2026
Designing Leak Localisation for the Missing Sensor
An editorial account of a synthetic water-network study that places pressure sensors for useful evidence even after one measurement disappears.
Writing
Ideas organized by what they help you do.
Curated notes sit alongside 55 complete articles migrated from the original Markdown archive.
Research Notes
2026
The Alarm Before the Heat
Building and stress-testing a graph-aware battery thermal warning model without confusing a synthetic result for a safety claim.
2025
Reading a Spatial Dengue Experiment Carefully
A guide to what a synthetic reaction–diffusion experiment can—and cannot—show about climate-sensitive transmission.
Teaching Notes
2026
From Open Question to Reproducible Model
A compact workflow for assumptions, model choice, computation, validation, limitations, and communication.
Technical Tutorials
2024
Interpolation Without Losing the Shape of the Problem
A topic guide connecting polynomial interpolation, Chebyshev nodes, and the Gibbs phenomenon.
Migrated Markdown
Previously published articles
The original article bodies, equations, code, and citations are preserved. Archive notices distinguish them from newly reviewed editorial work.
Technical Tutorials · 2026
Delays, Limit Cycles, and Phase Diffusion: A Mathematical Framework for Optomechanically Levitated Nanoparticles
You are standing at an optical table, looking at a vacuum chamber where a dielectric nanoparticle is levitated by a tightly focused laser beam. As the pressure decreases into the Knudsen regime, the system becomes highly underdamped. To...
Research Notes · 2026
Hubs, Pheromones, and No-Fly Zones: A Mathematical Framework for Last-Mile Drone Delivery Optimization
You are standing in a control room, looking at an 8×8 km city grid. Three No-Fly Zones—a park, a hospital, a government building—occupy strategic positions. Fifty customer locations are scattered across the remaining space. Your job:...
Technical Tutorials · 2026
Rising Tides, Rising Costs: Optimizing Coastal Defense Strategies Against Sea Level Rise and Storm Surges
You are standing on a coastal promenade in 2024, watching the gentle waves lap against the seawall. The city behind you—$10 billion in property value, home to half a million people—sits just meters above sea level. The wall is 2 meters...
Technical Tutorials · 2026
The Kessler Horizon: A Deep Dive into Modeling Orbital Debris Cascades with Parallelized Cowell’s Formulation
Welcome to another technical deep-dive! In this post, we venture into the orbital battlefield above Earth—where every defunct satellite or forgotten bolt can become the spark for a catastrophic chain reaction. This is the story of the...
Technical Tutorials · 2026
The Geometry of War: Modeling the Primarch Duel with Newtonian Physics and Stochastic Control
The jetbike screams through the void, its engine a thunderclap in the silence of space. At the controls, Jaghatai Khan—the Warhawk, Primarch of the White Scars—pushes his mount to the absolute limit. Ahead, wreathed in toxic mist,...
Technical Tutorials · 2026
Ghost Hunters on the Highway: Quantifying the Stabilizing Effect of Autonomous Vehicles on Phantom Traffic Jams using IDM and MOBIL
You are driving on the highway, cruising at 110 km/h. Suddenly, brake lights flare ahead. You stomp on your pedal, checking your rearview mirror, heart rate spiking. The car behind you swerves slightly. You crawl forward for ten...