5 "Probability" Posts

The Five-Second Rule Explored with Math & Python

Why germs transfer immediately, and how math reveals what really happens after food hits the floor

Sep 4, 2025 • Category: Applied Modeling and Simulation • Tags: #physics · #probability · #Python

What You'll Learn

Why germs begin transferring to food as soon as it touches a surface
How moisture, contact area, and surface texture affect contamination
Why germ transfer happens fastest during the first moments of contact
How an exponential curve can model contamination over time
How calculus reveals the changing rate of germ transfer
How Python can estimate when contamination crosses a chosen threshold

Should You Walk or Run in the Rain? The Puzzle That Sparked a Passion

Using physics, Python, and simulation to settle a deceptively simple question

Aug 18, 2025 • Category: Applied Modeling and Simulation • Tags: #physics · #probability · #Python

What You'll Learn

Why moving faster reduces the rain that lands on you from above
Why the amount of rain you hit from the front behaves differently from top-down exposure
How to turn a real-world question about rain into a simplified mathematical model
How Python can simulate wetness at different walking and running speeds
Why running produces diminishing returns even though it still keeps you drier
How wind, body geometry, and randomness could make the basic model more realistic

Behind the Code

My focus is the engineering beneath modern AI systems. After several years of building applications with AI through APIs, my interests have moved below that abstraction layer: understanding how models are architected, trained, evaluated, and served, why they’re designed the way they are, and the engineering tradeoffs behind those decisions.

That direction follows a pattern across my forty-year career as a software developer. I’ve primarily built applications, but I’ve repeatedly found myself pushing beyond the application itself and building the systems, abstractions, and tooling behind it: metaprogramming layers, dynamic runtimes, configuration-driven engines, and automation platforms designed to outlive the original feature request.

The pattern shows across my career: Forms Express at AT&T, a four-layer dynamic runtime shipped for under $500K against a $2M consulting bid; VeriSign’s first-ever customer self-service mobile activation system, which won the 2003 SUPERQuest Award; and TAG at Microsoft, a production LLM orchestration platform that shipped nearly 100 Terraform articles by parsing XML templates, routing prompts to Azure OpenAI, and composing results with browser-driven Azure portal capture. Along the way: C++ MVP, nine technology books, 100+ articles for .NET Programming Tips & Techniques, and helping run CodeGuru, the largest Windows developer community of its era.

After 21 years at Microsoft, I’m now full-time on what’s next: completing my Master’s in Computer Science and publishing at Signal & Syntax, where I research and write about the mathematics and engineering underneath modern AI. I use mathematical models, experiments, and small implementations to explore everything from gradient descent and attention to inference-time behavior and training infrastructure; not just how to use these systems through an API, but how the machinery beneath that API actually works.

Connect with me on LinkedIn .