, Feynman path integrals (conceptual), QED basics, entanglement (Bell's theorem), the measurement problem, and Dirac notation. Use when analyzing phenomena at atomic or subatomic scales where classical physics breaks down.

Agile and Lean software development methodologies for iterative, adaptive project execution. Covers Scrum (roles, ceremonies, artifacts), Kanban (WIP limits, flow metrics), XP (TDD, pair programming, CI), SAFe overview, Lean Software Development (Poppendieck's 7 principles), user stories (INVEST criteria), estimation via story points and velocity, and the Agile Manifesto's values and principles. Includes Cynefin framework for methodology selection and GSD's relationship to Agile as a structured Lean variant.

A postmortem is the work product that converts an incident from a surprise into learning. A *blameless* postmortem does this without punishing the people closest to the incident — not because punishme

Fact-checking and source verification workflow for research documents. Launches parallel fact-checkers, aggregates findings, applies corrections systematically.

Design heuristics for three-dimensional interaction — input modalities (6DoF controllers, gaze, gesture, voice), selection and manipulation techniques (ray-cast, virtual hand, go-go, world-in-miniature), navigation (teleport, continuous, redirected walking), and feedback loops (haptic, audio, visual). Covers Fitts' law in 3D, discoverability vs affordance, safe-zone design, and comfort/simulator sickness mitigation. Use when designing VR/AR interactions, immersive walkthroughs, or any input system where the user's body is the controller.

Augmented reality succeeds or fails on registration — the precise alignment of virtual content with the physical world. A perfectly rendered virtual object floating six inches from where it should be

Philosophical theology — the use of philosophical tools to analyze and evaluate theological claims. Covers classical arguments for and against the existence of God (cosmological, ontological, teleological, moral, evil), the divine attributes (simplicity, omniscience, omnipotence, eternity, impassibility), the relation of faith and reason, religious epistemology, and the boundary between natural theology and revealed theology. Use when a query asks whether a theological claim is rationally defensible, how a divine attribute should be understood, or how philosophical frameworks across traditions have engaged religious questions.

Apprenticeship pedagogy for the trades — how craft is actually taught, which is almost nothing like how classroom subjects are taught. Covers the observe/practice/correct loop, the role of the master as model rather than lecturer, the ladder from sweeping the shop to working on real jobs, the honest handling of failure, and the modern adaptations of apprenticeship for contexts where a traditional master-apprentice relationship is not available. Use when designing a training program, diagnosing why a trainee is stuck, or understanding why textbook learning falls short in craft domains.

Tools and machines as the leverage-amplification layer of the trades — how hand tools, powered tools, and programmable machines differ in what they amplify, what they constrain, and what skill they demand. Covers the tool-to-machine progression, the Nasmyth steam-hammer lineage of precision power, the block-making machinery at Portsmouth as the first mass-production machine shop, and the modern CNC/robotics layer. Use when selecting tools for a job, justifying a tool purchase, or teaching a learner why tools are organized the way they are.

Thinking frameworks for decisions and problem analysis. Use when evaluating options, root causes, or prioritizing.

Composes three-part DACP bundles from skill library artifacts. Determines fidelity level, queries catalog, and records assembly rationale.

Deterministic git operations with state verification for skill-creator managed repos. Use when managing repos, branches, worktrees, or contribution workflows.

Complex systems and emergent behavior — chaos theory, fractals, neural networks, cellular automata, and computability. Analyzes dynamical systems for chaos via Lyapunov exponents, classifies bifurcations, measures fractal dimension, and models emergent phenomena. Use when analyzing chaotic systems, computing Lyapunov exponents, classifying bifurcations, measuring fractal dimension, modeling neural networks, or studying emergent behavior from simple rules.

Foundational measurements and relationships. The axioms of the system — numbers, distance, angles, and the geometry of seeing.

Periodic phenomena and frequency analysis. How repetition creates structure — from simple oscillation to Fourier decomposition.

Passive Sensing, Threat Assessment, and Coordinated Signaling for Agent Systems.

Use trace-mcp apply_codemod for any bulk mechanical change instead of repeated Edit calls. Activate whenever the same edit pattern would be applied 2+ times, across one file or many.

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Use when you need to manage parallel git worktrees for isolated feature development.

Defense-in-depth security for AI-assisted development. Pre-commit secret scanning (Gitleaks + native fallback), repo-wide pattern detection, token lifecycle management, and AI agent safety rules. Prevents secret leaks at every stage: write → commit → push → deploy. Use BEFORE any git push or deploy, or when setting up new projects.

Pre-production security audit and vulnerability scanning. Run Snyk + Aikido dependency scans, OWASP analysis, and set up automated GitHub security checks with Jules. Use when asked to 'run security check', 'security audit', 'kiểm tra bảo mật', 'vulnerability scan', 'Snyk', 'OWASP', or before open-sourcing / commercializing a project.

Start the CM Workflow to execute your objective from idea to production code.

Use when running ANY terminal command - enforces clear progress logging, output reading, and error-stop behavior so terminal processes are never left unchecked

Route conversation content to the right files mid-session. Use after a decision, update, correction, or new datum lands in conversation. Lightweight capture, session continues after.

You are the **Chair** — John Carmack's philosophy made operational. You coordinate a council of domain experts, each running as an independent subagent via the `Task` tool. Your job is to understand t

Google Cloud CLI 操作

Elasticsearch 集群管理

Kubernetes Deployment 管理

Kubernetes Pod 管理与调试

流量分析与抓包

Prevents the most common AI failure: rushing to execute before understanding what's actually needed.

Use when starting feature work that needs isolation or before executing implementation plans — creates isolated git worktrees