Latest posts
- Notes on the Fourier TransformJul 15, 2026Eli Bendersky
The Fourier series is a great tool for analyzing periodic functions. But what about functions that don’t repeat? We’ve seen that we can compute Fourier series for a non-periodic function defined on a finite interval, as long as we don’t care about its behavior beyond that interval. Let’s extend this idea to functions that never repeat; that is, non-periodic functions defined on the interval (-\inf
- Dot product: Component vs. Geometric definitionJul 11, 2026Eli Bendersky
The goal of this post is to answer a simple question: why are the following two definitions of the vector dot product in Euclidean space [1] equivalent for vectors \vec{a} and \vec{b}: Component definition: \vec{a}\cdot\vec{b}=\sum_{i=1}^{n}a_i b_i Geometric definition: \vec{a}\cdot\vec{b}=|\vec{a}||\vec{b}|cos(\theta), where |\vec{a}| is the magnitude of \vec{a} and is the angle between the vect
- Summary of reading: April - June 2026Jul 01, 2026Eli Bendersky
"The Nuremberg Trial" by John Tusa and Ann Tusa - a detailed, meticulously researched account of the Nuremberg Trials. There's not a whole lot of side questing in this book - it's all focused on the trials themselves. Interesting read overall, though somewhat dry and academic. "Things Become Other Things: A Walking Memoir" by Craig Mod - a kind of travelogue of the author walking across Japan's Ki
- Plugins case study: PluggyJun 14, 2026Eli Bendersky
Recently I came upon Pluggy, a Python library for developing plugin systems. It was originally developed as part of the pytest project - known for its rich plugin ecosystem - and later extracted into a standalone library. You're supposed to reach out for Pluggy if you want to add a plugin system to your tool or library and want to use something proven rather than rolling your own. In this post I w
- Thoughts on starting new projects with LLM agentsJun 07, 2026Eli Bendersky
A few months ago I wrote about using LLM agents to help restructuring one of my Python projects. It's worth beginning by saying that the rewrite has been successful by all reasonable measures; I've been able to continue maintaining that project since then without an issue. In this post, I want to discuss another project I've recently completed with significant help from agents: watgo. In this proj