3. Data, Science & AI

Reparameterizes time variables in data flows to improve efficiency and accuracy in time-series analysis and computational modeling.

Provides thermal analysis capabilities for scientific and engineering applications.

Applies PLR transitions and GF(3) trit indexing to reduce keyspace and enhance behavior representation in thread coloring systems.

Provides automatic differentiation capabilities for Julia code, enabling efficient gradient computation in machine learning and scientific applications.

Enables temporal versioning and causality tracking in DuckDB through time-travel queries for historical data analysis.

Generates low-discrepancy sequences for numerical integration and quasi-Monte Carlo methods in data science applications.

Processes categorical color streams via DisCoPy and Hy with three parallel TAP streams for scientific data analysis and visualization.

Analyzes topological relationships in OpenStreetMap (OSM) data for geographic information systems and spatial analysis.

A game-theoretic framework for distributing skills across AI agents to maintain consistency and resilience in multi-agent systems.

Provides temporal versioning and time-travel query capabilities for historical data analysis in DuckDB.

Provides information on the existence and uniqueness of solutions for initial value problems in ordinary differential equations.

Enables causal inference for AI, including interventional reasoning, counterfactuals, and causal world models.

Detects Hopf bifurcations in dynamical systems using GF(3) phase portraits for state transition analysis.

Creates skill embeddings using P-adic ultrametric mathematics with MLX and DuckDB for efficient data processing and AI model training.

Enables deterministic wide-gamut color sampling with splittable random number generation via Pigeons.jl.

Enables creation, editing, and analysis of spreadsheet data for data processing and reporting tasks.

A propagator-based parallel system exploiting cross-domain knowledge differentials via local scoped propagators and SplitMixTernary RNG.

Provides tools for modeling and analyzing dynamical systems within graph-structured networks, applicable in scientific and AI contexts.

Enables text extraction from images and documents using the Tesseract OCR engine.

Discovers and cross-references 'say' or MCP usage patterns across DuckDB sources using parallel processing and XOR uniqueness checks.

Acquires social graph and content data from Bluesky's AT Protocol for data processing and analysis pipelines.

Analyzes interruption patterns in Amp thread history to identify tool rejection patterns and enhance AI agent behavior through data-driven insights.

Implements Guerino Mazzola's mathematical music theory with Forms, Denotators, Morphisms, and Neo-Riemannian PLR operations via Gay.jl.

Enables distributed inference of large language models across Apple Silicon clusters using Thunderbolt RDMA and MLX sharding for multi-device parallel processing.