Math
Mathematical computations, formulas, statistics
Uses and selection guide
Use these skills to collect, transform and examine datasets. Compare supported formats, data volume and handling of missing values; inspect a small sample before applying a transformation to the complete dataset.
structural-modeling
by brycewang-stanford
This skill covers structural econometric models. Use when the user is building, estimating, or debugging structural models — including BLP demand estimation, dynamic discrete choice, auction models, or any workflow involving moment conditions, nested fixed-point algorithms, or MPEC formulations. Triggers on "structural model", "moment conditions", "NFXP", "MPEC", "BLP", "random coefficients", "dynamic discrete choice", "CCP", "Rust model", "auction estimation", "GMM objective", "inner loop", "contraction mapping", or convergence/starting value problems in optimization-based estimation.
bayesian-estimation
by brycewang-stanford
This skill covers Bayesian estimation and inference in quantitative social science. Use when the user is specifying priors, running MCMC, diagnosing chain convergence, or reporting posterior summaries — including hierarchical models, Bayesian structural models, and small-sample settings where priors regularize. Triggers on "Bayesian estimation", "Bayesian inference", "MCMC", "Markov chain Monte Carlo", "Stan", "PyMC", "NumPyro", "prior", "posterior", "credible interval", "Bayesian structural", "Bayesian BLP", "Bayesian DSGE", "hierarchical model", "random effects Bayesian", "posterior predictive check", "Bayes factor", "prior predictive check", "NUTS", "HMC", "Hamiltonian Monte Carlo", "R-hat", "rhat", "effective sample size", "ESS", "Bayesian calibration", "posterior distribution", "prior elicitation", "weakly informative prior", "brms", "rstanarm", "cmdstanpy", "pymc", "arviz".
ab-test-setup
by coreyhaines31
When the user wants to plan, design, or implement an A/B test or experiment, or build a growth experimentation program. Also use when the user mentions "A/B test," "split test," "experiment," "test this change," "variant copy," "multivariate test," "hypothesis," "should I test this," "which version is better," "test two versions," "statistical significance," "how long should I run this test," "growth experiments," "experiment velocity," "experiment backlog," "ICE score," "experimentation program," or "experiment playbook." Use this whenever someone is comparing two approaches and wants to measure which performs better, or when they want to build a systematic experimentation practice. For tracking implementation, see analytics-tracking. For page-level conversion optimization, see page-cro.
spreadsheet-formula-helper
by ComposioHQ
Write and debug spreadsheet formulas (Excel/Google Sheets), pivot tables, and array formulas; translate between dialects; use when users need working formulas with examples and edge-case checks.
geopandas
by K-Dense-AI
Python library for working with geospatial vector data including shapefiles, GeoJSON, and GeoPackage files. Use when working with geographic data for spatial analysis, geometric operations, coordinate transformations, spatial joins, overlay operations, choropleth mapping, or any task involving reading/writing/analyzing vector geographic data. Supports PostGIS databases, interactive maps, and integration with matplotlib/folium/cartopy. Use for tasks like buffer analysis, spatial joins between datasets, dissolving boundaries, clipping data, calculating areas/distances, reprojecting coordinate systems, creating maps, or converting between spatial file formats.
数学建模技能 - Math Modeling
by XiaoMaColtAI
数学建模技能 - 为CUMCM、MCM/ICM等数学建模竞赛提供结构化的三阶段工作流程：建模分析、代码实现、论文撰写。包含丰富的算法资源库(优化/预测/评价/图论/机器学习等)、角色指导文档、论文模板和实用工具脚本。
manim-video
by NousResearch
"Production pipeline for mathematical and technical animations using Manim Community Edition. Creates 3Blue1Brown-style explainer videos, algorithm visualizations, equation derivations, architecture diagrams, and data stories. Use when users request: animated explanations, math animations, concept visualizations, algorithm walkthroughs, technical explainers, 3Blue1Brown style videos, or any programmatic animation with geometric/mathematical content."
saas-economics-efficiency-metrics
by deanpeters
Evaluate unit economics and capital efficiency for SaaS. Covers CAC, LTV, payback, margins, burn rate, Rule of 40, and magic number.
