LaTeX and WordPress

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I recently discovered WP QuickLaTeX, a wordpress plugin, and it’s associated QuickLaTeX service. Together, they appear to permit extremely low-faff use of LaTeX within a WordPress intallation (such as this site). Rendered content looks excellent.

For example, here’s the DFT:

(1)   \begin{align*} X_k = \sum_{n=0}^{N-1} x[n] e^{-2\pi i k n /N}\end{align*}

from which we compute the N complex amplitudes X_k of x[n] (where x[n] is an N-length sampled sequence).

The raw code within the WordPress text editor for this page that produced equation 1 is exactly what you’d expect, i.e.,

Rendered by QuickLaTeX.com

We can also express equation 1 as an inner product:

(3)   \begin{align*} X_k &= \langle x,\phi_k \rangle\\ &= \sum_{n=0}^{N-1} x[n] {\phi_k}^{*}[n] \end{align*}

for each of the N unique sampled phasors \phi_k [n] = e^{2\pi i k n/N}.