Simulating Chaotic Dynamical Systems & N-Body Orbits with Runge-Kutta Methods
Phase-space analysis, Lyapunov exponents, and numerical integration techniques for non-linear physical equations on ARM64.
Rigorous technical research across Technology, Mathematics, Physics, Philosophy, Law, and Finance.
Phase-space analysis, Lyapunov exponents, and numerical integration techniques for non-linear physical equations on ARM64.
Designing tamper-evident auditing systems, mathematical invariants in accounting equations, and verifiable journal entries.
Building price-time priority matching algorithms, FIFO queues, and stochastic jump-diffusion modeling for asset pricing.
Analyzing offer, acceptance, unilateral mistake, and regulatory liability in decentralized protocol executions.
Exploring information entropy, reversibility in physical computation, and philosophical implications for artificial consciousness.
Memory buffer pooling, fasthttp internals, and lock-free concurrency patterns for squeezing 150,000 req/sec out of 2 CPU cores.
A rigorous geometric and algebraic derivation of spectral decomposition, Principal Component Analysis, and vector embeddings in AI.
High-throughput MQTT ingestion, memory-bounded queuing, and time-partitioned database design for resource-constrained edge environments.