xlsx
by Prat011
"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"
made-to-stick
by wondelai
'Craft messages that are understood, remembered, and drive action using the SUCCESs checklist (Simple, Unexpected, Concrete, Credible, Emotional, Stories). Use when the user mentions "make it memorable", "sticky messaging", "tagline", "value proposition", or "why the message isn''t landing". For narrative brand frameworks, see storybrand-messaging. For viral sharing, see contagious.'
godot-3d-world-building
by thedivergentai
"Expert patterns for 3D level design using GridMap with MeshLibrary, CSG constructive solid geometry, WorldEnvironment setup, ProceduralSkyMaterial, and volumetric fog. Use when building 3D levels, modular tilesets, BSP-style geometry, or environmental effects. Trigger keywords: GridMap, MeshLibrary, set_cell_item, get_cell_item, map_to_local, local_to_map, CSGCombiner3D, CSGBox3D, CSGSphere3D, CSGPolygon3D, WorldEnvironment, Environment, Sky, ProceduralSkyMaterial, PanoramaSkyMaterial, fog_enabled, volumetric_fog_enabled."
xlsx
by snyk
"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"
tooluniverse-polygenic-risk-score
by mims-harvard
Build and interpret polygenic risk scores (PRS) for complex diseases using GWAS summary statistics. Calculates genetic risk profiles, interprets PRS percentiles, and assesses disease predisposition across conditions including type 2 diabetes, coronary artery disease, and Alzheimer's disease. Use when asked to calculate polygenic risk scores, interpret genetic risk for complex diseases, build custom PRS from GWAS data, or answer questions like "What is my genetic predisposition to breast cancer?"
tooluniverse-gwas-study-explorer
by mims-harvard
Compare GWAS studies, perform meta-analyses, and assess replication across cohorts. Integrates NHGRI-EBI GWAS Catalog and Open Targets Genetics to compare study designs, effect sizes, ancestry diversity, and heterogeneity statistics. Use when comparing GWAS studies for a trait, performing meta-analysis of genetic loci, assessing replication across cohorts, or exploring the genetic architecture of complex diseases.
dbs-xhs-title
by dontbesilent2025
小红书标题公式工具。从 75 个验证过的爆款公式中，帮你挑对的、用对的、理解为什么用这个。 触发方式：/dbs-xhs-title、/小红书标题、「帮我起个小红书标题」「小红书标题公式」 Xiaohongshu title formula tool. Pick the right formula from 75 proven templates. Trigger: /dbs-xhs-title, "xiaohongshu title", "RED title formula"
unity-profiler
by Besty0728
"Performance profiling. Use when users want to get FPS, memory usage, or performance statistics. Triggers: profiler, performance, FPS, memory, stats, benchmark, Unity性能, Unity帧率, Unity内存."
3d-camera-interaction
by Project-N-E-K-O
Three.js 中处理 3D 模型拖拽、缩放、边界检测的正确方法。解决鼠标移动与模型移动不同步、缩放后只能看到模型一部分等问题。
network-info
by UKGovernmentBEIS
Gather network configuration and connectivity information including interfaces, routes, and DNS
billing-automation
by rmyndharis
Build automated billing systems for recurring payments, invoicing, subscription lifecycle, and dunning management. Use when implementing subscription billing, automating invoicing, or managing recurring payment systems.
drawio
by markdown-viewer
General-purpose diagramming tool using drawio XML format with 8900+ stencils. Best for custom diagrams requiring pixel-perfect positioning, diagrams with vendor-specific icons (AWS, Azure, Cisco), or any diagram not covered by specialized skills. Use network skill for network topology, uml skill for UML diagrams, architecture skill for layered system views. NOT for simple flowcharts (use mermaid) or data-driven charts (use vega).
llm-provider-usage-statistics
by letta-ai
Reference guide for token counting and prefix caching across LLM providers (OpenAI, Anthropic, Gemini). Use when debugging token counts or optimizing prefix caching.
threejs-materials
by CloudAI-X
Three.js materials - PBR, basic, phong, shader materials, material properties. Use when styling meshes, working with textures, creating custom shaders, or optimizing material performance.
threejs-animation
by CloudAI-X
Three.js animation - keyframe animation, skeletal animation, morph targets, animation mixing. Use when animating objects, playing GLTF animations, creating procedural motion, or blending animations.
threejs-lighting
by CloudAI-X
Three.js lighting - light types, shadows, environment lighting. Use when adding lights, configuring shadows, setting up IBL, or optimizing lighting performance.