Math
Mathematical computations, formulas, statistics
geojson-postgis
by mmbmf1
Serialize PostGIS geometry rows into a GeoJSON FeatureCollection for map display (4326, Feature + properties).
Convert Document
by midhunxavier
Convert between LaTeX and DOCX formats. Preserves structure, citations, math equations, figures, and tables during conversion.
business-plan-critique-unit-economics
by magfrump
Critically review a business-plan-shaped draft (founder pitch, investor deck narrative, go-to-market strategy doc, fundraising memo, product strategy brief, financial model, or similar) using a focused set of unit-economics lenses: CAC, LTV, contribution margin, payback period, and gross-margin trajectory. This skill exists because many early-stage plans look defensible on the moat and market story but quietly fail on the math — the per-customer economics either never work or only work at a scale the business can't reach. Use this skill whenever a draft proposes a business or product strategy and the author wants pressure on whether the unit economics actually compound. Also trigger when the draft quotes CAC, LTV, LTV/CAC ratio, churn, retention, gross margin, contribution margin, payback period, NRR/GRR, or any per-customer profitability figure the author wants pressure-tested. Trigger phrases: "do the unit economics work", "review my CAC/LTV", "critique the financial model", "is this fundable on the numbers", "stress-test the margins", "payback period feedback", "contribution margin critique", "unit economics review", "is the LTV real", "are these margins defensible", "check the per-customer math", "review the CAC assumptions", "what's wrong with my unit economics". Produces a structured Markdown critique with a known section layout (CAC, LTV, Contribution Margin, Payback Period, Gross-Margin Trajectory, Factual Foundation, Overall Assessment). Scope is intentionally narrow: moat/distribution and market-sizing critiques are explicitly deferred to sibling skills (business-plan-critique-moat and the future business-plan-critique-market-sizing) so this skill stays focused on the per-customer math. NOTE: This skill is typically invoked by the draft-review orchestrator, which provides a pre-built fact-check report. If a fact-check report is provided, use it as your factual foundation and do not redo basic fact verification.
xlsx
by Jackiexiao
"QUERY LENGTH LIMIT EXCEEDED. MAX ALLOWED QUERY : 500 CHARS"
bazi-pro
by rozario-dev
Professional Bazi analysis skill. Invoke when user asks for "bazi", "fortune telling", "calculate bazi", "eight characters", or "interpret bazi".
postgis-extract-xy
by mmbmf1
Extract longitude and latitude from PostGIS geometries using ST_X and ST_Y safely.
_business-finance-mastery
by TriNgo0108
Master financial integrations, competitive analysis, cost optimizations, and business metrics. Use this as a central index to access specialized sub-skills.
previsao-projecao
by cassoli2016
Gera previsões e projeções a partir do histórico (caixa, demanda de cargas, manutenção, churn) sempre com cenários e premissas explícitas. Use para perguntas sobre o futuro ("quanto vou receber", "vai faltar caixa", "quando esse veículo vai quebrar").
telemetria-insights
by cassoli2016
Transforma telemetria bruta (CAN/J1939) em insights acionáveis — consumo vs alvo, uso de ECO/embalo/freio-motor, detecção de veículo fora da curva e correlação com DTCs. Use para diagnóstico de eficiência e saúde mecânica.
amber
by iamkaf
Amber docs index. Use when building or porting Minecraft mods that use the Amber multiloader library (unified APIs for Fabric/Forge/NeoForge), or when you need quick links to Amber systems (registry, events, networking, commands, config).
xlsx
by TheWatcher01
"Use this skill any time a spreadsheet file is the primary input or output. This means any task where the user wants to: open, read, edit, or fix an existing .xlsx, .xlsm, .csv, or .tsv file (e.g., adding columns, computing formulas, formatting, charting, cleaning messy data); create a new spreadsheet from scratch or from other data sources; or convert between tabular file formats. Trigger especially when the user references a spreadsheet file by name or path — even casually (like \"the xlsx in my downloads\") — and wants something done to it or produced from it. Also trigger for cleaning or restructuring messy tabular data files (malformed rows, misplaced headers, junk data) into proper spreadsheets. The deliverable must be a spreadsheet file. Do NOT trigger when the primary deliverable is a Word document, HTML report, standalone Python script, database pipeline, or Google Sheets API integration, even if tabular data is involved."
memory-taxonomy
by Tzeusy
Education domain memory taxonomy for concept entity resolution, predicates, permanence, tags, and example fact patterns.
