bessel-functions

Pure Rust complex Bessel functions (ACM TOMS 644)

A port of SLATEC, with a few LAPACK routines, into OCaml. It's written in OCaml throughout, so the only thing it depends on is the compiler.

Analytical mode solver for cylindrical step-index fibers.

A pure topological dynamics engine solving galactic rotation flatness and cosmic web damping without dark matter or dark energy. Validated directly against SPARC and Planck datasets with zero-bias, a priori derived universal constants.

Library to create Fourier Bessel wavelets and use them to produce embeddings through a Scattering Network

Explicit denominator-scale asymptotics, Bessel obstruction geometry, and finite-jet rigidity for a class of two-step triangular skew products.

Root-finding algorithms applied to a Bessel function eigenvalue problem from solid mechanics

Fourier-Bessel solution of a cylindrical electrostatic boundary-value problem with field and surface-charge calculations.

An interactive cymatic sand table — ~15k grains settle on the nodal lines of a real Chladni field (square plate + circular membrane). Vanilla JS, Canvas2D, Web Audio. Runs offline.

Provenance-clean J0, J1, and positive J1 roots for Futhark

How does a tabla work? An interactive, open-source explainer. Glassbox No. 025.

A Chladni sand plate simulated from first principles and drawn in your terminal, driven by the frequency content of real audio. Braille sub-dots, no GPU.

Counterexamples to Ashbaugh's higher-index PPW conjecture for Dirichlet Laplacian eigenvalue ratios, with exact-arithmetic verification.