Interactive
Tools
Five tools that do actual calculations on actual data. No mocked outputs, no placeholder charts.
5
Tools
5
Domains
10,181
Uses
Market Simulator
Portfolio Optimization & Backtesting
Build and backtest equity portfolios using historical sector returns. Run Monte Carlo simulations, compute Sharpe ratios, and visualize the efficient frontier.
- Portfolio optimization (mean-variance)
- Historical backtesting (2000–2023)
- Monte Carlo projection (1,000 paths)
- Sharpe, Sortino, Calmar ratios
- Maximum drawdown analysis
Sound Analyzer
Spectral & Harmonic Decomposition
Upload an audio file to generate a spectrogram, Fourier transform, and harmonic decomposition. Visualize frequency content over time.
- STFT spectrogram (up to 8kHz)
- Dominant frequency identification
- Harmonic series visualization
- Spectral centroid & bandwidth
- Frequency heatmap by time window
Basketball Analytics Explorer
Efficiency Metrics & Shot Value
Explore NBA shot efficiency by zone, compute expected value landscapes, and analyze how shot selection changes impact scoring.
- Expected points per zone (2001–2023)
- Shot efficiency heatmap
- Zone-by-zone trend analysis
- EV comparison by player profile
- Three-point revolution timeline
Gompertz & Logistic Explorer
Differential Equation Modeling
Interactively compare four growth models (linear, exponential, logistic, and Gompertz) with adjustable parameters and real-time visualization.
- Exponential, logistic, Gompertz, linear
- Adjustable parameters via sliders
- Phase portrait visualization
- Model comparison overlay
- Export growth curve data
Bayes & Expected Value Workbench
Probability & Bayesian Reasoning
Interactive simulations for Bayesian reasoning, expected value calculations, calibration training, and risk-reward optimization.
- Bayesian prior/posterior updater
- Expected value calculator
- Calibration training exercises
- Mean-variance efficient frontier
- Risk aversion parameter explorer