This is a test.

This year, I want to experiment with posting some of my expository notes and small research musings in a blog format. This is a test of Bay’s blogging functionality.

As this is just a test, let’s try rendering a multi-line equation directly from my notes:1

\begin{align} \mathbf{h}^{(0)}(\mathbf{x}) &= \mathbf{x} \in \mathbb{R}^{n_0} \\\
\mathbf{h}^{(\ell)}(\mathbf{x}) &= \frac{1}{\sqrt{n_{\ell-1}}} \mathbf{W}^{(\ell)} \phi_{\ell}(\mathbf{h}^{(\ell-1)}(\mathbf{x})) \in \mathbb{R}^{n_{\ell}} \qquad \ell = 1, \ldots, L . \end{align}

  1. As noted in Mufan Li’s issue related to rendering of multiline equations, the newline command \\ must be escaped; like him I find that \\\\ is not sufficient, but \\\\\\\\ works.