3d-graphics
by brixtonpham
"3D web graphics with Three.js (WebGL/WebGPU). Capabilities: scenes, cameras, geometries, materials, lights, animations, model loading (GLTF/FBX), PBR materials, shadows, post-processing (bloom, SSAO, SSR), custom shaders, instancing, LOD, physics, VR/XR. Actions: create, build, animate, render 3D scenes/models. Keywords: Three.js, WebGL, WebGPU, 3D graphics, scene, camera, geometry, material, light, animation, GLTF, FBX, OrbitControls, PBR, shadow mapping, post-processing, bloom, SSAO, shader, instancing, LOD, WebXR, VR, AR, product configurator, data visualization, architectural walkthrough, interactive 3D, canvas. Use when: creating 3D visualizations, building WebGL/WebGPU apps, loading 3D models, adding animations, implementing VR/XR, creating interactive graphics, building product configurators."
homebrew
by YPYT1
Homebrew package manager for macOS. Search, install, manage, and troubleshoot packages and casks.
data-prep
by smouj
Prepare and clean data for machine learning with feature engineering and preprocessing. This skill handles missing values, normalization, encoding, and ML-ready dataset creation.
proof-inventory
by tonyflo79
Catalog, classify, and score all available proof elements for a product or offer. Use after research (Skill 01) is complete and you need to build a comprehensive inventory of testimonials, clinical studies, data points, credentials, awards, media mentions, and other proof assets. Produces a scored proof inventory with gap analysis and promise ceiling calculation. The proof inventory determines what claims you can credibly make — without it, copy makes promises the proof can't support. Trigger when users mention proof inventory, testimonials, evidence audit, social proof, clinical proof, proof scoring, or promise ceiling. Requires research handoff from Skill 01.
arxiv-source-first-paper-ingest
by terrylica
Read an arXiv paper faithfully by fetching the authors' own LaTeX source instead of OCR-ing the PDF. Extracts every display equation with its label, environment and enclosing proposition, renders each to MathML, and proves usability by compiling each formula with a real TeX engine. Use when you need a paper's formulas exactly — to replicate a method, implement a loss function or custom objective, verify a quoted number, or check a claim against what the authors actually wrote. TRIGGERS - read this paper, get the paper, arxiv paper, extract formulas from a paper, replicate a method, implement the loss from, verify the paper's numbers, machine-readable paper, latex source, mathml, e-print.
bayesian-ppl-diagnostics
by YuukiAS
Executable guidance for Bayesian workflows using Stan/CmdStanPy, brms, PyMC, and ArviZ, with legacy JAGS/OpenBUGS paths and Rcpp acceleration patterns.
xlsx
by aiagentskills
"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"
numpy-statistics
by cuba6112
Standard and NaN-robust statistical functions for data analysis, histograms, and correlation matrices. Triggers: statistics, mean, nanmean, histogram, corrcoef, percentile, std.
gonol-build
by The-Interdependency
"Construction, closure, and replay contract for gonols across UCNS and EDCM. Load this when building or reviewing UCNS geometry used by gonols, or building EDCM character, word, definition, or recursive-relation gonols. UCNS owns geometry; EDCM owns text construction. The required EDCM order is characters -> words -> definitions -> recursive gonol relations. Pronunciation is not required unless an explicitly declared later experiment makes it part of the construction. Do not load for unrelated geometry, ordinary prose editing, or measurement over already-closed gonols."
postgis-dwithin
by mmbmf1
Distance-based spatial filtering with ST_DWithin, using index-friendly and unit-safe patterns.
threejs-fundamentals
by epun
Three.js scene setup, cameras, renderer, Object3D hierarchy, coordinate systems. Use when setting up 3D scenes, creating cameras, configuring renderers, managing object hierarchies, or working with transforms.
csv-data-summary
by JetSquirrel
Analyzes CSV files, generates comprehensive summary statistics, identifies data patterns, and creates visualizations using Python and pandas. Automatically adapts analysis based on data type (sales, customer, financial, survey, operational).