Testing MathJax

We do plenty of math, so I’d like to test out MathJax support.

Here is an example of MathJax inline rendering — $1/x^{2}$. And here is a block rendering: $$r_{XY} = \frac{\mathrm{cov}(X,Y)}{\sqrt{\mathrm{var}(X)\mathrm{var}(Y)}}$$

Now, if we’d like to get serious, we’d do something involving multiline aligned equations, like $$\begin{align} \mathcal{N}(t, \mu, \sigma) &= \mathrm{normal} \newline &= \frac{1}{\sqrt{2 \pi} \sigma} e^{-\frac{(t-\mu)^2}{2 \sigma^2}} \end{align}$$ or even an inline formula like $\sum_{t=0}^{\infty} \frac{x^t}{t!} = e^x$.

Or we could try defining a command, like this. $\newcommand{\water}{\mathrm{H}_{2}\mathrm{O}}$

Buffer slides off the sides of our tubes like $\water$ off a duck’s back.