Math
Mathematical computations, formulas, statistics
three-js-interactive-builder
by organvm-iv-taxis
Scaffold and build interactive 3D visualizations using Three.js with emphasis on algorithmic art, sacred geometry, temporal animations, and modular architecture. Use when creating WebGL visualizations, generative art pieces, interactive 3D experiences, particle systems, flow fields, or projects like gravitational spirals, temporal perspective pieces, or illuminated visual narratives. Triggers on requests for Three.js projects, 3D web graphics, algorithmic visualizations, or sacred geometry renders.
xlsx-editor
by Exploration-labs
Specialized guidance for editing EXISTING Excel files with emphasis on preserving formulas, formatting, and structure across multiple tabs. Use this skill when modifying, updating, or adding data to existing .xlsx files where maintaining integrity is critical—particularly for multi-tab workbooks, complex formulas, formatted tables, and data that must maintain sort order and relationships across sheets.
Msa
by robdtaylor
Conduct Gage R&R studies and validate measurement systems per AIAG MSA manual. Covers variable and attribute studies, acceptance criteria, and calculation methods. USE WHEN user says 'MSA', 'gage R&R', 'GR&R', 'measurement system', 'repeatability', 'reproducibility', 'attribute agreement', or 'ndc'. Integrates with ControlPlan, SPC, and AutomotiveManufacturing skills.
Quoteestimator
by robdtaylor
Rough cycle time and cost estimation for CNC machined parts. Uses MNMUK plant capabilities and standard estimating factors. USE WHEN user says 'quote', 'estimate', 'cycle time', 'how long', 'cost estimate', 'pricing', 'how much to make', or describes a part needing a rough quote.
Damperengineering
by robdtaylor
Hydraulic damper design engineering for customer applications. Mechanical and hydraulic engineering, materials selection (aluminium/steel), seal/O-ring design, DSSV valve specification. USE WHEN user says 'damper design', 'application engineering', 'damper spec', 'customer application', 'damping curve', 'valve sizing', 'seal design', 'O-ring', 'slyde ring', or needs to capture customer damper requirements.
Costengineering
by robdtaylor
Manufacturing cost accounting, analysis, and reduction for automotive operations. Covers overhead/burden rate calculation, variance analysis, make vs buy decisions, value engineering, and cycle time to cost conversion. USE WHEN user says 'cost analysis', 'overhead rate', 'burden rate', 'variance analysis', 'make vs buy', 'value engineering', 'cost reduction', 'should cost', 'labour rate', or needs manufacturing cost guidance.
3d-visualizer
by daffy0208
Expert in Three.js, 3D graphics, and interactive 3D visualizations
cfd-mathematician
by dangeles
Use when invoked by cfd-bioreactor orchestrator to provide rigorous mathematical analysis of FEM variational formulations, function space selection, stability conditions (inf-sup, Lax-Milgram), convergence rate estimation, and dimensionless number analysis for bioreactor CFD simulations. Produces mathematical specifications that the orchestrator translates into FEniCSx code.
calculator
by dangeles
Use when quantitative feasibility checks are needed, order-of-magnitude estimates must be established, or detailed models are required to validate design assumptions and identify rate-limiting steps
mathematician
by dangeles
Use when designing algorithms, analyzing complexity, selecting numerical methods, or verifying mathematical correctness for software implementations.
arcgis-cim-symbols
by SaschaBrunnerCH
Create advanced cartographic symbols using CIM (Cartographic Information Model). Use for complex multi-layer symbols, animated markers, custom line patterns, and data-driven symbology.
matlab-stats-ml
by 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."
remotion-performance-optimizer
by ncklrs
Analyzes Remotion compositions for performance issues and provides optimization recommendations. Identifies expensive computations, unnecessary re-renders, large assets, memoization opportunities, and architecture improvements. Use when optimizing render times or when asked to "improve performance", "speed up renders", "optimize Remotion video".
cross-disciplinary-ideation
by Data-Wise
Field connection mapping and systematic ideation for method transfer
methods-paper-writer
by Data-Wise
JASA/Biometrika manuscript structure with VanderWeele notation standards
role-algorithms:data-structures
by 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
by 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
by 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.
preview-threejs
by veelenga
Create interactive 3D visualizations using Three.js with orbit controls, lighting, and animation
uniswap-fundamentals
by rustydotwtf
Reference for Uniswap V3/V4 concepts used in Doppler development, including tick math, sqrtPriceX96, concentrated liquidity formulas, and V4 hooks/singleton architecture.
risk-reward-ratio
by 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.
xlsx
by JayZeeDesign
"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"
xor-shader-techniques
by ZhangHanDong
Use when implementing shader effects like turbulence, fluid, fire, smoke, procedural noise, starfields, volumetric rendering, raymarching, glow, antialiasing, fractal texturing, or optimizing shader performance with cheap alternatives. Triggers on: shader techniques, shader tricks, shader optimization, turbulence shader, fluid shader, fire shader, smoke shader, procedural noise, dot noise, gyroid noise, efficient chaos, star field, particle scatter, fractal texturing, LOD texturing, texture scaling, volumetric rendering, raymarching, glow effects, antialiasing, analytic antialiasing, fwidth, shader performance, cheap shader effects, GLSL tricks, shader math, shader formulas, Xor shader, GM Shaders, mini.gmshaders.com
multiversx-defi-math
by multiversx
Financial math patterns for MultiversX smart contracts — precision management, half-up rounding, safe rescaling, and percentage calculations. Use when building any DeFi contract that handles financial calculations, fees, rates, or token math.