Building in public. Systems, trading, and engineering insights.
Complete guide to Linux package management. Learn how RPM, DPKG, YUM, and APT work, their differences, and when to use each one. Includes practical examples and best practices for production systems.
Why does a group of just 23 people have a 50% chance of sharing a birthday? Explore this famous probability paradox, the math behind it, and its real-world applications in cryptography and security.
Discover Kolmogorov's three axioms of probability that form the mathematical foundation of all statistics. Learn what they mean, why they matter, and what they enable.
Master the 11 fundamental properties of probability derived from Kolmogorov's axioms. Learn the addition rule, conditional probability, Bayes' theorem, and how they all connect.
Explore the 300-year-old matching problem and discover why the probability of a complete derangement converges to 1/e ≈ 36.8%. A historical classic with modern applications.
Master Taylor series: the technique to approximate any smooth function with polynomials. Learn the formula, common examples (sin, cos, e^x), and why it's fundamental to computing.
Build four real web apps — Todo, Dashboard, Chat, and Store — using zero npm packages. Master HTTP, routing, WebSockets, sessions, file uploads, and deployment from scratch.
Behind-the-scenes look at building a SaaS trading platform. From architecture decisions to production deployment, learn how KitKatExchange went from idea to beta users.
Detailed comparison of two trading strategies on BTCUSDT. Includes backtest results, live performance metrics, and lessons learned deploying algorithms at scale.
Real-world examples of critical security vulnerabilities in smart contracts. Learn what to look for during audits and how to prevent common pitfalls in DeFi protocols.
How I built a PARA + Zettelkasten system from 211 engineering blogs using AI summaries and dbt pipelines. A practical guide to knowledge management at scale.
Apply systems thinking principles to software engineering, infrastructure design, and product development. Real examples from building at scale.