Notes

Here some notes on various topics. Card thumbnails use the image set in each note’s front matter (default above).

Clifford-KAN

Mathematical Foundations of Clifford-KANs This technical note details the formal integration of Clifford Algebra $\mathcal{C}\ell_{p,q}$ into the Kolmogorov-Arnold Network (KAN) …

Lennard-Jones Potential

The Lennard-Jones Potential The Lennard-Jones potential (also referred to as the L-J potential or 6-12 potential) is a mathematically simple model that approximates the interaction …

Math example page

This page shows how to write mathematics in your Markdown. Math is enabled site-wide in config/_default/params.yaml; you can also set math: true in a page’s front matter to enable …

Smooth Particle Mesh Ewald (PME)

Smooth Particle Mesh Ewald (PME) In molecular simulations, calculating electrostatic interactions is computationally expensive because the Coulomb potential ($1/r$) is long-ranged. …

Spherical Harmonics

Spherical Harmonics and e3nn Spherical Harmonics ($Y_{\ell}^m$) are a set of orthogonal functions defined on the surface of a sphere. They are the angular portion of a set of …