数学

A B Testing

omer-metin

docstring

EYH0602

Write docstrings for PyTorch functions and methods following PyTorch conventions. Use when writing or updating docstrings in PyTorch code.

obsidian-dashboard

oldwinter

This skill should be used when users want to generate comprehensive statistics and overview of their Obsidian vault, including file counts, types, tags, links, folder structure, and other metadata analysis.

obsidian-bases

oldwinter

Create and edit Obsidian Bases (.base files) with views, filters, formulas, and summaries. Use when working with .base files, creating database-like views of notes, or when the user mentions Bases, table views, card views, filters, or formulas in Obsidian.

tooyoung:threejs-builder

shiqkuangsan

"Creates simple Three.js web apps with scene setup, lighting, geometries, materials, animations, and responsive rendering. Use for 'Create a threejs scene/app/showcase' or when user wants 3D web content. Supports ES modules, modern Three.js r170+ APIs."

pattrns

bfollington

Guide for creating generative, emergent music with Pattrns, the Lua-based pattern sequencing engine for Renoise. Use when composing algorithmic patterns, generating evolving breakbeats/rhythms, creating generative melodies/harmonies, designing textures, or working with euclidean rhythms and live coding patterns. Covers breakbeat/jungle/DnB, IDM/experimental, jazz, industrial/trip-hop, and ambient styles.

shadertoy

bfollington

This skill should be used when working with Shadertoy shaders, GLSL fragment shaders, or creating procedural graphics for the web. Use when writing .glsl files, implementing visual effects, creating generative art, or working with WebGL shader code. This skill provides GLSL ES syntax reference, common shader patterns, and Shadertoy-specific conventions.

xlsx-offline

okwinds

Excel 表格离线读写与公式校验：创建/修改 xlsx，保持公式可复算，输出必须零公式错误；附带 LibreOffice 重算与错误扫描脚本（依赖安装可能需要网络）。

pywayne-vio-se3

wangyendt

SE(3) rigid body transformation library for 3D rotation and translation operations. Use when working with robot poses, camera transformations, SLAM systems, or any 3D rigid body motion tasks. Supports SE(3) matrix operations, Lie group/algebra mappings (log/Log, exp/Exp), representation conversions (quaternion, axis-angle, Euler angles), and batch processing of trajectories.

preview-threejs

veelenga

Create interactive 3D visualizations using Three.js with orbit controls, lighting, and animation

pywayne-vio-so3

wangyendt

SO(3) rotation matrix utilities including Lie group/ Lie algebra operations, rotation representation conversions, skew-symmetric matrix operations, and rotation averaging. Use when working with 3D rotations, robot kinematics, computer vision, SLAM, or any task requiring SO(3) matrix validation and manipulation, quaternion/ axis-angle/ Euler angle conversions, Lie algebra Log/Exp mapping, skew-symmetric matrix operations, or rotation matrix averaging

tutor-math-geometry

wangyendt

一对一辅导老师技能，用于解答数学题，生成HTML讲解文档和带配音的Manim动画视频。 核心工作流：数学分析 → HTML可视化 → 分镜脚本 → TTS音频 → 验证更新 → 脚手架 → Manim代码 → 渲染验证 触发条件：学生粘贴数学题图片、需要教学视频、需要HTML讲解资料

pywayne-statistics

wangyendt

Comprehensive statistical testing library with 37+ methods for normality tests, location tests, correlation tests, time series tests, and model diagnostics. Use when performing hypothesis testing, A/B testing, data quality checks, time series analysis, or regression model validation. All methods return unified TestResult objects with consistent interface including p-value, statistic, confidence interval, and effect size.

r3f-geometry

EnzeD

React Three Fiber geometry - built-in shapes, BufferGeometry, instancing with Drei. Use when creating 3D shapes, custom meshes, point clouds, lines, or optimizing with instanced rendering.

xlsx

ImGoodBai

"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"

role-algorithms:data-structures

rnavarych

Implements and selects optimal data structures — hash tables (chaining, open addressing, Robin Hood, cuckoo), balanced BSTs (AVL, Red-Black, B-trees), heaps (binary, Fibonacci, pairing), tries, skip lists, segment trees, Fenwick trees, Bloom filters, Count-Min Sketch, HyperLogLog, and Union-Find. Use when choosing structures for performance constraints, implementing custom collections, or optimizing memory access patterns.

role-architect:cost-modeling

rnavarych

Cost modeling expertise including infrastructure cost estimation, TCO calculation, build vs buy analysis, pricing model comparison, ROI projection, cost growth modeling, and breakeven analysis.

role-database:capacity-planning

rnavarych

Database capacity and growth planning. Storage growth estimation, IOPS requirements, memory sizing (buffer pool, shared_buffers), connection count estimation, sharding triggers, read replica scaling, cost estimation per cloud provider. Load testing (pgbench, sysbench, YCSB, HammerDB). When to shard vs scale up vs read replicas. Use when planning database capacity, sizing infrastructure, or evaluating scaling strategies.

risk-reward-ratio

Bhala-Srinivash

Calculate and evaluate risk-reward ratios for NSE/BSE equity trades. Includes R:R calculation, minimum R:R tables by win rate, trade filtering rules, and multi-target R:R analysis. Use when the user asks: "risk reward for this trade", "is this trade worth it", "R:R ratio", "what's my risk vs reward", "should I take this trade", "expected value of trade", or any question about whether a trade setup justifies the risk.

r3f-loaders

EnzeD

React Three Fiber asset loading - useGLTF, useLoader, Suspense patterns, preloading. Use when loading 3D models, textures, HDR environments, or managing loading states.

r3f-lighting

EnzeD

React Three Fiber lighting - light types, shadows, Environment component, IBL. Use when adding lights, configuring shadows, setting up environment lighting, or optimizing lighting performance.

r3f-shaders

EnzeD

React Three Fiber shaders - GLSL, shaderMaterial, uniforms, custom effects. Use when creating custom visual effects, modifying vertices, writing fragment shaders, or extending built-in materials.

r3f-textures

EnzeD

React Three Fiber textures - useTexture, texture loading, environment maps, texture configuration. Use when loading images, working with PBR texture sets, cubemaps, HDR environments, or optimizing texture usage.

xlsx

ArcaneOrion

"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"