数学
数学计算与符号处理
arcgis-coordinates-projection
SaschaBrunnerCH
Work with coordinate systems, projections, and coordinate conversion. Use for transforming coordinates and displaying position in multiple formats.
saas-financial-projections
luisschmitzheadline
Senior SaaS CFO / Financial Analyst (15+ years) specialized in financial modeling, projections, and exit strategy for bootstrapped and VC-backed SaaS companies. Activate when user needs: (1) Revenue projections (1-5 years), (2) Exit valuation and multiples, (3) Unit economics analysis (CAC, LTV, payback), (4) Scenario modeling (conservative/base/optimistic), (5) Fundraising narratives with financial backing, (6) M&A due diligence financials, (7) SaaS metrics benchmarking, (8) Cohort analysis and churn modeling. Triggers: "proyecciones", "projections", "exit", "valuation", "ARR", "MRR", "multiples", "revenue forecast", "financial model", "exit strategy", "CAC", "LTV", "unit economics", "churn", "fundraising", "M&A", "acquisition", "5 year plan".
threejs-builder
JochenYang
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 r150+ APIs.
jax-pde
tondevrel
Advanced sub-skill for JAX focused on solving Partial Differential Equations (PDEs) and Differentiable Physics. Covers Finite Difference Methods (FDM), Neural Operators, and Physics-Informed Neural Networks (PINNs).
geopandas
tondevrel
Open source project to make working with geospatial data in python easier. Extends the datatypes used by pandas to allow spatial operations on geometric types. Built on top of Shapely, Fiona, and Pyproj. Use for reading and writing spatial formats (Shapefile, GeoJSON, GeoPackage, KML), performing spatial joins, coordinate system transformations (reprojecting), geometric analysis (buffers, centroids, convex hulls), thematic mapping (Choropleth maps), calculating spatial relationships (contains, overlaps, touches, within), working with OpenStreetMap data or satellite-derived vector data.
chempy
tondevrel
A Python package useful for chemistry (mainly physical/analytical/inorganic chemistry). Features include balancing chemical reactions, chemical kinetics (ODE integration), chemical equilibria, ionic strength calculations, and unit handling. Use when working with chemical equations, reaction balancing, kinetic modeling, equilibrium calculations, speciation, pH calculations, ionic strength, activity coefficients, or chemical formula parsing.
pyomo
tondevrel
Python Optimization Modeling Objects. A high-level framework for formulating, solving, and analyzing optimization models. Supports Linear Programming (LP), Mixed-Integer Linear Programming (MILP), and Non-Linear Programming (NLP). Part of the COIN-OR project. Use for mathematical optimization, linear programming, mixed-integer programming, non-linear programming, strategic planning, process engineering, energy systems, supply chain optimization, stochastic programming, and solver integration with IPOPT, SCIP, Gurobi, CPLEX, or GLPK.
astropy
tondevrel
The core library for Astronomy and Astrophysics in Python. Provides data structures for coordinates, time, units, FITS files, and cosmological models. Essential for observational data reduction and theoretical astrophysics. Use when working with astronomical coordinates (RA/Dec), physical units, FITS files, time scales, WCS, cosmology, or astronomical tables.
ase
tondevrel
Atomic Simulation Environment - a set of tools for setting up, manipulating, running, visualizing, and analyzing atomistic simulations. Acts as a universal interface between Python and numerous quantum chemical and molecular dynamics codes. Use for building atomic structures, geometry optimization, molecular dynamics simulations, transition state searches (NEB), file format conversion (CIF, XYZ, POSCAR, PDB), electronic property calculations (DOS, band structures), and automating simulation workflows with DFT/MD codes like VASP, GPAW, Quantum ESPRESSO, LAMMPS.
pyscf
tondevrel
Comprehensive guide for PySCF - Python-based Simulations of Chemistry Framework. Use for ab initio quantum chemistry calculations including Hartree-Fock, DFT, MP2, CCSD, geometry optimization, excited states, and molecular properties. Industry-standard library for electronic structure calculations.
lifelines
tondevrel
Complete survival analysis library in Python. Handles right-censored data, Kaplan-Meier curves, and Cox regression. Standard for clinical trial analysis and epidemiology.
extended-thinking
vanman2024
Deep reasoning with Claude's extended thinking feature for complex multi-step problems. Use when implementing think-aloud reasoning, complex analysis, or debugging difficult issues.
2-Monad Skill
plurigrid
Layering adds structure level by level. 2-monads layer algebraic structure on categories, with each strictness level a new layer.
xlsx
rangerrick337
"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"
postgis
troykelly
MANDATORY when working with geographic data, spatial queries, geometry operations, or location-based features - enforces PostGIS 3.6.1 best practices including ST_CoverageClean, SFCGAL 3D functions, and bigint topology
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）。
xlsx
Krosebrook
"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"
procedural-weather
CK42BB
Generate dynamic procedural weather effects in Three.js using WebGPU compute with WebGL2 fallback. Covers rain (drizzle to monsoon), snow (flurries to blizzard), hail, fog and mist (ground fog, volumetric), lightning (bolt, sheet, cloud-internal), dust/sandstorms, wind-driven debris, rainbows, aurora borealis, and a weather state machine for smooth transitions. All precipitation uses GPU particle systems with collision, splashes, and accumulation. Provides per-effect lighting changes, ambient sound cue hints, and camera post-processing (wet lens, frost). Use when building weather systems, atmospheric effects, environmental ambience, climate simulation, or any scene needing dynamic weather. Triggers: "procedural weather", "rain effect", "snow particles", "lightning", "fog shader", "weather system", "storm", "blizzard", "sandstorm", "aurora", "rainbow", "precipitation", "weather transition", "wet lens".
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"
impl-add-model-work-label
SyFI-ServingStudio
Use when implementing independent model.work necessary-work support for a Transformer architecture or checkpoint so Optimality can produce R6/R7. Covers attention and FFN specs, heterogeneous LayerStack composition, exact architectures[0] registration, hand-derived parameter/FLOP goldens, semantic location maps, and exact-iteration verification. Not for simulator L1-L4 timing composition.
checking-image-bounds-transform
christian289
"Checks and clamps mouse coordinates within transformed image bounds in WPF. Use when implementing measurement tools or annotations that should only work inside Pan/Zoom/Rotate transformed images."
creating-graphics-in-code
christian289
"Creates WPF graphics dynamically in C# code using Shape, PathGeometry, and PathFigure classes. Use when building charts, diagrams, or procedurally generated graphics."
displaying-slider-index
christian289
"Displays 0-based collection indices as 1-based numbers in WPF Slider controls. Use when showing user-friendly slice/page numbers while maintaining 0-based internal indexing."
git-squash-commits
acking-you
Squash multiple git commits into a single commit with an auto-generated comprehensive commit message based on the changes made.