Analyze nonlinear dynamical systems — phase portraits, fixed points, stability analysis, bifurcation diagrams, Poincare sections, Lyapunov exponents, and chaos detection. Use for any autonomous or non-autonomous ODE system where qualitative behavior matters.

This skill should be used when users want to train or fine-tune language models using TRL (Transformer Reinforcement Learning) on Hugging Face Jobs infrastructure. Covers SFT, DPO, GRPO and reward modeling training methods, plus GGUF conversion for local deployment. Includes guidance on the TRL Jobs package, UV scripts with PEP 723 format, dataset preparation and validation, hardware selection, cost estimation, Trackio monitoring, Hub authentication, and model persistence. Should be invoked for tasks involving cloud GPU training, GGUF conversion, or when users mention training on Hugging Face Jobs without local GPU setup.

Quantizes LLMs to 8-bit or 4-bit for 50-75% memory reduction with minimal accuracy loss. Use when GPU memory is limited, need to fit larger models, or want faster inference. Supports INT8, NF4, FP4 formats, QLoRA training, and 8-bit optimizers. Works with HuggingFace Transformers.

Use when writing humanities or social science papers - provides discipline-specific writing guidance

Use for translation, polishing, or de-AI-ification of academic text - provides ready-to-use prompt templates

Use when wiring redis() from @tanstack/ai-memory/redis in production — covers client setup (ioredis or node-redis via fromNodeRedis), the storage model, client-side ranking limits, and troubleshooting.

Use when Codex needs language-server diagnostics, definitions, references, symbols, or rename safety checks in the current workspace.

Configure and verify the Cursor backend for Claude Code Harness. Use when user invokes cursor:setup, wants Cursor as the local default implementation backend, or asks to check Cursor plugin/agent readiness. Distribution default remains opt-in; only local env/user settings are changed when explicitly requested.

Read-only delegate to cursor-agent (Composer) for questions, investigation, design discussion, and adversarial sanity checks. No worktree, no cherry-pick, no Lead diff review — cursor-agent is locked to ask mode and cannot write. Use when user says: ask cursor, cursor sanity check, get a second opinion, adversarial review, design discussion, investigate with cursor, cursor:ask. Do NOT load for: implementation, refactor, file edits, commit/push work, anything requiring write access (use cursor:do or breezing --cursor instead).

Use this skill whenever the user mentions Horizon by name in a Laravel context. Covers the full Horizon lifecycle: installing Horizon (horizon:install, Sail setup), configuring config/horizon.php (supervisor blocks, queue assignments, balancing strategies, minProcesses/maxProcesses), fixing the dashboard (authorization via Gate::define viewHorizon, blank metrics, horizon:snapshot scheduling), and troubleshooting production issues (worker crashes, timeout chain ordering, LongWaitDetected notifications, waits config). Also covers job tagging and silencing. Do not use for generic Laravel queues without Horizon, SQS or database drivers, standalone Redis setup, Linux supervisord, Telescope, or job batching.

Use this skill whenever the user mentions Horizon by name in a Laravel context. Covers the full Horizon lifecycle: installing Horizon (horizon:install, Sail setup), configuring config/horizon.php (supervisor blocks, queue assignments, balancing strategies, minProcesses/maxProcesses), fixing the dashboard (authorization via Gate::define viewHorizon, blank metrics, horizon:snapshot scheduling), and troubleshooting production issues (worker crashes, timeout chain ordering, LongWaitDetected notifications, waits config). Also covers job tagging and silencing. Do not use for generic Laravel queues without Horizon, SQS or database drivers, standalone Redis setup, Linux supervisord, Telescope, or job batching.

TRIGGER when working with ai-sdk which is Laravel official first-party AI SDK. Activate when building, editing AI agents, chatbots, text generation, image generation, audio/TTS, transcription/STT, embeddings, RAG, vector stores, reranking, structured output, streaming, conversation memory, tools, queueing, broadcasting, and provider failover across OpenAI, Anthropic, Gemini, Azure, Groq, xAI, DeepSeek, Mistral, Ollama, ElevenLabs, Cohere, Jina, and VoyageAI. Invoke when the user references ai-sdk, the `Laravel\Ai\` namespace, or this project's AI features — not for Prism PHP or other AI packages used directly.

Finalize bookkeeping for a story already completed by QA. Never changes lifecycle status. Use when: close story, *close-story, story Done, /close-story.

Finalize bookkeeping for a story already completed by QA. Never changes lifecycle status. Use when: close story, *close-story, story Done, /close-story.

Look up who has starred the microsoft/agent-academy repository on GitHub. Use this skill whenever the user wants to check stargazers, see if a specific GitHub user has starred the repo, or retrieve an up-to-date list of stargazers. Trigger whenever the user says "who starred agent academy", "check stargazers", "has <user> starred the repo", or asks anything about the repository's stargazer list. This skill uses the GitHub CLI to fetch stargazers via the GitHub API and saves the results to a local JSON file. It will install prerequisites if needed.

Write or audit an insight-kind error page for the Next.js dev overlay. Use when creating a new `errors/<slug>.mdx` page, auditing an existing one, or checking that a page matches the framework fix cards. Covers page structure, title alignment, FixCard cards with Copy prompt button, code snippets, terminology verification against canonical docs, and Vercel technical writing style.

Use when you want to verify compiler changes and commit with the correct convention. Runs tests, lint, and format, then commits with the [compiler] or [rust-compiler] prefix.

Timeboxed ideation on a topic using propose-and-critique subagent pairs. Use when the user wants to brainstorm, explore ideas, discover features, generate options, or think through possibilities for a specified duration. Triggers on requests like "brainstorm X for 30 minutes", "ideate on X", "spend an hour thinking about X", "what features should we build", "explore options for X".

Operate on @draft facts — collaboratively refine them into precise, actionable @spec facts. Resolve ambiguities, fill gaps, eliminate contradictions, and sharpen labels until every fact is ready to implement. Use when asked to refine facts, clarify the spec, review facts for quality, or "work on facts" with the user.

VMware vSphere / vCenter Server external attack matrix — version fingerprinting, the high-impact CVE chain (CVE-2021-21972 vRealize unauth file upload, CVE-2021-21985 vSAN plugin RCE, CVE-2022-22954 Workspace ONE SSTI, CVE-2023-20887 Aria RCE, CVE-2024-37085 ESXi AD bypass, CVE-2023-34048 vCenter DCERPC OOB write APT-exploited), default credentials, SSO configuration disclosure, vmdir LDAP enumeration, ESXi Open SLP RCE history. ONLY for vCenter / Workspace ONE / Aria instances exposed to the internet — internal-network vCenter is out of scope per the external-only boundary. Use when recon shows port 443 with vCenter banner, `/ui` redirect, `/websso/SAML2/Metadata`, or VMware product fingerprints.