数学
数学计算与符号处理
matlab-stats-ml
rrmaram2000
"MATLAB Statistics and Machine Learning Toolbox. Functions - fitcsvm, fitctree, fitcensemble, fitcknn, fitcnb, fitcnet, fitlm, fitglm, fitrgp, fitrensemble, lasso, kmeans, linkage, fitgmdist, dbscan, pca, tsne, factoran, ttest, ttest2, anova1, anovan, ranksum, chi2gof, fitdist, makedist, mle, ecdf, coxphfit, cvpartition, crossval, kfoldLoss, perfcurve, confusionchart, bayesopt, shapley, normalize. Tasks - run t-test or ANOVA, fit distributions, classify patients, train SVM or random forest, predict with regression, cluster data, reduce dimensions with PCA or t-SNE, cross-validate, compute ROC and AUC, select features, optimize hyperparameters, analyze survival data, plot Kaplan-Meier curves, handle missing data, interpret with SHAP or LIME. Domains - biomarker discovery, clinical trials, patient outcome prediction, diagnostic classification, gene expression, proteomics, epidemiology, survival analysis, treatment comparison."
awwwards-animations
DevMartinese
Professional React animation skill for creating Awwwards/FWA-level animations using GSAP (useGSAP), Motion (Framer Motion), Anime.js, and Lenis. Use when building premium scroll experiences, custom cursors, page transitions, text animations, parallax effects, micro-interactions, or any animation that needs to be 60fps and award-worthy. Triggers on requests for smooth scroll, ScrollTrigger, magnetic effects, reveal animations, horizontal scroll, pin sections, stagger effects, useScroll, useTransform, integration with Three.js/WebGL, algorithmic art, mathematical art, generative art, fractals, L-systems, flow fields, strange attractors, sacred geometry, geometric puzzles, Dudeney dissections, tangram, tessellations, Penrose tiles, kinetic typography, glitch effects, text explosion, morphing text, circular text, brutalist design, minimalist animation, neo-brutalism, or design philosophy mixing. React-first approach with proper cleanup and hooks.
linkedin-announcement-generator
vishalsachdev
This skill generates professional LinkedIn announcement text for intelligent textbooks by analyzing book metrics, chapter content, and learning resources to create engaging posts with key statistics, hashtags, and links to the published site. Use this skill when you need to create social media announcements about textbook completion or major milestones.
math-function-plotter-plotly
vishalsachdev
This skill generates interactive mathematical function plots using Plotly.js for iframe embedding in intelligent textbooks. Creates visualizations with hover tooltips, interactive sliders to move points along curves, responsive design optimized for narrow layouts, and comprehensive educational documentation. Use this when users request plotting mathematical functions, graphing equations, visualizing f(x), or creating interactive function explorers for calculus, precalculus, physics, or engineering courses.
homebrew-formula-updater
asteroid-belt
Update Homebrew formula files with latest GitHub release URLs and SHA256 checksums. This skill should be used when the user wants to update a Homebrew tap formula (.rb file) with a new version from a GitHub release. Triggers on phrases like "update formula", "update homebrew", "new release", "bump version", or when pointing to a .rb formula file that needs version updates.
tensorderive
QuackFrog
Automated mechanics tensor derivation skill — couples LLM reasoning with Computer Algebra Systems (CAS) for journal-quality tensor theory derivation in solid mechanics, computational mechanics, and continuum mechanics. 6 specialized agents + 4 CAS MCP tool backends supporting tensor algebra, constitutive modeling, weak-form derivation, variational calculus, and automatic differentiation verification.
mathjax-rendering
BitYoungjae
Render mathematical formulas in Obsidian using LaTeX/MathJax syntax. Use when writing equations, matrices, integrals, summations, or any mathematical notation in Obsidian notes.
compound-catalog
James-Traina
Capture solved research problems as categorized documentation with YAML frontmatter for fast lookup. Use when a methodological, estimation, or data problem has been solved and should be documented for future reference. Triggers on "that worked", "it's fixed", "problem solved", "estimation converges now", "proof is complete", "pipeline runs", or when /workflows:compound invokes solution documentation. Also triggered by "document this solution", "save this fix", "log this resolution".
tikzjax-diagramming
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.
uniswap-fundamentals
rustydotwtf
Reference for Uniswap V3/V4 concepts used in Doppler development, including tick math, sqrtPriceX96, concentrated liquidity formulas, and V4 hooks/singleton architecture.
