Small nitpick: <img width="1324" height="288" alt="Image" src="https://github.com/user-attachments/assets/7ef5fdf8-b8ce-4b8a-adcd-a9c1f1248bd8" /> Uses $\times$ for $x$ but $\cdot$ for $\beta$. I'd be happy to open a PR to change this to $\times$, which appears to be used more consistently.