Solve recurrence relations using multiple methods including Master Theorem and generating functions

Analyze and organize related work for theoretical CS papers

Simulate Turing machines for computability analysis and algorithm demonstration

Advanced skill for crystallographic structure analysis and determination including space group identification, atomic position refinement, and PDF analysis

Skill for surface composition, chemical state, and topography analysis including XPS depth profiling, AFM imaging, and contact angle measurements

Mathematical diagram and visualization generation

MCMC convergence diagnostics and analysis

Systematic failure analysis methodology for mechanical component failures

Atomic Force Microscopy and Scanning Probe Microscopy skill for nanoscale topography, mechanical, and electrical property mapping

Directed Self-Assembly skill for block copolymer lithography and nanoparticle templating

Electron Beam Lithography skill for high-resolution nanopatterning with dose optimization and proximity effect correction

Nanoparticle Tracking Analysis skill for single-particle size and concentration measurements

Transmission Electron Microscopy image analysis skill for nanoparticle size, morphology, and crystallography assessment

X-ray Diffraction skill for crystal structure, phase identification, and crystallite size analysis of nanomaterials

Bluesky experimental orchestration skill for scan automation, data collection, and metadata management

MadGraph matrix element calculation skill for BSM physics, cross-section computation, and event generation

ZX-calculus based circuit simplification skill for advanced quantum circuit optimization

Full state vector simulation skill for exact quantum circuit evaluation

Citation graph exploration for discovering related work through visual graph traversal

Automated hypothesis generation using abductive reasoning and knowledge graph traversal

Skill for building interactive data dashboards

Skill for visualizing network and graph data

Create comprehensive artist personas including identity, backstory, artistic voice, visual aesthetic, discography arc, and character traits for consistent music generation

Create and maintain comprehensive collection records including cataloging, photography, condition documentation, and database management following AAM/ICOM standards

Plan and design exhibition layouts including spatial arrangement, object placement, lighting, graphics, and visitor flow optimization for diverse audiences

Apply Mayer's multimedia learning principles to design effective audio, video, graphics, and animations that reduce cognitive load

Code qualitative field data, identify emergent themes, and develop grounded interpretations using NVivo/Atlas.ti methodologies

Create spatial visualizations and geographic analyses for historical and cultural research questions using QGIS/ArcGIS

Extract arguments from complex texts, identify premises, conclusions, and implicit assumptions, and create visual argument maps using Toulmin model or standard form

Conduct participant observation, fieldwork, immersion, and thick description documentation in diverse cultural settings

Embedded cryptographic operations and secure element integration. Expert skill for hardware crypto accelerators, secure key storage, TrustZone configuration, and side-channel attack mitigation.

Animation state machine skill for transitions.

A* pathfinding skill for heuristics and optimization.

High Definition Render Pipeline configuration for Unity, including ray tracing, volumetric effects, and high-fidelity graphics setup.

Unity Shader Graph skill for visual shader authoring, custom nodes, and material effects.

Unreal Engine Blueprint visual scripting skill for macros, functions, event graphs, and rapid prototyping.

Unreal Engine MetaSounds skill for procedural audio, real-time synthesis, and advanced audio graphs.

Expert skill for designing intermediate representations and implementing SSA construction

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Deep code property graph analysis with Joern CPG (AST+CFG+PDG) and CodeQL for control flow, data flow, taint analysis, and security auditing

Intent-Augmented Code Property Graph — tracks WHY code exists via ReasonNodes with formal contracts, 6-dimension drift detection, and 3 canonical pre-task queries for autonomous development

Microsoft Teams bots and AI agents - Claude/OpenAI, Adaptive Cards, Graph API

Shopify app development - Remix, Admin API, checkout extensions

多智能体团队管理。创建、查看、修改、删除 CountBot 的多智能体团队，管理团队成员（角色）和团队级自定义模型配置。当用户要新建 Pipeline/Graph/Council 团队、调整成员分工、修改依赖关系、开关技能系统、设置团队专属模型时使用。

A comprehensive humanities tutor covering history, geography, and politics/civics for K-12 students across global curricula. This skill transforms the AI agent into an engaging humanities teacher who

A creative yet rigorous tutor for art history, visual design principles, color theory, typography, UX/UI design, and portfolio development. This skill develops visual literacy -- the ability to see, a

Expert knowledge for Azure Advisor development including best practices, decision making, limits & quotas, security, configuration, and integrations & coding patterns. Use when configuring Advisor alerts, workbooks, Resource Graph/Kusto queries, RBAC access, or sovereign cloud support, and other Azure Advisor related development tasks. Not for Azure Cost Management (use azure-cost-management), Azure Monitor (use azure-monitor), Azure Policy (use azure-policy), Azure Defender For Cloud (use azure-defender-for-cloud).

Expert knowledge for Azure Carbon Optimization development including troubleshooting, security, and integrations & coding patterns. Use when using Carbon Service REST API, Python exports, RBAC roles, emissions data quality, or dashboard issues, and other Azure Carbon Optimization related development tasks. Not for Azure Cost Management (use azure-cost-management), Azure Impact Reporting (use azure-impact-reporting), Azure Monitor (use azure-monitor), Azure Policy (use azure-policy).

Expert knowledge for Azure Data Api Builder development including troubleshooting, best practices, decision making, limits & quotas, security, configuration, integrations & coding patterns, and deployment. Use when defining DAB entities over SQL/Cosmos, exposing REST/GraphQL, securing auth/RLS, or deploying via Docker/Azure, and other Azure Data Api Builder related development tasks. Not for Azure API Management (use azure-api-management), Azure Functions (use azure-functions), Azure App Service (use azure-app-service), Azure Logic Apps (use azure-logic-apps).

Expert knowledge for Azure Digital Twins development including troubleshooting, best practices, decision making, architecture & design patterns, limits & quotas, security, configuration, integrations & coding patterns, and deployment. Use when modeling with DTDL, querying twin graphs, integrating IoT Hub/Functions, or migrating control plane APIs, and other Azure Digital Twins related development tasks. Not for Azure IoT Hub (use azure-iot-hub), Azure IoT Central (use azure-iot-central), Azure IoT Edge (use azure-iot-edge), Azure IoT Operations (use azure-iot-operations).