groove
mbilokonsky
[PLACEHOLDER - skill not yet fully defined] The groovy commutator is a formal detector for edge-of-chaos dynamics—systems where order of operations matters in structured (not random) ways. This is the signature of aliveness. J Dilla saw what Heisenberg saw, and it shows up in Class 4 cellular automata, jazz micro-timing, quantum mechanics, and semantic navigation.
xlsx
kcchien
"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"
model-thinking
kcchien
Mental models toolkit for clearer thinking, better decisions, and problem-solving. Use when users face complex problems, need decision support, want to analyze situations from multiple angles, organize information, understand systems, predict outcomes, or learn about specific mental models. Triggers include phrases like "help me think through", "analyze this problem", "what models apply here", "how should I decide", "evaluate options", or direct model references (e.g., "use second-order thinking", "apply inversion"). 中文觸發：「思維模型」、「幫我分析」、「決策分析」、「多角度思考」、「怎麼判斷」、「幫我想清楚」、「系統思考」、「風險評估」。
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
mission-analysis-specialist
LunCoSim
Perform astrodynamics calculations, trajectory design, and mission analysis. Use this skill for tasks involving "delta-v budget", "orbit propagation", "ground tracks", "eclipse analysis", "maneuver planning", "launch windows", or "transfer orbit design".
market-sizing-analysis
PeterFile
This skill should be used when the user asks to "calculate TAM", "determine SAM", "estimate SOM", "size the market", "calculate market opportunity", "what's the total addressable market", or requests market sizing analysis for a startup or business opportunity.
labour-law-calculator
swarochish
"Calculate statutory benefits under Indian labour laws including PF, ESI, Gratuity, Bonus, Retrenchment Compensation, Notice Pay, and Leave Encashment with precise formulas"
xlsx
samhvw8
"Excel spreadsheet processing and analysis. Formats: .xlsx, .xlsm, .csv, .tsv. Capabilities: create spreadsheets, formulas (error-free), formatting, data analysis, charts, pivot tables, conditional formatting, data validation, template preservation. Actions: create, edit, analyze, visualize, recalculate spreadsheets. Keywords: Excel, spreadsheet, xlsx, csv, formula, VLOOKUP, SUMIF, pivot table, chart, graph, data analysis, formatting, conditional formatting, data validation, workbook, worksheet, cell reference, named range, macro. Use when: creating spreadsheets, editing Excel files, analyzing tabular data, building formulas, creating charts/graphs, working with CSV/TSV, preserving spreadsheet templates."
procedural-landscapes
CK42BB
Generate procedural 3D landscapes and terrain in Three.js using WebGPU compute shaders with automatic WebGL2 fallback. Covers heightmap generation via FBM noise, ridged multifractal, and domain warping; chunked LOD terrain meshes; slope-based multi-material texturing; procedural water planes; atmospheric sky rendering; and instanced vegetation scattering. Use when building terrain generators, open-world environments, landscape visualizers, flight simulators, or any 3D scene requiring procedural ground surfaces. Triggers: "procedural terrain", "landscape generator", "heightmap", "terrain mesh", "procedural world", "open world", "terrain LOD", "terrain chunks", "noise terrain", "3D landscape".
analyzing-code
iota9star
Analyzes code statistics by language for project insight, CI/CD metrics, or before refactoring. Use this skill when understanding project composition, measuring change impact, or generating CI/CD metrics
remote-work-negotiation
founderjourney
Sistema para negociar trabajo remoto y compensacion para Senior Full-Stack Developers. Usar cuando el usuario necesite preparar negociacion salarial, defender trabajo remoto, evaluar ofertas, o responder preguntas sobre compensacion. Activa con palabras como salario, compensacion, remoto, negociar, oferta, equity, beneficios, rate, tarifa. Especializado en developers senior con experiencia SaaS y trabajo remoto internacional.
linkedin-mastery
founderjourney
Sistema completo para optimizar perfiles LinkedIn de desarrolladores senior (IC). Usar cuando el usuario necesite optimizar su perfil LinkedIn, escribir headlines, about sections, descripciones de experiencia laboral, o convertir proyectos tecnicos en narrativas que comuniquen senioridad. Activa con palabras como LinkedIn, perfil, headline, about, experiencia, CV, reclutadores, posicionamiento profesional, branding personal developer. Especializado en Senior Individual Contributors (IC) del mundo tech/SaaS.
saas-financial-projections
founderjourney
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".
amsmath
igbuend
"LaTeX amsmath/amssymb/mathtools packages for mathematical typesetting. Use when helping users write equations, align math, use mathematical symbols, matrices, theorems, or any advanced math formatting."