Math
Mathematical computations, formulas, statistics
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.
2-Monad Skill
by plurigrid
Layering adds structure level by level. 2-monads layer algebraic structure on categories, with each strictness level a new layer.
adjunction-algebra
by plurigrid
"Adjunctions as universal arrows. Left ⊣ Right."
xlsx
by 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"
particles-lifecycle
by Bbeierle12
Particle lifecycle management—emission/spawning, death conditions, object pooling, trails, fade-in/out, and state transitions. Use when particles need birth/death cycles, continuous emission, trail effects, or memory-efficient recycling.
particles-gpu
by Bbeierle12
GPU-based particle systems using instanced rendering, buffer attributes, Points geometry, and custom shaders. Use when rendering thousands to millions of particles efficiently, creating particle effects like snow, rain, stars, or abstract visualizations.
particles-physics
by Bbeierle12
Physics simulation for particle systems—forces (gravity, wind, drag), attractors/repulsors, velocity fields, turbulence, and collision. Use when particles need realistic or artistic motion, swarm behavior, or field-based animation.
audio-analysis
by Bbeierle12
Audio analysis with Tone.js and Web Audio API including FFT, frequency data extraction, amplitude measurement, and waveform analysis. Use when extracting audio data for visualizations, beat detection, or any audio-reactive features.
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.
arcgis-feature-effects
by SaschaBrunnerCH
Apply visual effects to features including filters, drop shadows, blur, and grayscale. Use for highlighting features and creating visual emphasis.
arcgis-smart-mapping
by SaschaBrunnerCH
Auto-generate renderers, calculate statistics, and create data-driven visualizations. Use for class breaks, unique values, heatmaps, dot density, relationship maps, and getting histogram/summary statistics.
arcgis-geometry-operations
by SaschaBrunnerCH
Create, manipulate, and analyze geometries using geometry classes and geometry operators. Use for spatial calculations, geometry creation, buffering, intersections, unions, and mesh operations.
arcgis-coordinates-projection
by SaschaBrunnerCH
Work with coordinate systems, projections, and coordinate conversion. Use for transforming coordinates and displaying position in multiple formats.
word-stats
by humanizerai
Get word count, character count, reading time, and text statistics. Quick analysis without questions.
xlsx
by Dedalus-ERP-PAS
"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"
log-analyzer
by AIDotNet
解析和分析日志文件，支持模式匹配、过滤、统计和错误检测。
xlsx
by michaelboeding
"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"
xlsx
by frostant
"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-knowledge-patch
by Nevaberry
This skill should be used when writing PostGIS queries, using spatial functions, geography types, raster operations, topology, or any PostGIS features from 3.5+ (2024-2026).
xlsx
by organvm-iv-taxis
"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"
mathjax-rendering
by BitYoungjae
Render mathematical formulas in Obsidian using LaTeX/MathJax syntax. Use when writing equations, matrices, integrals, summations, or any mathematical notation in Obsidian notes.
tikzjax-diagramming
by BitYoungjae
Create TikZ diagrams in Obsidian using TikZJax plugin. Use when visualizing geometric shapes, coordinate systems, game scenes, circuit diagrams, chemical structures, or complex technical drawings that require precise positioning.