Engineering Reads — 2026-05-28#
The Big Idea#
True systems mastery requires breaking down monolithic black boxes into understandable, isolated components. Whether you are mathematically decomposing a complex signal into orthogonal basis vectors or strictly isolating untrusted code within a mocked WebAssembly sandbox, engineering craft comes down to defining rigorous boundaries and understanding the mechanisms beneath the abstraction.
Deep Reads#
Notes on Fourier series · Eli Bendersky The trigonometric Fourier series is more than a signal processing trick; it is deeply rooted in linear algebra within a Hilbert space. Bendersky walks through the mechanics of decomposing a periodic function into an infinite sum of sinusoids, demonstrating how the integral formulas for coefficients are actually just projections calculating the dot product of a function against orthogonal basis vectors. The post grounds these continuous concepts with practical constraints, noting that functions need only be square-integrable and piecewise smooth to guarantee pointwise convergence. It bridges the gap between pure math and engineering intuition, trading abstract analysis for concrete examples like complex exponentials and periodic extensions of non-periodic intervals. Engineers looking to build intuition for frequency-domain transforms or those rusty on the linear algebraic foundations of signal processing should read this.