Math
Mathematical computations, formulas, statistics
linear-combination
by unitarylab
Analytic quantum gradient and Quantum Geometric Tensor (QGT) estimation via linear combination of unitaries (LCU). Supports Estimator (expectation value gradients), Sampler (probability distribution gradients), and QGT primitives with configurable derivative types.
shor
by unitarylab
Use this skill when the user asks for Shor integer factorization, quantum order-finding, period estimation, or implementing/running/debugging ShorAlgorithm in this repository (especially matrix/operator methods, IQFT-based phase post-processing, and continued-fraction period recovery). Keywords: shor, factor N, order finding, period finding, modular exponentiation, continued fraction, quantum factoring, ShorAlgorithm.
qsp
by unitarylab
QSP-based Hamiltonian simulation approximates e^{-iHt} by block-encoding the Hamiltonian and applying polynomial spectral transformations via interleaved signal-processing rotations, achieving high precision with efficiently bounded circuit depth.
discretelog
by unitarylab
"Use when users ask about solving the discrete logarithm problem g^x ≡ y (mod P) with Shor's quantum algorithm, building/explaining DLP circuits, running simulator demos, or debugging post-processing (continued fractions, order recovery, congruence solving). Triggers: discrete log, DLP, Shor discrete logarithm, g^x mod P, modular exponentiation, continued fractions, quantum cryptography demo."
hamiltonian-simulation
by unitarylab
Quantum Hamiltonian simulation methods for approximating time evolution e^{-iHt}. Includes Trotter-Suzuki decomposition, QDrift randomized sampling, Cartan decomposition, QSP polynomial spectral transformation, and Taylor series LCU expansion.
xlsx-python
by lanej
"Create and edit spreadsheets with Python (openpyxl/xlsxwriter) for formulas, formatting, data analysis, and visualization. Use when you need to CREATE or MODIFY spreadsheets programmatically. For READING/ANALYZING existing spreadsheets, prefer the xlsx CLI skill."
social-proof-psychology
by flpbalada
Leverage social proof principles to build trust and influence user behavior.
historical-market-cap
by OctagonAI
Retrieve historical market capitalization data for any stock using Octagon MCP. Use when tracking market cap changes over time, analyzing valuation trends, identifying peak and trough valuations, and comparing historical size classifications.
git-stats
by AIDotNet
分析Git仓库统计信息，包括提交、贡献者和代码变更。
camsnap
by EthanAlgoX
Capture frames or clips from RTSP/ONVIF cameras.
openhue
by EthanAlgoX
Control Philips Hue lights/scenes via the OpenHue CLI.
scientific-computing
by eyadsibai
Use when "scientific computing", "astronomy", "astropy", "bioinformatics", "biopython", "symbolic math", "sympy", "statistics", "statsmodels", "scientific Python"
sandbox-service
by Lin-A1
安全隔离的 Docker 沙盒代码执行服务。支持 Python/Shell/Bash 多语言动态执行，内置超时与资源限制。提供信任模式用于服务间代码融合调用。
xlsx
by CommandCodeAI
"Comprehensive spreadsheet creation, editing, and analysis with support for formulas, formatting, data analysis, and visualization. When Claude needs to work with spreadsheets (.xlsx, .xlsm, .csv, .tsv, etc) for: (1) Creating new spreadsheets with formulas and formatting, (2) Reading or analyzing data, (3) Modify existing spreadsheets while preserving formulas, (4) Data analysis and visualization in spreadsheets, or (5) Recalculating formulas"
Costengineering
by robdtaylor
Manufacturing cost accounting, analysis, and reduction for automotive operations. Covers overhead/burden rate calculation, variance analysis, make vs buy decisions, value engineering, and cycle time to cost conversion. USE WHEN user says 'cost analysis', 'overhead rate', 'burden rate', 'variance analysis', 'make vs buy', 'value engineering', 'cost reduction', 'should cost', 'labour rate', or needs manufacturing cost guidance.
math-help
by parcadei
Guide to the math cognitive stack - what tools exist and when to use each
math
by parcadei
Unified math capabilities - computation, solving, and explanation. I route to the right tool.
shadergraph-editor
by tomkrikorian
Create and edit ShaderGraph and RealityKit material networks in .usda files. Use when manually editing USD ASCII files to build, modify, or troubleshoot materials, shader nodes, and connections for RealityKit.
xlsx
by vibery-studio
"Comprehensive spreadsheet creation, editing, and analysis with support for formulas, formatting, data analysis, and visualization. When Claude needs to work with spreadsheets (.xlsx, .xlsm, .csv, .tsv, etc) for: (1) Creating new spreadsheets with formulas and formatting, (2) Reading or analyzing data, (3) Modify existing spreadsheets while preserving formulas, (4) Data analysis and visualization in spreadsheets, or (5) Recalculating formulas"
document-quality-standards
by belumume
Use when creating or editing documents (DOCX, PDF, XLSX, PPTX) that need professional output. Adds visual verification, typography hygiene, and formula patterns.
three-best-practices
by emalorenzo
Three.js performance optimization and best practices guidelines. Use when writing, reviewing, or optimizing Three.js code. Triggers on tasks involving 3D scenes, WebGL/WebGPU rendering, geometries, materials, textures, lighting, shaders, or TSL.
xlsx
by tfriedel
"Comprehensive spreadsheet creation, editing, and analysis with support for formulas, formatting, data analysis, and visualization. When Claude needs to work with spreadsheets (.xlsx, .xlsm, .csv, .tsv, etc) for: (1) Creating new spreadsheets with formulas and formatting, (2) Reading or analyzing data, (3) Modify existing spreadsheets while preserving formulas, (4) Data analysis and visualization in spreadsheets, or (5) Recalculating formulas"
seuratclusterstats
by pwwang
Generates comprehensive cluster statistics and visualizations for Seurat objects, including dimension reduction plots, gene expression visualizations, cluster quality metrics, and clustree diagrams. This process is essential for exploring and validating clustering results.
nutrition-planner
by LKB-99
"Create personalized nutrition plans, calculate calories/macros, and generate meal ideas. Use this skill for diet planning, weight management, or muscle gain. Triggers: nutrition plan, diet plan, meal plan, calories, macros, recipes, plano alimentar, dieta, calorias, macronutrientes, receitas, emagrecer, ganhar massa."