YouTube videos, blogs, and mathematical visualizations
Visual presentation of the spatial probability model within regular 2D polytopes. Features animated demonstrations of the Periodic Cotangent Function and probability distributions.
Animated explanation of how integers connect to π through floor and ceiling operations on perfect squares. Visualizes the convergence patterns and entropy-driven behavior.
Multi-part series exploring different approaches to Fibonacci number computation, including Lucas's Pascal Triangle method, dynamic programming, and matrix exponentiation.
Exploration of hidden patterns in Pascal's Triangle, including connections to Fibonacci numbers, binomial coefficients, and combinatorial identities.
Introduction to the Online Encyclopedia of Integer Sequences (OEIS) and how to discover, analyze, and contribute to mathematical sequence research.
Visual demonstrations of convergence patterns, asymptotic behavior, and the Uncertainty-Stability Quotient in various mathematical systems.
Deep dive into the power-ratio function modeling transitions from instability to asymptotic certainty. Explores applications across multiple domains including algorithm analysis, ML feature scaling, and financial modeling.
Comprehensive analysis of Lucas's combinatorial approach to Fibonacci computation. Compares computational complexity and performance efficiency against classical methods.
Guide to using CUDA for mathematical research and large-scale numerical computations. Covers parallel algorithm design, memory optimization, and performance tuning.
Step-by-step tutorials on creating mathematical visualizations using Manim (Mathematical Animation Engine). Covers basic animations to complex research presentations.
Collection of writings on number theory discoveries, pattern recognition in integers, and connections between pure mathematics and computational applications.
Essay on applying mathematical rigor and number-theoretic insights to deep learning interpretability. Discusses the future of explainable AI and human-centered systems.
Complete collection of Manim code used for mathematical research presentations. Includes 10+ animations with detailed documentation and customization guides.
Curated collection of Bash commands, Linux one-liners, .bashrc customizations, and automation scripts. Personal notes from years of Unix system experience.
Contributions to the Online Encyclopedia of Integer Sequences, including sequence definitions, formulas, code implementations, and mathematical proofs.
I'm always open to creating educational content, research visualizations, or technical tutorials.
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