Paid advertising knowledge for contractors. Facebook/Instagram ads, Google Ads, audience targeting, budget optimization, and creative strategy. Activates when discussing ads, campaigns, CPL, ROAS, Meta, or Google Ads.

验证码识别与解决 - 本地OCR识别 + 第三方API / CAPTCHA Recognition and Solving - Local OCR + Third-party APIs

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Guide to the math cognitive stack - what tools exist and when to use each

Deterministic router for math cognitive stack - maps user intent to exact CLI commands

Unified math capabilities - computation, solving, and explanation. I route to the right tool.

Routes problems to appropriate mathematical frameworks using expert heuristics

Metacognitive check-ins during problem solving - detects when to pivot or persist

Problem-solving strategies for predicate logic in mathematical logic

Problem-solving strategies for proof theory in mathematical logic

Problem-solving strategies for propositional logic in mathematical logic

Router-First Architecture

Evaluate feature investments using revenue impact, cost structure, ROI, and strategy. Use when deciding whether a feature deserves investment.

Add phase to end of current milestone in roadmap

List pending todos and select one to work on

Display project statistics — phases, plans, requirements, git metrics, and timeline

Add or multiply numbers.

Hedging strategy design (beta hedge / option protection / tail risk / cross-asset hedging), including hedge-ratio calculation and cost evaluation.

Multi-factor cross-sectional stock ranking. Combines factor standardization, equal-weight or IC-weighted scoring, and TopN portfolio construction. Suitable for multi-instrument portfolio strategies.

Performing Regression Analysis

Build discounted cash flow (DCF) valuation models in Excel with free cash flow projections, WACC calculations, and sensitivity analysis for investment banking and corporate finance teams

Create leveraged buyout (LBO) models in Excel with sources & uses, debt schedules, cash flow waterfalls, and IRR calculations for private equity analysis

detecting-data-anomalies

training-machine-learning-models

performing-regression-analysis

excel-dcf-modeler

clade-embeddings-search

flexport-core-workflow-b

fondo-core-workflow-b

langfuse-reference-architecture

posthog-observability

correlation-analyzer

regression-analysis-helper

statistical-significance-calculator

Perform basic arithmetic operations safely using standard operators without eval or exec

Master discrete mathematics, logic, formal proofs, and computational thinking. Build the mathematical foundation for all computer science.

You are creating a work of data art. This skill brings together mathematical elegance, emotional resonance, narrative design, and technical excellence to transform raw data into something beautiful th

Deterministic mathematical computation using SymPy. Use for ANY math operation requiring exact/verified results - basic arithmetic, algebra (simplify, expand, factor, solve equations), calculus (derivatives, integrals, limits, series), linear algebra (matrices, determinants, eigenvalues), trigonometry, number theory (primes, GCD/LCM, factorization), and statistics. Ensures mathematical accuracy by using symbolic computation rather than LLM estimation.

Cloud-based quantum chemistry platform with Python API. Preferred for computational chemistry workflows including pKa prediction, geometry optimization, conformer searching, molecular property calculations, protein-ligand docking (AutoDock Vina), and AI protein cofolding (Chai-1, Boltz-1/2). Use when tasks involve quantum chemistry calculations, molecular property prediction, DFT or semiempirical methods, neural network potentials (AIMNet2), protein-ligand binding predictions, or automated computational chemistry pipelines. Provides cloud compute resources with no local setup required.

Statistics, probability, linear algebra, and mathematical foundations for data science

Configure OpenTelemetry distributed tracing, metrics, and logging in ASP.NET Core using the .NET OpenTelemetry SDK. Use when adding observability, setting up OTLP exporters, creating custom metrics/spans, or troubleshooting distributed trace correlation.

Submit compact ClinicalTrials.gov API v2 requests for study search, metadata, enums, search areas, and field statistics. Use when a user wants concise ClinicalTrials.gov summaries

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Deep EVM bytecode analysis and decompilation capabilities for smart contract security, gas optimization, and reverse engineering. Provides tools for analyzing opcodes, storage layouts, proxy patterns, and bytecode verification.

Analytic Hierarchy Process (AHP) calculation skill for pairwise comparison matrices, consistency checking, and weight derivation

Causal inference skill for estimating treatment effects and understanding causal relationships in business data

Automated decision tree construction skill for structuring complex decisions with probabilities, payoffs, and expected value calculations

Monte Carlo simulation engine skill for probabilistic modeling, risk quantification, and uncertainty propagation

Probability distribution fitting skill for calibrating uncertainty models from historical data or expert judgment

Time series forecasting skill for business metric prediction and demand planning