eli-thegreenplace-net

The article provides technical notes on the trigonometric Fourier series, explaining how it decomposes periodic functions into an infinite sum of sinusoids, and includes examples along with connections to linear algebra in Hilbert space.

This article explains how the parameters A, w, and θ in the general sinusoid function s(x)=A·sin(w·x+θ) affect the amplitude, frequency, and phase shift of the standard sine wave.

The article discusses a claim that WebAssembly (WASM) is not a pure stack machine due to its use of locals and the absence of stack manipulation operations like dup and swap. The author explores this critique and shares their own thoughts on WASM's design as a stack machine.

Chrome DevTools includes a capable WebAssembly debugger that can help developers debug generated WASM code. The tool provides debugging functionality for WASM projects like Scheme compilers.

The author describes rewriting their widely-used pycparser project, a pure-Python C language parser, with the help of an LLM. The project previously used PLY for parsing but has been updated through this rewrite process.

The article discusses linear algebra concepts applied to polynomials, specifically the set P_n(ℝ) of real polynomials with degree ≤ n. It explores how these polynomials can be expressed using n+1 scalar coefficients and examines their properties as a vector space.

Lagrange interpolating polynomials provide a method to find a polynomial that perfectly fits a given set of distinct data points. The approach constructs a polynomial of degree at most n that passes through n+1 specified points. This technique is widely used in numerical analysis and approximation theory.

The article summarizes books read from January to March 2026, including Thomas Sowell's "Intellectuals and Society" which critiques left-leaning intellectuals, and mentions other works in a reading list format.

watgo is a WebAssembly Toolkit for Go that provides a CLI and Go API to parse and validate WAT (WebAssembly Text). It's similar to existing tools like wabt and wasm-tools but implemented in pure, zero-dependency Go.